diff --git a/dev/.buildinfo b/dev/.buildinfo
index 13044181e..e190e0a5a 100644
--- a/dev/.buildinfo
+++ b/dev/.buildinfo
@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file records the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: e9a5cb47c795754d0c1337d378555ef2
+config: 4c2d19bd5c126fb1506a21c1384a7ad3
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/dev/.doctrees/api/ffsim.random.doctree b/dev/.doctrees/api/ffsim.random.doctree
index 7e2443d4e..1189e0e38 100644
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diff --git a/dev/.doctrees/environment.pickle b/dev/.doctrees/environment.pickle
index 4b35e5d14..ee4556014 100644
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diff --git a/dev/.doctrees/explanations/hamiltonians.doctree b/dev/.doctrees/explanations/hamiltonians.doctree
index 1a86bc658..a27637516 100644
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diff --git a/dev/.doctrees/how-to-guides/entanglement-forging.doctree b/dev/.doctrees/how-to-guides/entanglement-forging.doctree
index a749c17e9..e26ea9c5f 100644
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diff --git a/dev/.doctrees/how-to-guides/fermion-operator.doctree b/dev/.doctrees/how-to-guides/fermion-operator.doctree
index a3887c168..2f23ef85d 100644
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diff --git a/dev/.doctrees/how-to-guides/lucj.doctree b/dev/.doctrees/how-to-guides/lucj.doctree
index 5265fe177..10fa36ff4 100644
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diff --git a/dev/.doctrees/how-to-guides/qiskit-circuits.doctree b/dev/.doctrees/how-to-guides/qiskit-circuits.doctree
index 90576859b..34e39c6d8 100644
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diff --git a/dev/.doctrees/how-to-guides/qiskit-sampler.doctree b/dev/.doctrees/how-to-guides/qiskit-sampler.doctree
index 72183beaa..702c3ef5e 100644
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diff --git a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
index 17bb39168..98bb144eb 100644
--- a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:50.758615Z",
-     "iopub.status.busy": "2024-11-02T22:06:50.758414Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.481361Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.480785Z"
+     "iopub.execute_input": "2024-11-03T03:09:16.346902Z",
+     "iopub.status.busy": "2024-11-03T03:09:16.346714Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.081020Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.080489Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.483854Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.483383Z",
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-     "shell.execute_reply": "2024-11-02T22:06:51.485987Z"
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+     "shell.execute_reply": "2024-11-03T03:09:17.085545Z"
     }
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    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
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-     "iopub.execute_input": "2024-11-02T22:06:51.488478Z",
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-     "shell.execute_reply": "2024-11-02T22:06:51.490731Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.087978Z",
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+     "iopub.status.idle": "2024-11-03T03:09:17.090825Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.090268Z"
     }
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    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.493562Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.493096Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.497862Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.497322Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.093007Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.092646Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.097274Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.096726Z"
     }
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    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.500287Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.499883Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.527874Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.527295Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.099572Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.099346Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.127017Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.126284Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.5571707255154)"
+       "np.float64(-99.5571707255161)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.560563Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.560093Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.266470Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.265818Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.160310Z",
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+     "shell.execute_reply": "2024-11-03T03:09:17.860013Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4178/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4325/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
       "  evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)\n"
      ]
     }
@@ -224,10 +224,10 @@
    "execution_count": 7,
    "metadata": {
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-     "iopub.execute_input": "2024-11-02T22:06:52.269507Z",
-     "iopub.status.busy": "2024-11-02T22:06:52.269047Z",
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-     "shell.execute_reply": "2024-11-02T22:06:52.863902Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.863573Z",
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+     "shell.execute_reply": "2024-11-03T03:09:18.460087Z"
     }
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    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
index 655f3ca37..859e67a31 100644
--- a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
@@ -62,10 +62,10 @@
    "execution_count": 1,
    "metadata": {
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-     "shell.execute_reply": "2024-11-02T22:06:56.898375Z"
+     "iopub.execute_input": "2024-11-03T03:09:21.631563Z",
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+     "shell.execute_reply": "2024-11-03T03:09:22.311881Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
index 8ca2846d6..7b29b6292 100644
--- a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
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-     "iopub.execute_input": "2024-11-02T22:06:58.522357Z",
-     "iopub.status.busy": "2024-11-02T22:06:58.522168Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.126606Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.125965Z"
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+     "shell.execute_reply": "2024-11-03T03:09:28.565031Z"
     }
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    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.128905Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.128584Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.332766Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.332206Z"
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     }
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    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
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-     "shell.execute_reply": "2024-11-02T22:07:00.441733Z"
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@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
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@@ -196,10 +196,10 @@
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@@ -250,10 +250,10 @@
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    "metadata": {
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-     "iopub.status.idle": "2024-11-02T22:07:00.961375Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.960838Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.166796Z",
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    "outputs": [
@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.963675Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.963176Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.100453Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.099729Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.389663Z",
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    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
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-     "iopub.execute_input": "2024-11-02T22:07:01.102962Z",
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-     "shell.execute_reply": "2024-11-02T22:07:01.646337Z"
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    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
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-     "iopub.execute_input": "2024-11-02T22:07:01.649188Z",
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-     "shell.execute_reply": "2024-11-02T22:07:01.844535Z"
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    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.847416Z",
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-     "shell.execute_reply": "2024-11-02T22:07:02.015064Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.222622Z",
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+     "shell.execute_reply": "2024-11-03T03:09:30.392564Z"
     }
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    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.017941Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.017560Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.148536Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.147928Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.395341Z",
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+     "shell.execute_reply": "2024-11-03T03:09:30.527638Z"
     }
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    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.150512Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.150307Z",
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-     "shell.execute_reply": "2024-11-02T22:07:02.332800Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.530494Z",
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    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
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-     "shell.execute_reply": "2024-11-02T22:07:02.497006Z"
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+     "shell.execute_reply": "2024-11-03T03:09:30.875446Z"
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    "outputs": [
@@ -593,10 +593,10 @@
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-     "shell.execute_reply": "2024-11-02T22:07:02.632671Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.878081Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.877874Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.009339Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.008649Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.635564Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.635087Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.793784Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.793247Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.011688Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.011191Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.172103Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.171450Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.795802Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.795595Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.004199Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.003576Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.174179Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.173981Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.352678Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.352060Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.006269Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.006027Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.475875Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.475209Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.354709Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.354371Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.809821Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.809198Z"
     }
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 1547.39x1018.38 with 1 Axes>"
       ]
@@ -776,10 +776,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.478046Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.477834Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.741246Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.740643Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.812088Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.811571Z",
+     "iopub.status.idle": "2024-11-03T03:09:32.070455Z",
+     "shell.execute_reply": "2024-11-03T03:09:32.069935Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
index ab5474e3e..fa05e1d09 100644
--- a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
@@ -26,10 +26,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:06.348043Z",
-     "iopub.status.busy": "2024-11-02T22:07:06.347449Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.057825Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.057280Z"
+     "iopub.execute_input": "2024-11-03T03:09:34.368745Z",
+     "iopub.status.busy": "2024-11-03T03:09:34.368470Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.073398Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.072795Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.059969Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.059671Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.066592Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.065966Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.075828Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.075334Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.082159Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.081632Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.068827Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.068331Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.073007Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.072434Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.084178Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.083815Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.087941Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.087438Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.075076Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.074703Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.078868Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.078309Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.089961Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.089501Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.093668Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.093217Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.080725Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.080532Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.086393Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.085880Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.095658Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.095181Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.100872Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.100400Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.088300Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.087940Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.093699Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.093134Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.102857Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.102500Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.108227Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.107638Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.095605Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.095418Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.100663Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.100092Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.110198Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.109861Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.114791Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.114306Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png b/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png
index 5d5866284..adc6258bc 100644
Binary files a/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png and b/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png differ
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
index 9a33caec3..2a86a5b8e 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:09.094115Z",
-     "iopub.status.busy": "2024-11-02T22:07:09.093635Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.093726Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.093004Z"
+     "iopub.execute_input": "2024-11-03T03:09:36.781894Z",
+     "iopub.status.busy": "2024-11-03T03:09:36.781699Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.765285Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.764665Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpp56jd4o0\n",
+      "Parsing /tmp/tmp1kn5cxxi\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -125,10 +125,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.097160Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.096390Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.101323Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.100896Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.768847Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.767905Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.773013Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.772563Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.103629Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.103242Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.106674Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.106113Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.774914Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.774553Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.777802Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.777214Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.108692Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.108255Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.226251Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.225704Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.779838Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.779439Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.892792Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.892277Z"
     }
    },
    "outputs": [
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.228417Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.227955Z",
-     "iopub.status.idle": "2024-11-02T22:07:18.112696Z",
-     "shell.execute_reply": "2024-11-02T22:07:18.112176Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.894957Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.894498Z",
+     "iopub.status.idle": "2024-11-03T03:09:45.830630Z",
+     "shell.execute_reply": "2024-11-03T03:09:45.830079Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.6838156986605\n",
-      "        x: [-1.603e-01  6.416e-03 ...  5.748e-02 -1.005e-01]\n",
+      "      fun: -75.68381570802092\n",
+      "        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.174e-04  1.151e-04 ... -4.758e-03  7.400e-03]\n",
+      "      jac: [ 2.132e-04  1.165e-04 ... -4.746e-03  7.405e-03]\n",
       "     nfev: 112\n",
       "     njev: 7\n",
       " hess_inv: <15x15 LbfgsInvHessProduct with dtype=float64>\n"
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
index 9eefaa1a6..07c3b327b 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:19.654851Z",
-     "iopub.status.busy": "2024-11-02T22:07:19.654659Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.377607Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.376996Z"
+     "iopub.execute_input": "2024-11-03T03:09:47.572603Z",
+     "iopub.status.busy": "2024-11-03T03:09:47.572123Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.272145Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.271588Z"
     }
    },
    "outputs": [
@@ -40,8 +40,8 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_a(0), des_a(3)): 0.5\n",
        "})"
       ]
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.379884Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.379426Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.383728Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.383237Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.274578Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.273960Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.278035Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.277487Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
+       "'FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.385740Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.385366Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.389693Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.389238Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.279831Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.279613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.283964Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.283396Z"
     }
    },
    "outputs": [
@@ -122,16 +122,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_b(2)): 0-0.25j,\n",
+       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.391711Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.391270Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.395098Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.394617Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.285803Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.285613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.289505Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.288926Z"
     }
    },
    "outputs": [
@@ -182,16 +182,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2)): -5,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.397030Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.396685Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.400609Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.400023Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.291473Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.291124Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.294960Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.294391Z"
     }
    },
    "outputs": [
@@ -231,16 +231,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j\n",
        "})"
       ]
      },
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.402780Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.402327Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.405706Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.405220Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.297038Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.296681Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.299730Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.299148Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.407686Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.407335Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.411626Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.411127Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.301714Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.301366Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.305046Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.304573Z"
     }
    },
    "outputs": [
@@ -341,21 +341,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.413487Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.413143Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.419446Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.418877Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.307040Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.306688Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.311970Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.311499Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.14864815-0.06985559j, 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        ])"
+       "array([ 0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "       -0.07897558+0.00918165j,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.421745Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.421274Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.434858Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.434284Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.313721Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.313530Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.324189Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.323702Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
index 8fa454c33..9a5ebf832 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:22.149915Z",
-     "iopub.status.busy": "2024-11-02T22:07:22.149720Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.165114Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.164515Z"
+     "iopub.execute_input": "2024-11-03T03:09:49.935152Z",
+     "iopub.status.busy": "2024-11-03T03:09:49.934963Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.910705Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.910127Z"
     }
    },
    "outputs": [
@@ -27,14 +27,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.8266321248744\n"
+      "converged SCF energy = -77.8266321248745\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpgls5fgzz\n",
+      "Parsing /tmp/tmp3ddibu_u\n",
       "converged SCF energy = -77.8266321248744\n"
      ]
     },
@@ -42,7 +42,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -123,10 +123,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.168746Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.167789Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.239035Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.238466Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.913953Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.913324Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.984167Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.983496Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374029  E_corr = -0.047583238865859\n"
+      "E(CCSD) = -77.87421536374032  E_corr = -0.04758323886585516\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.8716002481628\n"
+      "Energy at initialization: -77.87160024816322\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.241642Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.241348Z",
-     "iopub.status.idle": "2024-11-02T22:09:07.699439Z",
-     "shell.execute_reply": "2024-11-02T22:09:07.698844Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.986862Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.986639Z",
+     "iopub.status.idle": "2024-11-03T03:11:35.224237Z",
+     "shell.execute_reply": "2024-11-03T03:11:35.223530Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392331689\n",
-      "        x: [-1.152e+00 -1.542e-04 ...  3.684e-04  1.287e-01]\n",
+      "      fun: -77.87387392050736\n",
+      "        x: [-1.153e+00  3.835e-04 ...  3.271e-04  1.286e-01]\n",
       "      nit: 10\n",
-      "      jac: [-1.421e-05 -3.411e-05 ...  8.527e-06  7.105e-06]\n",
+      "      jac: [-7.532e-05 -4.832e-05 ... -1.421e-06  5.684e-06]\n",
       "     nfev: 949\n",
       "     njev: 13\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:07.703001Z",
-     "iopub.status.busy": "2024-11-02T22:09:07.702186Z",
-     "iopub.status.idle": "2024-11-02T22:09:44.475010Z",
-     "shell.execute_reply": "2024-11-02T22:09:44.474342Z"
+     "iopub.execute_input": "2024-11-03T03:11:35.227184Z",
+     "iopub.status.busy": "2024-11-03T03:11:35.226942Z",
+     "iopub.status.idle": "2024-11-03T03:12:12.262082Z",
+     "shell.execute_reply": "2024-11-03T03:12:12.261507Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426389763\n",
-      "        x: [-1.153e+00 -3.426e-05 ...  3.518e-02  2.561e-01]\n",
+      "      fun: -77.87363426424223\n",
+      "        x: [-1.152e+00 -9.666e-05 ...  3.520e-02  2.561e-01]\n",
       "      nit: 5\n",
-      "      jac: [-2.842e-06 -8.527e-06 ...  2.842e-06 -1.421e-06]\n",
+      "      jac: [-2.842e-05  0.000e+00 ...  5.684e-06  2.842e-06]\n",
       "     nfev: 329\n",
       "     njev: 7\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
@@ -314,10 +314,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:44.478658Z",
-     "iopub.status.busy": "2024-11-02T22:09:44.477668Z",
-     "iopub.status.idle": "2024-11-02T22:10:06.110406Z",
-     "shell.execute_reply": "2024-11-02T22:10:06.109698Z"
+     "iopub.execute_input": "2024-11-03T03:12:12.264734Z",
+     "iopub.status.busy": "2024-11-03T03:12:12.264493Z",
+     "iopub.status.idle": "2024-11-03T03:12:36.098471Z",
+     "shell.execute_reply": "2024-11-03T03:12:36.097860Z"
     }
    },
    "outputs": [
@@ -328,29 +328,29 @@
       "Number of parameters: 46\n",
       " message: Convergence: Relative reduction of objective function <= ftol.\n",
       " success: True\n",
-      "     fun: -77.87363432086376\n",
-      "       x: [-1.152e+00 -6.554e-05 ...  3.512e-02  2.558e-01]\n",
+      "     fun: -77.87363433758041\n",
+      "       x: [-1.151e+00 -4.606e-04 ...  3.452e-02  2.562e-01]\n",
       "     nit: 3\n",
-      "     jac: [ 6.404e-07 -6.053e-07 ... -8.231e-08 -1.129e-07]\n",
-      "    nfev: 544\n",
+      "     jac: [ 4.562e-07  1.736e-07 ... -3.227e-07 -4.524e-07]\n",
+      "    nfev: 577\n",
       "    njev: 4\n",
-      "  nlinop: 360\n",
+      "  nlinop: 393\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363062143118\n",
-      "    Norm of gradient: 0.0016370665470034896\n",
-      "    Regularization hyperparameter: 0.0032271540206360518\n",
-      "    Variation hyperparameter: 0.9997509026686763\n",
+      "    Energy: -77.8736283232542\n",
+      "    Norm of gradient: 0.0019097937737423828\n",
+      "    Regularization hyperparameter: 0.0011342252364610983\n",
+      "    Variation hyperparameter: 0.9833189070064106\n",
       "Iteration 2\n",
-      "    Energy: -77.87363431675553\n",
-      "    Norm of gradient: 3.8336260919499114e-05\n",
-      "    Regularization hyperparameter: 0.0025217349578626033\n",
-      "    Variation hyperparameter: 0.9997506593747205\n",
+      "    Energy: -77.87363426110551\n",
+      "    Norm of gradient: 0.00010311164011631924\n",
+      "    Regularization hyperparameter: 0.004681491680754198\n",
+      "    Variation hyperparameter: 0.9801535566741463\n",
       "Iteration 3\n",
-      "    Energy: -77.87363432086376\n",
-      "    Norm of gradient: 5.710324954165145e-06\n",
-      "    Regularization hyperparameter: 0.0025222760278943114\n",
-      "    Variation hyperparameter: 0.9997506618976828\n"
+      "    Energy: -77.87363433758041\n",
+      "    Norm of gradient: 1.2775334823866314e-05\n",
+      "    Regularization hyperparameter: 0.003048628566278581\n",
+      "    Variation hyperparameter: 0.9802467636577891\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
index 6ecb445e1..b18288874 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:07.678004Z",
-     "iopub.status.busy": "2024-11-02T22:10:07.677818Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.377733Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.377077Z"
+     "iopub.execute_input": "2024-11-03T03:12:37.889779Z",
+     "iopub.status.busy": "2024-11-03T03:12:37.889596Z",
+     "iopub.status.idle": "2024-11-03T03:12:38.580022Z",
+     "shell.execute_reply": "2024-11-03T03:12:38.579464Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.380399Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.379943Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.950985Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.950368Z"
+     "iopub.execute_input": "2024-11-03T03:12:38.582251Z",
+     "iopub.status.busy": "2024-11-03T03:12:38.581958Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.150076Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.149437Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.953549Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.952846Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.012477Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.011861Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.152839Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.152130Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.214306Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.213700Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.014649Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.014206Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.018489Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.017849Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.216546Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.216162Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.220539Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.219965Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d47ee0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d7b0>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.020438Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.020240Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.025295Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.024703Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.222630Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.222281Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.227274Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.226695Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6fdc0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b5007bb0>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.027527Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.027034Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.031793Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.031307Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.229451Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.228955Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.233536Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.233060Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e78100>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d660>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.033747Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.033377Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.037418Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.036961Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.235405Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.235044Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.239111Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.238652Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d66026e0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48be170>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.039543Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.039079Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.043658Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.043057Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.241098Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.240734Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.245046Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.244474Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e7a410>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b519f850>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.045788Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.045430Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.050355Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.049767Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.246992Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.246644Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.251581Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.251112Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6603340>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48befb0>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.052549Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.052067Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.057472Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.056994Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.253610Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.253168Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.258320Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.257748Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e79180>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b531fe50>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.059366Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.059031Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.064840Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.064331Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.260485Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.260126Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.265208Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.264754Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6df30>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b50078b0>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
index e4d5f4c53..97b6ce455 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.023218Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.023032Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.726751Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.726209Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.138211Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.137758Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.822139Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.821616Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.729211Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.728796Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.792461Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.791845Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.824635Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.824156Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.888068Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.887437Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.794615Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.794266Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.073149Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.072610Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.890036Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.889820Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.164116Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.163502Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110062\n"
+      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110059\n"
      ]
     },
     {
@@ -188,15 +188,15 @@
      "data": {
       "text/plain": [
        "{'0000000000011100000000000111': 9924,\n",
-       " '0000000000110100000000001101': 16,\n",
        " '0000000001110000000000000111': 10,\n",
        " '0000000000011100000000011100': 10,\n",
-       " '0000000001011000000000010110': 10,\n",
+       " '0000000001011000000000001101': 7,\n",
        " '0001000001010000000000000111': 5,\n",
-       " '0000000001011000100000000110': 4,\n",
-       " '0100000000100100000000000111': 3,\n",
+       " '0000000001011000000000010110': 5,\n",
+       " '0000000000111000000000001110': 3,\n",
+       " '0000000000110100000000010110': 3,\n",
        " '0000000000011100100000001100': 3,\n",
-       " '0010000000011000000000010110': 3}"
+       " '0000000001010100000000010101': 3}"
       ]
      },
      "execution_count": 3,
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:12.075120Z",
-     "iopub.status.busy": "2024-11-02T22:10:12.074921Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.625245Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.624751Z"
+     "iopub.execute_input": "2024-11-03T03:12:42.166426Z",
+     "iopub.status.busy": "2024-11-03T03:12:42.165828Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.716195Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.715670Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557086637\n"
+      "SCF energy = -75.3484557078781\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.45619739097027  E_corr = -0.1077416823065346\n"
+      "E(UCCSD) = -75.45619739111282  E_corr = -0.1077416832347316\n"
      ]
     },
     {
diff --git a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
index 636d05070..67fab4d38 100644
--- a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
+++ b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:14.381182Z",
-     "iopub.status.busy": "2024-11-02T22:10:14.380997Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.137804Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.137200Z"
+     "iopub.execute_input": "2024-11-03T03:12:44.267379Z",
+     "iopub.status.busy": "2024-11-03T03:12:44.267196Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.023340Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.022753Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.141695Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.140522Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.145296Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.144828Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.027049Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.025926Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.030664Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.030224Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.147362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.147044Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.151602Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.151030Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.032787Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.032369Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.037126Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.036677Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.153661Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.153315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.157122Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.156662Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.039118Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.038771Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.042961Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.042384Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.159022Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.158702Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.162593Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.161960Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.045031Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.044679Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.048132Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.047640Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.164656Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.164315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.182933Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.182341Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.050095Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.049748Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.068578Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.068091Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.036685417309836654\n"
+      "Maximum error in a tensor entry: 0.03668541730983488\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.184960Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.184491Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.188871Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.188284Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.070623Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.070269Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.074468Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.074013Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.191079Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.190624Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.194332Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.193718Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.076384Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.076038Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.079535Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.079045Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.196201Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.195900Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.294202Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.293548Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.081597Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.081249Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.179224Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.178629Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.297362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.296578Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.346001Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.345517Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.182273Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.181487Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.234243Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.233745Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.940243538754112\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402435115134801\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.347846Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.347659Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.576635Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.576128Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.252904Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.252557Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.465435Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.464922Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539957\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198805\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.578705Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.578355Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.721380Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.720805Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.467506Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.467310Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.595746Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.595252Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539393\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198383\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.723511Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.723079Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.827746Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.827238Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.597844Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.597491Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.705201Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.704572Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731164192681\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731164187923\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/tutorials/double-factorized-trotter.doctree b/dev/.doctrees/tutorials/double-factorized-trotter.doctree
index d001175ab..659fe7fa7 100644
Binary files a/dev/.doctrees/tutorials/double-factorized-trotter.doctree and b/dev/.doctrees/tutorials/double-factorized-trotter.doctree differ
diff --git a/dev/_images/explanations_qiskit-gate-decompositions_34_0.png b/dev/_images/explanations_qiskit-gate-decompositions_34_0.png
index 5d5866284..adc6258bc 100644
Binary files a/dev/_images/explanations_qiskit-gate-decompositions_34_0.png and b/dev/_images/explanations_qiskit-gate-decompositions_34_0.png differ
diff --git a/dev/_modules/ffsim/random/random.html b/dev/_modules/ffsim/random/random.html
index 5ac5e4fd5..9871af7d3 100644
--- a/dev/_modules/ffsim/random/random.html
+++ b/dev/_modules/ffsim/random/random.html
@@ -308,6 +308,37 @@ <h1>Source code for ffsim.random.random</h1><div class="highlight"><pre>
 
 
 
+<div class="viewcode-block" id="random_density_matrix">
+<a class="viewcode-back" href="../../../api/ffsim.random.html#ffsim.random.random_density_matrix">[docs]</a>
+<span class="k">def</span> <span class="nf">random_density_matrix</span><span class="p">(</span><span class="n">dim</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="o">*</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">complex</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">np</span><span class="o">.</span><span class="n">ndarray</span><span class="p">:</span>
+<span class="w">    </span><span class="sd">&quot;&quot;&quot;Returns a random density matrix distributed with Hilbert-Schmidt measure.</span>
+
+<span class="sd">    A density matrix is Hermitian and has eigenvalues between 0 and 1.</span>
+
+<span class="sd">    Args:</span>
+<span class="sd">        dim: The width and height of the matrix.</span>
+<span class="sd">        seed: A seed to initialize the pseudorandom number generator.</span>
+<span class="sd">            Should be a valid input to ``np.random.default_rng``.</span>
+
+<span class="sd">    Returns:</span>
+<span class="sd">        The sampled density matrix.</span>
+
+<span class="sd">    References:</span>
+<span class="sd">        - `arXiv:0909.5094`_</span>
+
+<span class="sd">    .. _arXiv:0909.5094: https://arxiv.org/abs/0909.5094</span>
+<span class="sd">    &quot;&quot;&quot;</span>
+    <span class="n">rng</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">default_rng</span><span class="p">(</span><span class="n">seed</span><span class="p">)</span>
+
+    <span class="n">mat</span> <span class="o">=</span> <span class="n">rng</span><span class="o">.</span><span class="n">standard_normal</span><span class="p">((</span><span class="n">dim</span><span class="p">,</span> <span class="n">dim</span><span class="p">))</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="n">dtype</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+    <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">issubdtype</span><span class="p">(</span><span class="n">dtype</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">complexfloating</span><span class="p">):</span>
+        <span class="n">mat</span> <span class="o">+=</span> <span class="mi">1</span><span class="n">j</span> <span class="o">*</span> <span class="n">rng</span><span class="o">.</span><span class="n">standard_normal</span><span class="p">((</span><span class="n">dim</span><span class="p">,</span> <span class="n">dim</span><span class="p">))</span>
+    <span class="n">mat</span> <span class="o">@=</span> <span class="n">mat</span><span class="o">.</span><span class="n">T</span><span class="o">.</span><span class="n">conj</span><span class="p">()</span>
+    <span class="n">mat</span> <span class="o">/=</span> <span class="n">np</span><span class="o">.</span><span class="n">trace</span><span class="p">(</span><span class="n">mat</span><span class="p">)</span>
+    <span class="k">return</span> <span class="n">mat</span></div>
+
+
+
 <div class="viewcode-block" id="random_unitary">
 <a class="viewcode-back" href="../../../api/ffsim.random.html#ffsim.random.random_unitary">[docs]</a>
 <span class="k">def</span> <span class="nf">random_unitary</span><span class="p">(</span><span class="n">dim</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="o">*</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="nb">complex</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">np</span><span class="o">.</span><span class="n">ndarray</span><span class="p">:</span>
diff --git a/dev/api/ffsim.random.html b/dev/api/ffsim.random.html
index 1021822b4..ba92ab44d 100644
--- a/dev/api/ffsim.random.html
+++ b/dev/api/ffsim.random.html
@@ -300,6 +300,32 @@
 </dl>
 </dd></dl>
 
+<dl class="py function">
+<dt class="sig sig-object py" id="ffsim.random.random_density_matrix">
+<span class="sig-prename descclassname"><span class="pre">ffsim.random.</span></span><span class="sig-name descname"><span class="pre">random_density_matrix</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">dim</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed=None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype=&lt;class</span> <span class="pre">'complex'&gt;</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/ffsim/random/random.html#random_density_matrix"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#ffsim.random.random_density_matrix" title="Link to this definition">¶</a></dt>
+<dd><p>Returns a random density matrix distributed with Hilbert-Schmidt measure.</p>
+<p>A density matrix is Hermitian and has eigenvalues between 0 and 1.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dim</strong> (<span class="sphinx_autodoc_typehints-type"><code class="xref py py-class docutils literal notranslate"><span class="pre">int</span></code></span>) – The width and height of the matrix.</p></li>
+<li><p><strong>seed</strong> – A seed to initialize the pseudorandom number generator.
+Should be a valid input to <code class="docutils literal notranslate"><span class="pre">np.random.default_rng</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p><span class="sphinx_autodoc_typehints-type"><code class="xref py py-class docutils literal notranslate"><span class="pre">ndarray</span></code></span></p>
+</dd>
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>The sampled density matrix.</p>
+</dd>
+</dl>
+<p class="rubric">References</p>
+<ul class="simple">
+<li><p><a class="reference external" href="https://arxiv.org/abs/0909.5094">arXiv:0909.5094</a></p></li>
+</ul>
+</dd></dl>
+
 <dl class="py function">
 <dt class="sig sig-object py" id="ffsim.random.random_diagonal_coulomb_hamiltonian">
 <span class="sig-prename descclassname"><span class="pre">ffsim.random.</span></span><span class="sig-name descname"><span class="pre">random_diagonal_coulomb_hamiltonian</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">norb</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/ffsim/random/random.html#random_diagonal_coulomb_hamiltonian"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#ffsim.random.random_diagonal_coulomb_hamiltonian" title="Link to this definition">¶</a></dt>
@@ -798,6 +824,7 @@
             <ul>
 <li><a class="reference internal" href="#">ffsim.random</a><ul>
 <li><a class="reference internal" href="#ffsim.random.random_antihermitian"><code class="docutils literal notranslate"><span class="pre">random_antihermitian()</span></code></a></li>
+<li><a class="reference internal" href="#ffsim.random.random_density_matrix"><code class="docutils literal notranslate"><span class="pre">random_density_matrix()</span></code></a></li>
 <li><a class="reference internal" href="#ffsim.random.random_diagonal_coulomb_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_diagonal_coulomb_hamiltonian()</span></code></a></li>
 <li><a class="reference internal" href="#ffsim.random.random_double_factorized_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_double_factorized_hamiltonian()</span></code></a></li>
 <li><a class="reference internal" href="#ffsim.random.random_fermion_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_fermion_hamiltonian()</span></code></a></li>
diff --git a/dev/api/index.html b/dev/api/index.html
index cb373d55a..4170ae019 100644
--- a/dev/api/index.html
+++ b/dev/api/index.html
@@ -418,6 +418,7 @@ <h1>API reference<a class="headerlink" href="#api-reference" title="Link to this
 </li>
 <li class="toctree-l1"><a class="reference internal" href="ffsim.random.html">ffsim.random</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_antihermitian"><code class="docutils literal notranslate"><span class="pre">random_antihermitian()</span></code></a></li>
+<li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_density_matrix"><code class="docutils literal notranslate"><span class="pre">random_density_matrix()</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_diagonal_coulomb_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_diagonal_coulomb_hamiltonian()</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_double_factorized_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_double_factorized_hamiltonian()</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="ffsim.random.html#ffsim.random.random_fermion_hamiltonian"><code class="docutils literal notranslate"><span class="pre">random_fermion_hamiltonian()</span></code></a></li>
diff --git a/dev/explanations/hamiltonians.html b/dev/explanations/hamiltonians.html
index 6c1e6d9a3..c0b28430f 100644
--- a/dev/explanations/hamiltonians.html
+++ b/dev/explanations/hamiltonians.html
@@ -377,7 +377,7 @@ <h2>Operator action via SciPy LinearOperators<a class="headerlink" href="#Operat
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-np.float64(-99.5571707255154)
+np.float64(-99.5571707255161)
 </pre></div></div>
 </div>
 <p>Time evolution by the Hamiltonian can be computed using <code class="docutils literal notranslate"><span class="pre">expm_multiply</span></code>:</p>
@@ -395,7 +395,7 @@ <h2>Operator action via SciPy LinearOperators<a class="headerlink" href="#Operat
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_4178/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
+/tmp/ipykernel_4325/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
   evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)
 </pre></div></div>
 </div>
diff --git a/dev/explanations/hamiltonians.ipynb b/dev/explanations/hamiltonians.ipynb
index 17bb39168..98bb144eb 100644
--- a/dev/explanations/hamiltonians.ipynb
+++ b/dev/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:50.758615Z",
-     "iopub.status.busy": "2024-11-02T22:06:50.758414Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.481361Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.480785Z"
+     "iopub.execute_input": "2024-11-03T03:09:16.346902Z",
+     "iopub.status.busy": "2024-11-03T03:09:16.346714Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.081020Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.080489Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.483854Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.483383Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.486495Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.485987Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.083290Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.082995Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.086117Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.085545Z"
     }
    },
    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.488478Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.488009Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.491328Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.490731Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.087978Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.087600Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.090825Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.090268Z"
     }
    },
    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.493562Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.493096Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.497862Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.497322Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.093007Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.092646Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.097274Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.096726Z"
     }
    },
    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.500287Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.499883Z",
-     "iopub.status.idle": "2024-11-02T22:06:51.527874Z",
-     "shell.execute_reply": "2024-11-02T22:06:51.527295Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.099572Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.099346Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.127017Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.126284Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.5571707255154)"
+       "np.float64(-99.5571707255161)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:51.560563Z",
-     "iopub.status.busy": "2024-11-02T22:06:51.560093Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.266470Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.265818Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.160310Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.160096Z",
+     "iopub.status.idle": "2024-11-03T03:09:17.860643Z",
+     "shell.execute_reply": "2024-11-03T03:09:17.860013Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4178/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4325/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
       "  evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)\n"
      ]
     }
@@ -224,10 +224,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:52.269507Z",
-     "iopub.status.busy": "2024-11-02T22:06:52.269047Z",
-     "iopub.status.idle": "2024-11-02T22:06:52.864554Z",
-     "shell.execute_reply": "2024-11-02T22:06:52.863902Z"
+     "iopub.execute_input": "2024-11-03T03:09:17.863573Z",
+     "iopub.status.busy": "2024-11-03T03:09:17.863211Z",
+     "iopub.status.idle": "2024-11-03T03:09:18.460712Z",
+     "shell.execute_reply": "2024-11-03T03:09:18.460087Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/orbital-rotation.ipynb b/dev/explanations/orbital-rotation.ipynb
index 655f3ca37..859e67a31 100644
--- a/dev/explanations/orbital-rotation.ipynb
+++ b/dev/explanations/orbital-rotation.ipynb
@@ -62,10 +62,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:56.169737Z",
-     "iopub.status.busy": "2024-11-02T22:06:56.169538Z",
-     "iopub.status.idle": "2024-11-02T22:06:56.899037Z",
-     "shell.execute_reply": "2024-11-02T22:06:56.898375Z"
+     "iopub.execute_input": "2024-11-03T03:09:21.631563Z",
+     "iopub.status.busy": "2024-11-03T03:09:21.631376Z",
+     "iopub.status.idle": "2024-11-03T03:09:22.312533Z",
+     "shell.execute_reply": "2024-11-03T03:09:22.311881Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/qiskit-gate-decompositions.ipynb b/dev/explanations/qiskit-gate-decompositions.ipynb
index 8ca2846d6..7b29b6292 100644
--- a/dev/explanations/qiskit-gate-decompositions.ipynb
+++ b/dev/explanations/qiskit-gate-decompositions.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:06:58.522357Z",
-     "iopub.status.busy": "2024-11-02T22:06:58.522168Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.126606Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.125965Z"
+     "iopub.execute_input": "2024-11-03T03:09:23.917368Z",
+     "iopub.status.busy": "2024-11-03T03:09:23.917178Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.565565Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.565031Z"
     }
    },
    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.128905Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.128584Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.332766Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.332206Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.567924Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.567322Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.761542Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.761019Z"
     }
    },
    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.334978Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.334626Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.442284Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.441733Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.763519Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.763323Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.870911Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.870313Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.444404Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.444018Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.553502Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.552920Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.872949Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.872604Z",
+     "iopub.status.idle": "2024-11-03T03:09:28.980857Z",
+     "shell.execute_reply": "2024-11-03T03:09:28.980297Z"
     }
    },
    "outputs": [
@@ -196,10 +196,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.555681Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.555487Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.739469Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.738954Z"
+     "iopub.execute_input": "2024-11-03T03:09:28.982990Z",
+     "iopub.status.busy": "2024-11-03T03:09:28.982648Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.164677Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.164172Z"
     }
    },
    "outputs": [
@@ -250,10 +250,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.741538Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.741329Z",
-     "iopub.status.idle": "2024-11-02T22:07:00.961375Z",
-     "shell.execute_reply": "2024-11-02T22:07:00.960838Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.166796Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.166349Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.387587Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.386986Z"
     }
    },
    "outputs": [
@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:00.963675Z",
-     "iopub.status.busy": "2024-11-02T22:07:00.963176Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.100453Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.099729Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.389663Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.389299Z",
+     "iopub.status.idle": "2024-11-03T03:09:29.523546Z",
+     "shell.execute_reply": "2024-11-03T03:09:29.523016Z"
     }
    },
    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.102962Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.102426Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.646930Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.646337Z"
+     "iopub.execute_input": "2024-11-03T03:09:29.525706Z",
+     "iopub.status.busy": "2024-11-03T03:09:29.525352Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.039067Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.038535Z"
     }
    },
    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.649188Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.648806Z",
-     "iopub.status.idle": "2024-11-02T22:07:01.845179Z",
-     "shell.execute_reply": "2024-11-02T22:07:01.844535Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.041471Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.041025Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.220602Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.220016Z"
     }
    },
    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:01.847416Z",
-     "iopub.status.busy": "2024-11-02T22:07:01.847024Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.015640Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.015064Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.222622Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.222411Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.393201Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.392564Z"
     }
    },
    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.017941Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.017560Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.148536Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.147928Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.395341Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.394997Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.528290Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.527638Z"
     }
    },
    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.150512Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.150307Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.333394Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.332800Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.530494Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.530071Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.717127Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.716609Z"
     }
    },
    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.335622Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.335231Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.497600Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.497006Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.719094Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.718894Z",
+     "iopub.status.idle": "2024-11-03T03:09:30.876052Z",
+     "shell.execute_reply": "2024-11-03T03:09:30.875446Z"
     }
    },
    "outputs": [
@@ -593,10 +593,10 @@
    "execution_count": 14,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.499931Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.499520Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.633290Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.632671Z"
+     "iopub.execute_input": "2024-11-03T03:09:30.878081Z",
+     "iopub.status.busy": "2024-11-03T03:09:30.877874Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.009339Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.008649Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.635564Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.635087Z",
-     "iopub.status.idle": "2024-11-02T22:07:02.793784Z",
-     "shell.execute_reply": "2024-11-02T22:07:02.793247Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.011688Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.011191Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.172103Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.171450Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:02.795802Z",
-     "iopub.status.busy": "2024-11-02T22:07:02.795595Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.004199Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.003576Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.174179Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.173981Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.352678Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.352060Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.006269Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.006027Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.475875Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.475209Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.354709Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.354371Z",
+     "iopub.status.idle": "2024-11-03T03:09:31.809821Z",
+     "shell.execute_reply": "2024-11-03T03:09:31.809198Z"
     }
    },
    "outputs": [
     {
      "data": {
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",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 1547.39x1018.38 with 1 Axes>"
       ]
@@ -776,10 +776,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:03.478046Z",
-     "iopub.status.busy": "2024-11-02T22:07:03.477834Z",
-     "iopub.status.idle": "2024-11-02T22:07:03.741246Z",
-     "shell.execute_reply": "2024-11-02T22:07:03.740643Z"
+     "iopub.execute_input": "2024-11-03T03:09:31.812088Z",
+     "iopub.status.busy": "2024-11-03T03:09:31.811571Z",
+     "iopub.status.idle": "2024-11-03T03:09:32.070455Z",
+     "shell.execute_reply": "2024-11-03T03:09:32.069935Z"
     }
    },
    "outputs": [
diff --git a/dev/explanations/state-vectors-and-gates.ipynb b/dev/explanations/state-vectors-and-gates.ipynb
index ab5474e3e..fa05e1d09 100644
--- a/dev/explanations/state-vectors-and-gates.ipynb
+++ b/dev/explanations/state-vectors-and-gates.ipynb
@@ -26,10 +26,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:06.348043Z",
-     "iopub.status.busy": "2024-11-02T22:07:06.347449Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.057825Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.057280Z"
+     "iopub.execute_input": "2024-11-03T03:09:34.368745Z",
+     "iopub.status.busy": "2024-11-03T03:09:34.368470Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.073398Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.072795Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.059969Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.059671Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.066592Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.065966Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.075828Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.075334Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.082159Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.081632Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.068827Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.068331Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.073007Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.072434Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.084178Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.083815Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.087941Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.087438Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.075076Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.074703Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.078868Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.078309Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.089961Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.089501Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.093668Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.093217Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.080725Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.080532Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.086393Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.085880Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.095658Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.095181Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.100872Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.100400Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.088300Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.087940Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.093699Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.093134Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.102857Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.102500Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.108227Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.107638Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:07.095605Z",
-     "iopub.status.busy": "2024-11-02T22:07:07.095418Z",
-     "iopub.status.idle": "2024-11-02T22:07:07.100663Z",
-     "shell.execute_reply": "2024-11-02T22:07:07.100092Z"
+     "iopub.execute_input": "2024-11-03T03:09:35.110198Z",
+     "iopub.status.busy": "2024-11-03T03:09:35.109861Z",
+     "iopub.status.idle": "2024-11-03T03:09:35.114791Z",
+     "shell.execute_reply": "2024-11-03T03:09:35.114306Z"
     }
    },
    "outputs": [
diff --git a/dev/genindex.html b/dev/genindex.html
index 654e4653a..45290075f 100644
--- a/dev/genindex.html
+++ b/dev/genindex.html
@@ -998,6 +998,8 @@ <h2>R</h2>
   <table style="width: 100%" class="indextable genindextable"><tr>
     <td style="width: 33%; vertical-align: top;"><ul>
         <li><a href="api/ffsim.random.html#ffsim.random.random_antihermitian">random_antihermitian() (in module ffsim.random)</a>
+</li>
+        <li><a href="api/ffsim.random.html#ffsim.random.random_density_matrix">random_density_matrix() (in module ffsim.random)</a>
 </li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_diagonal_coulomb_hamiltonian">random_diagonal_coulomb_hamiltonian() (in module ffsim.random)</a>
 </li>
@@ -1026,11 +1028,11 @@ <h2>R</h2>
         <li><a href="api/ffsim.random.html#ffsim.random.random_t2_amplitudes">random_t2_amplitudes() (in module ffsim.random)</a>
 </li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_two_body_tensor">random_two_body_tensor() (in module ffsim.random)</a>
-</li>
-        <li><a href="api/ffsim.random.html#ffsim.random.random_uccsd_restricted">random_uccsd_restricted() (in module ffsim.random)</a>
 </li>
     </ul></td>
     <td style="width: 33%; vertical-align: top;"><ul>
+        <li><a href="api/ffsim.random.html#ffsim.random.random_uccsd_restricted">random_uccsd_restricted() (in module ffsim.random)</a>
+</li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_ucj_op_spin_balanced">random_ucj_op_spin_balanced() (in module ffsim.random)</a>
 </li>
         <li><a href="api/ffsim.random.html#ffsim.random.random_ucj_op_spin_unbalanced">random_ucj_op_spin_unbalanced() (in module ffsim.random)</a>
diff --git a/dev/how-to-guides/entanglement-forging.html b/dev/how-to-guides/entanglement-forging.html
index 70cfdaec7..6fca73f9e 100644
--- a/dev/how-to-guides/entanglement-forging.html
+++ b/dev/how-to-guides/entanglement-forging.html
@@ -335,7 +335,7 @@ <h2>Build a molecule<a class="headerlink" href="#Build-a-molecule" title="Link t
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 converged SCF energy = -75.6787887956297
-Parsing /tmp/tmpp56jd4o0
+Parsing /tmp/tmp1kn5cxxi
 converged SCF energy = -75.6787887956314
 CASCI E = -75.7288249991515  E(CI) = -23.6332495815006  S^2 = 0.0000000
 norb = 6
@@ -347,7 +347,7 @@ <h2>Build a molecule<a class="headerlink" href="#Build-a-molecule" title="Link t
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-Overwritten attributes  get_ovlp get_hcore  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable
@@ -471,10 +471,10 @@ <h2>Optimize energy<a class="headerlink" href="#Optimize-energy" title="Link to
   message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT
   success: False
    status: 1
-      fun: -75.6838156986605
-        x: [-1.603e-01  6.416e-03 ...  5.748e-02 -1.005e-01]
+      fun: -75.68381570802092
+        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]
       nit: 3
-      jac: [ 2.174e-04  1.151e-04 ... -4.758e-03  7.400e-03]
+      jac: [ 2.132e-04  1.165e-04 ... -4.746e-03  7.405e-03]
      nfev: 112
      njev: 7
  hess_inv: &lt;15x15 LbfgsInvHessProduct with dtype=float64&gt;
diff --git a/dev/how-to-guides/entanglement-forging.ipynb b/dev/how-to-guides/entanglement-forging.ipynb
index 9a33caec3..2a86a5b8e 100644
--- a/dev/how-to-guides/entanglement-forging.ipynb
+++ b/dev/how-to-guides/entanglement-forging.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:09.094115Z",
-     "iopub.status.busy": "2024-11-02T22:07:09.093635Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.093726Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.093004Z"
+     "iopub.execute_input": "2024-11-03T03:09:36.781894Z",
+     "iopub.status.busy": "2024-11-03T03:09:36.781699Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.765285Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.764665Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpp56jd4o0\n",
+      "Parsing /tmp/tmp1kn5cxxi\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -125,10 +125,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.097160Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.096390Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.101323Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.100896Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.768847Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.767905Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.773013Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.772563Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.103629Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.103242Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.106674Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.106113Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.774914Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.774553Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.777802Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.777214Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.108692Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.108255Z",
-     "iopub.status.idle": "2024-11-02T22:07:10.226251Z",
-     "shell.execute_reply": "2024-11-02T22:07:10.225704Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.779838Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.779439Z",
+     "iopub.status.idle": "2024-11-03T03:09:37.892792Z",
+     "shell.execute_reply": "2024-11-03T03:09:37.892277Z"
     }
    },
    "outputs": [
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:10.228417Z",
-     "iopub.status.busy": "2024-11-02T22:07:10.227955Z",
-     "iopub.status.idle": "2024-11-02T22:07:18.112696Z",
-     "shell.execute_reply": "2024-11-02T22:07:18.112176Z"
+     "iopub.execute_input": "2024-11-03T03:09:37.894957Z",
+     "iopub.status.busy": "2024-11-03T03:09:37.894498Z",
+     "iopub.status.idle": "2024-11-03T03:09:45.830630Z",
+     "shell.execute_reply": "2024-11-03T03:09:45.830079Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.6838156986605\n",
-      "        x: [-1.603e-01  6.416e-03 ...  5.748e-02 -1.005e-01]\n",
+      "      fun: -75.68381570802092\n",
+      "        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.174e-04  1.151e-04 ... -4.758e-03  7.400e-03]\n",
+      "      jac: [ 2.132e-04  1.165e-04 ... -4.746e-03  7.405e-03]\n",
       "     nfev: 112\n",
       "     njev: 7\n",
       " hess_inv: <15x15 LbfgsInvHessProduct with dtype=float64>\n"
diff --git a/dev/how-to-guides/fermion-operator.html b/dev/how-to-guides/fermion-operator.html
index cfa186be1..4cb7f4b8d 100644
--- a/dev/how-to-guides/fermion-operator.html
+++ b/dev/how-to-guides/fermion-operator.html
@@ -315,8 +315,8 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_a(3), des_a(0)): -0.25,
     (cre_b(1), des_b(5), cre_a(4)): 1+1j,
+    (cre_a(3), des_a(0)): -0.25,
     (cre_a(0), des_a(3)): 0.5
 })
 </pre></div></div>
@@ -336,7 +336,7 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&#39;FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})&#39;
+&#39;FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j})&#39;
 </pre></div></div>
 </div>
 <p>FermionOperators support arithmetic operations. Note that when multiplying a FermionOperator by a scalar, the scalar must go on the left, i.e. <code class="docutils literal notranslate"><span class="pre">2</span> <span class="pre">*</span> <span class="pre">op</span></code> and not <code class="docutils literal notranslate"><span class="pre">op</span> <span class="pre">*</span> <span class="pre">2</span></code>.</p>
@@ -365,16 +365,16 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="highlight"><pre>
 FermionOperator({
     (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
-    (des_a(3), des_b(3)): 0.0625,
-    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
-    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
     (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
-    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,
+    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
+    (cre_a(0), des_a(3)): 1,
     (cre_b(2)): 0-0.25j,
+    (des_a(3), des_b(3)): 0.0625,
+    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
     (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
     (cre_a(3), des_a(0)): -0.5,
-    (cre_a(0), des_a(3)): 1,
-    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j
+    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
+    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j
 })
 </pre></div></div>
 </div>
@@ -404,16 +404,16 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="highlight"><pre>
 FermionOperator({
     (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
-    (des_a(3), des_b(3)): 0-1.25j,
-    (cre_a(3), des_a(0), cre_b(2)): -1,
-    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
     (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
-    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,
+    (cre_a(0), des_a(3), cre_b(2)): 2,
+    (cre_a(0), des_a(3)): 0-6j,
     (cre_b(2)): -5,
+    (des_a(3), des_b(3)): 0-1.25j,
+    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
     (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
     (cre_a(3), des_a(0)): 0+3j,
-    (cre_a(0), des_a(3)): 0-6j,
-    (cre_a(0), des_a(3), cre_b(2)): 2
+    (cre_a(3), des_a(0), cre_b(2)): -1,
+    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j
 })
 </pre></div></div>
 </div>
@@ -434,16 +434,16 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
-    (cre_a(0), des_a(3)): 0-6j,
     (cre_b(2), cre_a(0), des_a(3)): 2,
-    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
-    (cre_b(2), cre_a(3), des_a(0)): -1,
-    (cre_a(3), des_a(0)): 0+3j,
     (des_b(3), des_a(3)): 0+1.25j,
-    (cre_b(2)): -5,
+    (cre_b(2), cre_a(3), des_a(0)): -1,
+    (cre_a(0), des_a(3)): 0-6j,
+    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
     (cre_b(1), cre_a(4), des_b(5)): -12+12j,
-    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j
+    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
+    (cre_b(2)): -5,
+    (cre_a(3), des_a(0)): 0+3j,
+    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j
 })
 </pre></div></div>
 </div>
@@ -512,11 +512,11 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-array([0.        +0.j        , 0.        +0.j        ,
-       0.        +0.j        , 0.        +0.j        ,
-       0.14864815-0.06985559j, 0.        +0.j        ,
-       0.        +0.j        , 0.        +0.j        ,
-       0.        +0.j        ])
+array([ 0.        +0.j        ,  0.        +0.j        ,
+        0.        +0.j        ,  0.        +0.j        ,
+       -0.07897558+0.00918165j,  0.        +0.j        ,
+        0.        +0.j        ,  0.        +0.j        ,
+        0.        +0.j        ])
 </pre></div></div>
 </div>
 <p>It can also be passed into most linear algebra routines in <code class="docutils literal notranslate"><span class="pre">scipy.sparse.linalg</span></code>.</p>
diff --git a/dev/how-to-guides/fermion-operator.ipynb b/dev/how-to-guides/fermion-operator.ipynb
index 9eefaa1a6..07c3b327b 100644
--- a/dev/how-to-guides/fermion-operator.ipynb
+++ b/dev/how-to-guides/fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:19.654851Z",
-     "iopub.status.busy": "2024-11-02T22:07:19.654659Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.377607Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.376996Z"
+     "iopub.execute_input": "2024-11-03T03:09:47.572603Z",
+     "iopub.status.busy": "2024-11-03T03:09:47.572123Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.272145Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.271588Z"
     }
    },
    "outputs": [
@@ -40,8 +40,8 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
        "    (cre_a(0), des_a(3)): 0.5\n",
        "})"
       ]
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.379884Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.379426Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.383728Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.383237Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.274578Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.273960Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.278035Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.277487Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
+       "'FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.385740Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.385366Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.389693Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.389238Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.279831Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.279613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.283964Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.283396Z"
     }
    },
    "outputs": [
@@ -122,16 +122,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_b(2)): 0-0.25j,\n",
+       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.391711Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.391270Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.395098Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.394617Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.285803Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.285613Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.289505Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.288926Z"
     }
    },
    "outputs": [
@@ -182,16 +182,16 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2)): -5,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.397030Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.396685Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.400609Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.400023Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.291473Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.291124Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.294960Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.294391Z"
     }
    },
    "outputs": [
@@ -231,16 +231,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j\n",
        "})"
       ]
      },
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.402780Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.402327Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.405706Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.405220Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.297038Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.296681Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.299730Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.299148Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.407686Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.407335Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.411626Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.411127Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.301714Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.301366Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.305046Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.304573Z"
     }
    },
    "outputs": [
@@ -341,21 +341,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.413487Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.413143Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.419446Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.418877Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.307040Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.306688Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.311970Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.311499Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.14864815-0.06985559j, 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        ])"
+       "array([ 0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "       -0.07897558+0.00918165j,  0.        +0.j        ,\n",
+       "        0.        +0.j        ,  0.        +0.j        ,\n",
+       "        0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:20.421745Z",
-     "iopub.status.busy": "2024-11-02T22:07:20.421274Z",
-     "iopub.status.idle": "2024-11-02T22:07:20.434858Z",
-     "shell.execute_reply": "2024-11-02T22:07:20.434284Z"
+     "iopub.execute_input": "2024-11-03T03:09:48.313721Z",
+     "iopub.status.busy": "2024-11-03T03:09:48.313530Z",
+     "iopub.status.idle": "2024-11-03T03:09:48.324189Z",
+     "shell.execute_reply": "2024-11-03T03:09:48.323702Z"
     }
    },
    "outputs": [
diff --git a/dev/how-to-guides/lucj.html b/dev/how-to-guides/lucj.html
index 9a71dfe99..be0758b21 100644
--- a/dev/how-to-guides/lucj.html
+++ b/dev/how-to-guides/lucj.html
@@ -330,10 +330,10 @@ <h1>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz<a class="hea
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
+converged SCF energy = -77.8266321248745
+Parsing /tmp/tmp3ddibu_u
 converged SCF energy = -77.8266321248744
-Parsing /tmp/tmpgls5fgzz
-converged SCF energy = -77.8266321248744
-CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000
+CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000
 norb = 4
 nelec = (2, 2)
 </pre></div></div>
@@ -343,7 +343,7 @@ <h1>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz<a class="hea
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-Overwritten attributes  get_ovlp get_hcore  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable
@@ -388,8 +388,8 @@ <h2>General UCJ ansatz<a class="headerlink" href="#General-UCJ-ansatz" title="Li
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-E(CCSD) = -77.87421536374029  E_corr = -0.047583238865859
-Energy at initialization: -77.8716002481628
+E(CCSD) = -77.87421536374032  E_corr = -0.04758323886585516
+Energy at initialization: -77.87160024816322
 </pre></div></div>
 </div>
 <div class="nboutput nblast docutils container">
@@ -435,10 +435,10 @@ <h2>General UCJ ansatz<a class="headerlink" href="#General-UCJ-ansatz" title="Li
   message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT
   success: False
    status: 1
-      fun: -77.87387392331689
-        x: [-1.152e+00 -1.542e-04 ...  3.684e-04  1.287e-01]
+      fun: -77.87387392050736
+        x: [-1.153e+00  3.835e-04 ...  3.271e-04  1.286e-01]
       nit: 10
-      jac: [-1.421e-05 -3.411e-05 ...  8.527e-06  7.105e-06]
+      jac: [-7.532e-05 -4.832e-05 ... -1.421e-06  5.684e-06]
      nfev: 949
      njev: 13
  hess_inv: &lt;72x72 LbfgsInvHessProduct with dtype=float64&gt;
@@ -486,10 +486,10 @@ <h2>LUCJ ansatz<a class="headerlink" href="#LUCJ-ansatz" title="Link to this hea
   message: CONVERGENCE: REL_REDUCTION_OF_F_&lt;=_FACTR*EPSMCH
   success: True
    status: 0
-      fun: -77.87363426389763
-        x: [-1.153e+00 -3.426e-05 ...  3.518e-02  2.561e-01]
+      fun: -77.87363426424223
+        x: [-1.152e+00 -9.666e-05 ...  3.520e-02  2.561e-01]
       nit: 5
-      jac: [-2.842e-06 -8.527e-06 ...  2.842e-06 -1.421e-06]
+      jac: [-2.842e-05  0.000e+00 ...  5.684e-06  2.842e-06]
      nfev: 329
      njev: 7
  hess_inv: &lt;46x46 LbfgsInvHessProduct with dtype=float64&gt;
@@ -567,29 +567,29 @@ <h2>Optimize with the linear method<a class="headerlink" href="#Optimize-with-th
 Number of parameters: 46
  message: Convergence: Relative reduction of objective function &lt;= ftol.
  success: True
-     fun: -77.87363432086376
-       x: [-1.152e+00 -6.554e-05 ...  3.512e-02  2.558e-01]
+     fun: -77.87363433758041
+       x: [-1.151e+00 -4.606e-04 ...  3.452e-02  2.562e-01]
      nit: 3
-     jac: [ 6.404e-07 -6.053e-07 ... -8.231e-08 -1.129e-07]
-    nfev: 544
+     jac: [ 4.562e-07  1.736e-07 ... -3.227e-07 -4.524e-07]
+    nfev: 577
     njev: 4
-  nlinop: 360
+  nlinop: 393
 
 Iteration 1
-    Energy: -77.87363062143118
-    Norm of gradient: 0.0016370665470034896
-    Regularization hyperparameter: 0.0032271540206360518
-    Variation hyperparameter: 0.9997509026686763
+    Energy: -77.8736283232542
+    Norm of gradient: 0.0019097937737423828
+    Regularization hyperparameter: 0.0011342252364610983
+    Variation hyperparameter: 0.9833189070064106
 Iteration 2
-    Energy: -77.87363431675553
-    Norm of gradient: 3.8336260919499114e-05
-    Regularization hyperparameter: 0.0025217349578626033
-    Variation hyperparameter: 0.9997506593747205
+    Energy: -77.87363426110551
+    Norm of gradient: 0.00010311164011631924
+    Regularization hyperparameter: 0.004681491680754198
+    Variation hyperparameter: 0.9801535566741463
 Iteration 3
-    Energy: -77.87363432086376
-    Norm of gradient: 5.710324954165145e-06
-    Regularization hyperparameter: 0.0025222760278943114
-    Variation hyperparameter: 0.9997506618976828
+    Energy: -77.87363433758041
+    Norm of gradient: 1.2775334823866314e-05
+    Regularization hyperparameter: 0.003048628566278581
+    Variation hyperparameter: 0.9802467636577891
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/lucj.ipynb b/dev/how-to-guides/lucj.ipynb
index 8fa454c33..9a5ebf832 100644
--- a/dev/how-to-guides/lucj.ipynb
+++ b/dev/how-to-guides/lucj.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:22.149915Z",
-     "iopub.status.busy": "2024-11-02T22:07:22.149720Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.165114Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.164515Z"
+     "iopub.execute_input": "2024-11-03T03:09:49.935152Z",
+     "iopub.status.busy": "2024-11-03T03:09:49.934963Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.910705Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.910127Z"
     }
    },
    "outputs": [
@@ -27,14 +27,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.8266321248744\n"
+      "converged SCF energy = -77.8266321248745\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpgls5fgzz\n",
+      "Parsing /tmp/tmp3ddibu_u\n",
       "converged SCF energy = -77.8266321248744\n"
      ]
     },
@@ -42,7 +42,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -123,10 +123,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.168746Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.167789Z",
-     "iopub.status.idle": "2024-11-02T22:07:23.239035Z",
-     "shell.execute_reply": "2024-11-02T22:07:23.238466Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.913953Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.913324Z",
+     "iopub.status.idle": "2024-11-03T03:09:50.984167Z",
+     "shell.execute_reply": "2024-11-03T03:09:50.983496Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374029  E_corr = -0.047583238865859\n"
+      "E(CCSD) = -77.87421536374032  E_corr = -0.04758323886585516\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.8716002481628\n"
+      "Energy at initialization: -77.87160024816322\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:07:23.241642Z",
-     "iopub.status.busy": "2024-11-02T22:07:23.241348Z",
-     "iopub.status.idle": "2024-11-02T22:09:07.699439Z",
-     "shell.execute_reply": "2024-11-02T22:09:07.698844Z"
+     "iopub.execute_input": "2024-11-03T03:09:50.986862Z",
+     "iopub.status.busy": "2024-11-03T03:09:50.986639Z",
+     "iopub.status.idle": "2024-11-03T03:11:35.224237Z",
+     "shell.execute_reply": "2024-11-03T03:11:35.223530Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392331689\n",
-      "        x: [-1.152e+00 -1.542e-04 ...  3.684e-04  1.287e-01]\n",
+      "      fun: -77.87387392050736\n",
+      "        x: [-1.153e+00  3.835e-04 ...  3.271e-04  1.286e-01]\n",
       "      nit: 10\n",
-      "      jac: [-1.421e-05 -3.411e-05 ...  8.527e-06  7.105e-06]\n",
+      "      jac: [-7.532e-05 -4.832e-05 ... -1.421e-06  5.684e-06]\n",
       "     nfev: 949\n",
       "     njev: 13\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:07.703001Z",
-     "iopub.status.busy": "2024-11-02T22:09:07.702186Z",
-     "iopub.status.idle": "2024-11-02T22:09:44.475010Z",
-     "shell.execute_reply": "2024-11-02T22:09:44.474342Z"
+     "iopub.execute_input": "2024-11-03T03:11:35.227184Z",
+     "iopub.status.busy": "2024-11-03T03:11:35.226942Z",
+     "iopub.status.idle": "2024-11-03T03:12:12.262082Z",
+     "shell.execute_reply": "2024-11-03T03:12:12.261507Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426389763\n",
-      "        x: [-1.153e+00 -3.426e-05 ...  3.518e-02  2.561e-01]\n",
+      "      fun: -77.87363426424223\n",
+      "        x: [-1.152e+00 -9.666e-05 ...  3.520e-02  2.561e-01]\n",
       "      nit: 5\n",
-      "      jac: [-2.842e-06 -8.527e-06 ...  2.842e-06 -1.421e-06]\n",
+      "      jac: [-2.842e-05  0.000e+00 ...  5.684e-06  2.842e-06]\n",
       "     nfev: 329\n",
       "     njev: 7\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
@@ -314,10 +314,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:09:44.478658Z",
-     "iopub.status.busy": "2024-11-02T22:09:44.477668Z",
-     "iopub.status.idle": "2024-11-02T22:10:06.110406Z",
-     "shell.execute_reply": "2024-11-02T22:10:06.109698Z"
+     "iopub.execute_input": "2024-11-03T03:12:12.264734Z",
+     "iopub.status.busy": "2024-11-03T03:12:12.264493Z",
+     "iopub.status.idle": "2024-11-03T03:12:36.098471Z",
+     "shell.execute_reply": "2024-11-03T03:12:36.097860Z"
     }
    },
    "outputs": [
@@ -328,29 +328,29 @@
       "Number of parameters: 46\n",
       " message: Convergence: Relative reduction of objective function <= ftol.\n",
       " success: True\n",
-      "     fun: -77.87363432086376\n",
-      "       x: [-1.152e+00 -6.554e-05 ...  3.512e-02  2.558e-01]\n",
+      "     fun: -77.87363433758041\n",
+      "       x: [-1.151e+00 -4.606e-04 ...  3.452e-02  2.562e-01]\n",
       "     nit: 3\n",
-      "     jac: [ 6.404e-07 -6.053e-07 ... -8.231e-08 -1.129e-07]\n",
-      "    nfev: 544\n",
+      "     jac: [ 4.562e-07  1.736e-07 ... -3.227e-07 -4.524e-07]\n",
+      "    nfev: 577\n",
       "    njev: 4\n",
-      "  nlinop: 360\n",
+      "  nlinop: 393\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363062143118\n",
-      "    Norm of gradient: 0.0016370665470034896\n",
-      "    Regularization hyperparameter: 0.0032271540206360518\n",
-      "    Variation hyperparameter: 0.9997509026686763\n",
+      "    Energy: -77.8736283232542\n",
+      "    Norm of gradient: 0.0019097937737423828\n",
+      "    Regularization hyperparameter: 0.0011342252364610983\n",
+      "    Variation hyperparameter: 0.9833189070064106\n",
       "Iteration 2\n",
-      "    Energy: -77.87363431675553\n",
-      "    Norm of gradient: 3.8336260919499114e-05\n",
-      "    Regularization hyperparameter: 0.0025217349578626033\n",
-      "    Variation hyperparameter: 0.9997506593747205\n",
+      "    Energy: -77.87363426110551\n",
+      "    Norm of gradient: 0.00010311164011631924\n",
+      "    Regularization hyperparameter: 0.004681491680754198\n",
+      "    Variation hyperparameter: 0.9801535566741463\n",
       "Iteration 3\n",
-      "    Energy: -77.87363432086376\n",
-      "    Norm of gradient: 5.710324954165145e-06\n",
-      "    Regularization hyperparameter: 0.0025222760278943114\n",
-      "    Variation hyperparameter: 0.9997506618976828\n"
+      "    Energy: -77.87363433758041\n",
+      "    Norm of gradient: 1.2775334823866314e-05\n",
+      "    Regularization hyperparameter: 0.003048628566278581\n",
+      "    Variation hyperparameter: 0.9802467636577891\n"
      ]
     }
    ],
diff --git a/dev/how-to-guides/qiskit-circuits.html b/dev/how-to-guides/qiskit-circuits.html
index d3b3ed488..68a0533f9 100644
--- a/dev/how-to-guides/qiskit-circuits.html
+++ b/dev/how-to-guides/qiskit-circuits.html
@@ -391,7 +391,7 @@ <h4>Prepare Hartree-Fock state<a class="headerlink" href="#Prepare-Hartree-Fock-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d47ee0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d7b0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -420,7 +420,7 @@ <h4>Prepare Slater determinant<a class="headerlink" href="#Prepare-Slater-determ
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6fdc0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b5007bb0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -447,7 +447,7 @@ <h4>Orbital rotation<a class="headerlink" href="#Orbital-rotation" title="Link t
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e78100&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d660&gt;
 </pre></div></div>
 </div>
 </section>
@@ -469,7 +469,7 @@ <h4>Number operator sum evolution<a class="headerlink" href="#Number-operator-su
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d66026e0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48be170&gt;
 </pre></div></div>
 </div>
 </section>
@@ -494,7 +494,7 @@ <h4>Diagonal Coulomb evolution<a class="headerlink" href="#Diagonal-Coulomb-evol
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e7a410&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b519f850&gt;
 </pre></div></div>
 </div>
 </section>
@@ -517,7 +517,7 @@ <h4>Spin-balanced unitary cluster Jastrow (UCJ) operator<a class="headerlink" hr
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6603340&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48befb0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -540,7 +540,7 @@ <h4>Spin-unbalanced unitary cluster Jastrow (UCJ) operator<a class="headerlink"
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e79180&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b531fe50&gt;
 </pre></div></div>
 </div>
 </section>
@@ -567,7 +567,7 @@ <h4>Trotter simulation of double-factorized Hamiltonian<a class="headerlink" hre
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6df30&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7ff8b50078b0&gt;
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/qiskit-circuits.ipynb b/dev/how-to-guides/qiskit-circuits.ipynb
index 6ecb445e1..b18288874 100644
--- a/dev/how-to-guides/qiskit-circuits.ipynb
+++ b/dev/how-to-guides/qiskit-circuits.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:07.678004Z",
-     "iopub.status.busy": "2024-11-02T22:10:07.677818Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.377733Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.377077Z"
+     "iopub.execute_input": "2024-11-03T03:12:37.889779Z",
+     "iopub.status.busy": "2024-11-03T03:12:37.889596Z",
+     "iopub.status.idle": "2024-11-03T03:12:38.580022Z",
+     "shell.execute_reply": "2024-11-03T03:12:38.579464Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.380399Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.379943Z",
-     "iopub.status.idle": "2024-11-02T22:10:08.950985Z",
-     "shell.execute_reply": "2024-11-02T22:10:08.950368Z"
+     "iopub.execute_input": "2024-11-03T03:12:38.582251Z",
+     "iopub.status.busy": "2024-11-03T03:12:38.581958Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.150076Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.149437Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:08.953549Z",
-     "iopub.status.busy": "2024-11-02T22:10:08.952846Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.012477Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.011861Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.152839Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.152130Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.214306Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.213700Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.014649Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.014206Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.018489Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.017849Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.216546Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.216162Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.220539Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.219965Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d47ee0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d7b0>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.020438Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.020240Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.025295Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.024703Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.222630Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.222281Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.227274Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.226695Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6fdc0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b5007bb0>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.027527Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.027034Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.031793Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.031307Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.229451Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.228955Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.233536Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.233060Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e78100>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b502d660>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.033747Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.033377Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.037418Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.036961Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.235405Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.235044Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.239111Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.238652Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d66026e0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48be170>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.039543Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.039079Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.043658Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.043057Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.241098Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.240734Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.245046Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.244474Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e7a410>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b519f850>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.045788Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.045430Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.050355Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.049767Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.246992Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.246644Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.251581Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.251112Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6603340>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b48befb0>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.052549Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.052067Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.057472Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.056994Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.253610Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.253168Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.258320Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.257748Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6e79180>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b531fe50>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:09.059366Z",
-     "iopub.status.busy": "2024-11-02T22:10:09.059031Z",
-     "iopub.status.idle": "2024-11-02T22:10:09.064840Z",
-     "shell.execute_reply": "2024-11-02T22:10:09.064331Z"
+     "iopub.execute_input": "2024-11-03T03:12:39.260485Z",
+     "iopub.status.busy": "2024-11-03T03:12:39.260126Z",
+     "iopub.status.idle": "2024-11-03T03:12:39.265208Z",
+     "shell.execute_reply": "2024-11-03T03:12:39.264754Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f52d6d6df30>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7ff8b50078b0>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/how-to-guides/qiskit-sampler.html b/dev/how-to-guides/qiskit-sampler.html
index 169200dcc..6b51db92a 100644
--- a/dev/how-to-guides/qiskit-sampler.html
+++ b/dev/how-to-guides/qiskit-sampler.html
@@ -459,7 +459,7 @@ <h3>Sampling from an LUCJ circuit for a closed-shell molecule<a class="headerlin
 converged SCF energy = -108.835236570774
 norb = 14
 nelec = (3, 3)
-E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110062
+E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110059
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
@@ -477,15 +477,15 @@ <h3>Sampling from an LUCJ circuit for a closed-shell molecule<a class="headerlin
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 {&#39;0000000000011100000000000111&#39;: 9924,
- &#39;0000000000110100000000001101&#39;: 16,
  &#39;0000000001110000000000000111&#39;: 10,
  &#39;0000000000011100000000011100&#39;: 10,
- &#39;0000000001011000000000010110&#39;: 10,
+ &#39;0000000001011000000000001101&#39;: 7,
  &#39;0001000001010000000000000111&#39;: 5,
- &#39;0000000001011000100000000110&#39;: 4,
- &#39;0100000000100100000000000111&#39;: 3,
+ &#39;0000000001011000000000010110&#39;: 5,
+ &#39;0000000000111000000000001110&#39;: 3,
+ &#39;0000000000110100000000010110&#39;: 3,
  &#39;0000000000011100100000001100&#39;: 3,
- &#39;0010000000011000000000010110&#39;: 3}
+ &#39;0000000001010100000000010101&#39;: 3}
 </pre></div></div>
 </div>
 </section>
@@ -555,13 +555,13 @@ <h3>Sampling from an LUCJ circuit for an open-shell molecule<a class="headerlink
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 SCF not converged.
-SCF energy = -75.3484557086637
+SCF energy = -75.3484557078781
 norb = 11
 nelec = (5, 4)
 
 WARN: RCCSD method does not support ROHF method. ROHF object is converted to UHF object and UCCSD method is called.
 
-E(UCCSD) = -75.45619739097027  E_corr = -0.1077416823065346
+E(UCCSD) = -75.45619739111282  E_corr = -0.1077416832347316
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
diff --git a/dev/how-to-guides/qiskit-sampler.ipynb b/dev/how-to-guides/qiskit-sampler.ipynb
index e4d5f4c53..97b6ce455 100644
--- a/dev/how-to-guides/qiskit-sampler.ipynb
+++ b/dev/how-to-guides/qiskit-sampler.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.023218Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.023032Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.726751Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.726209Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.138211Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.137758Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.822139Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.821616Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.729211Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.728796Z",
-     "iopub.status.idle": "2024-11-02T22:10:11.792461Z",
-     "shell.execute_reply": "2024-11-02T22:10:11.791845Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.824635Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.824156Z",
+     "iopub.status.idle": "2024-11-03T03:12:41.888068Z",
+     "shell.execute_reply": "2024-11-03T03:12:41.887437Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:11.794615Z",
-     "iopub.status.busy": "2024-11-02T22:10:11.794266Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.073149Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.072610Z"
+     "iopub.execute_input": "2024-11-03T03:12:41.890036Z",
+     "iopub.status.busy": "2024-11-03T03:12:41.889820Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.164116Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.163502Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110062\n"
+      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110059\n"
      ]
     },
     {
@@ -188,15 +188,15 @@
      "data": {
       "text/plain": [
        "{'0000000000011100000000000111': 9924,\n",
-       " '0000000000110100000000001101': 16,\n",
        " '0000000001110000000000000111': 10,\n",
        " '0000000000011100000000011100': 10,\n",
-       " '0000000001011000000000010110': 10,\n",
+       " '0000000001011000000000001101': 7,\n",
        " '0001000001010000000000000111': 5,\n",
-       " '0000000001011000100000000110': 4,\n",
-       " '0100000000100100000000000111': 3,\n",
+       " '0000000001011000000000010110': 5,\n",
+       " '0000000000111000000000001110': 3,\n",
+       " '0000000000110100000000010110': 3,\n",
        " '0000000000011100100000001100': 3,\n",
-       " '0010000000011000000000010110': 3}"
+       " '0000000001010100000000010101': 3}"
       ]
      },
      "execution_count": 3,
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:12.075120Z",
-     "iopub.status.busy": "2024-11-02T22:10:12.074921Z",
-     "iopub.status.idle": "2024-11-02T22:10:12.625245Z",
-     "shell.execute_reply": "2024-11-02T22:10:12.624751Z"
+     "iopub.execute_input": "2024-11-03T03:12:42.166426Z",
+     "iopub.status.busy": "2024-11-03T03:12:42.165828Z",
+     "iopub.status.idle": "2024-11-03T03:12:42.716195Z",
+     "shell.execute_reply": "2024-11-03T03:12:42.715670Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557086637\n"
+      "SCF energy = -75.3484557078781\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.45619739097027  E_corr = -0.1077416823065346\n"
+      "E(UCCSD) = -75.45619739111282  E_corr = -0.1077416832347316\n"
      ]
     },
     {
diff --git a/dev/objects.inv b/dev/objects.inv
index de75db5eb..63a64fe0d 100644
Binary files a/dev/objects.inv and b/dev/objects.inv differ
diff --git a/dev/searchindex.js b/dev/searchindex.js
index 3a698b152..598622e10 100644
--- a/dev/searchindex.js
+++ b/dev/searchindex.js
@@ -1 +1 @@
-Search.setIndex({"alltitles": {"API reference": [[7, null]], "Application to the double-factorized Hamiltonian": [[8, "Application-to-the-double-factorized-Hamiltonian"]], "Application to time evolution via Trotter-Suzuki formulas": [[8, "Application-to-time-evolution-via-Trotter-Suzuki-formulas"]], "Brief background on Trotter-Suzuki formulas": [[8, "Brief-background-on-Trotter-Suzuki-formulas"]], "Build a molecule": [[15, "Build-a-molecule"]], "Build the Hamiltonian": [[23, "Build-the-Hamiltonian"]], "Choose reference occupations": [[15, "Choose-reference-occupations"]], "Circuit transpilation": [[19, "Circuit-transpilation"]], "Citing ffsim": [[21, "citing-ffsim"]], "Code example": [[21, "code-example"]], "Compute energy": [[15, "Compute-energy"]], "Contents": [[21, "contents"]], "Criteria for circuits that FfsimSampler can sample": [[20, "Criteria-for-circuits-that-FfsimSampler-can-sample"]], "Data representation": [[9, "Data-representation"]], "Diagonal Coulomb evolution": [[13, "Diagonal-Coulomb-evolution"], [19, "Diagonal-Coulomb-evolution"]], "Double-factorized representation": [[8, "Double-factorized-representation"]], "Double-factorized representation of the molecular Hamiltonian": [[8, null]], "Example of using FfsimSampler": [[20, "Example-of-using-FfsimSampler"]], "Explanations": [[10, null]], "Gates": [[14, "Gates"]], "General UCJ ansatz": [[18, "General-UCJ-ansatz"]], "Hamiltonians": [[9, null]], "Hartree-Fock and Slater determinant preparation": [[13, "Hartree-Fock-and-Slater-determinant-preparation"]], "How to build and transpile Qiskit quantum circuits": [[19, null]], "How to simulate entanglement forging": [[15, null]], "How to simulate the local unitary cluster Jastrow (LUCJ) ansatz": [[18, null]], "How to use ffsim\u2019s Qiskit Sampler primitive": [[20, null]], "How to use the FermionOperator class": [[16, null]], "How-to guides": [[17, null]], "Implement Trotter simulation": [[23, "Implement-Trotter-simulation"]], "Implementing Trotter simulation of the double-factorized Hamiltonian": [[23, null]], "Initialize ansatz operator": [[15, "Initialize-ansatz-operator"]], "Install from source": [[22, "install-from-source"]], "Installation": [[21, "installation"], [22, null]], "LUCJ ansatz": [[18, "LUCJ-ansatz"]], "Locality in the UCJ operator": [[13, "Locality-in-the-UCJ-operator"]], "Merging orbital rotations": [[13, "Merging-orbital-rotations"]], "More examples": [[20, "More-examples"]], "Number operator sum evolution": [[13, "Number-operator-sum-evolution"], [19, "Number-operator-sum-evolution"]], "Operator action via SciPy LinearOperators": [[9, "Operator-action-via-SciPy-LinearOperators"]], "Optimize energy": [[15, "Optimize-energy"]], "Optimize with the linear method": [[18, "Optimize-with-the-linear-method"]], "Orbital rotation": [[13, "Orbital-rotation"], [19, "Orbital-rotation"]], "Orbital rotations": [[12, "Orbital-rotations"]], "Orbital rotations and quadratic Hamiltonians": [[12, null]], "Overview of gates": [[19, "Overview-of-gates"]], "Pip install": [[22, "pip-install"]], "Prepare Hartree-Fock state": [[19, "Prepare-Hartree-Fock-state"]], "Prepare Slater determinant": [[19, "Prepare-Slater-determinant"]], "Qubit gate decompositions of fermionic gates": [[13, null]], "Sampling from an LUCJ circuit for a closed-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-a-closed-shell-molecule"]], "Sampling from an LUCJ circuit for an open-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-an-open-shell-molecule"]], "Spin-balanced and spin-unbalanced ansatzes": [[11, "Spin-balanced-and-spin-unbalanced-ansatzes"]], "Spin-balanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-balanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "Spin-unbalanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-unbalanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "State preparation gates": [[19, "State-preparation-gates"]], "State vectors": [[14, "State-vectors"]], "State vectors and gates": [[14, null]], "The general unitary cluster Jastrow (UCJ) ansatz": [[11, "The-general-unitary-cluster-Jastrow-(UCJ)-ansatz"]], "The local UCJ (LUCJ) ansatz": [[11, "The-local-UCJ-(LUCJ)-ansatz"]], "The local unitary cluster Jastrow (LUCJ) ansatz": [[11, null]], "Time evolution by a quadratic Hamiltonian": [[12, "Time-evolution-by-a-quadratic-Hamiltonian"]], "Treating spinless fermions": [[14, "Treating-spinless-fermions"]], "Trotter simulation of double-factorized Hamiltonian": [[13, "Trotter-simulation-of-double-factorized-Hamiltonian"], [19, "Trotter-simulation-of-double-factorized-Hamiltonian"]], "Tutorials": [[24, null]], "Unitary cluster Jastrow (UCJ) operator": [[13, "Unitary-cluster-Jastrow-(UCJ)-operator"]], "Unitary transformation gates": [[19, "Unitary-transformation-gates"]], "Use within Docker": [[22, "use-within-docker"]], "ffsim": [[0, null], [21, null]], "ffsim.contract": [[1, null]], "ffsim.linalg": [[2, null]], "ffsim.optimize": [[3, null]], "ffsim.qiskit": [[4, null]], "ffsim.random": [[5, null]], "ffsim.testing": [[6, null]]}, "docnames": ["api/ffsim", "api/ffsim.contract", "api/ffsim.linalg", "api/ffsim.optimize", "api/ffsim.qiskit", "api/ffsim.random", "api/ffsim.testing", "api/index", "explanations/double-factorized", "explanations/hamiltonians", "explanations/index", "explanations/lucj", "explanations/orbital-rotation", "explanations/qiskit-gate-decompositions", "explanations/state-vectors-and-gates", "how-to-guides/entanglement-forging", "how-to-guides/fermion-operator", "how-to-guides/index", "how-to-guides/lucj", "how-to-guides/qiskit-circuits", "how-to-guides/qiskit-sampler", "index", "install", "tutorials/double-factorized-trotter", "tutorials/index"], "envversion": {"nbsphinx": 4, "sphinx": 64, "sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.viewcode": 1}, "filenames": ["api/ffsim.rst", "api/ffsim.contract.rst", "api/ffsim.linalg.rst", "api/ffsim.optimize.rst", "api/ffsim.qiskit.rst", "api/ffsim.random.rst", "api/ffsim.testing.rst", "api/index.md", "explanations/double-factorized.ipynb", "explanations/hamiltonians.ipynb", "explanations/index.md", "explanations/lucj.ipynb", "explanations/orbital-rotation.ipynb", "explanations/qiskit-gate-decompositions.ipynb", "explanations/state-vectors-and-gates.ipynb", "how-to-guides/entanglement-forging.ipynb", "how-to-guides/fermion-operator.ipynb", "how-to-guides/index.md", "how-to-guides/lucj.ipynb", "how-to-guides/qiskit-circuits.ipynb", "how-to-guides/qiskit-sampler.ipynb", "index.md", "install.md", "tutorials/double-factorized-trotter.ipynb", "tutorials/index.md"], "indexentries": {"__init__() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.__init__", false]], "__init__() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.__init__", false]], "__init__() (ffsim.qiskit.givensansatzopjw method)": [[4, "ffsim.qiskit.GivensAnsatzOpJW.__init__", false]], "__init__() (ffsim.qiskit.givensansatzopspinlessjw method)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.numnumansatzopspinbalancedjw method)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockspinlessjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantspinlessjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdiagcoulombsplitopjw method)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdoublefactorizedjw method)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinlessjw method)": [[4, "ffsim.qiskit.UCJOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinunbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinUnbalancedJW.__init__", false]], "action (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.action", false]], "active_space (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.active_space", false]], "addresses_to_strings() (in module ffsim)": [[0, "ffsim.addresses_to_strings", false]], "alpha (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA", false]], "alpha_and_beta (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA_AND_BETA", false]], "apply_diag_coulomb_evolution() (in module ffsim)": [[0, "ffsim.apply_diag_coulomb_evolution", false]], "apply_fsim_gate() (in module ffsim)": [[0, "ffsim.apply_fsim_gate", false]], "apply_fswap_gate() (in module ffsim)": [[0, "ffsim.apply_fswap_gate", false]], "apply_givens_rotation() (in module ffsim)": [[0, "ffsim.apply_givens_rotation", false]], "apply_hop_gate() (in module ffsim)": [[0, "ffsim.apply_hop_gate", false]], "apply_matrix_to_slices() (in module ffsim.linalg)": [[2, "ffsim.linalg.apply_matrix_to_slices", false]], "apply_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_interaction", false]], "apply_num_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_num_interaction", false]], "apply_num_op_prod_interaction() (in module ffsim)": [[0, "ffsim.apply_num_op_prod_interaction", false]], "apply_num_op_sum_evolution() (in module ffsim)": [[0, "ffsim.apply_num_op_sum_evolution", false]], "apply_on_site_interaction() (in module ffsim)": [[0, "ffsim.apply_on_site_interaction", false]], "apply_orbital_rotation() (in module ffsim)": [[0, "ffsim.apply_orbital_rotation", false]], "apply_tunneling_interaction() (in module ffsim)": [[0, "ffsim.apply_tunneling_interaction", false]], 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false]], "contract_diag_coulomb() (in module ffsim.contract)": [[1, "ffsim.contract.contract_diag_coulomb", false]], "contract_num_op_sum() (in module ffsim.contract)": [[1, "ffsim.contract.contract_num_op_sum", false]], "contract_one_body() (in module ffsim.contract)": [[1, "ffsim.contract.contract_one_body", false]], "core_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.core_energy", false]], "cre() (in module ffsim)": [[0, "ffsim.cre", false]], "cre_a() (in module ffsim)": [[0, "ffsim.cre_a", false]], "cre_b() (in module ffsim)": [[0, "ffsim.cre_b", false]], "des() (in module ffsim)": [[0, "ffsim.des", false]], "des_a() (in module ffsim)": [[0, "ffsim.des_a", false]], "des_b() (in module ffsim)": [[0, "ffsim.des_b", false]], "diag() (in module ffsim)": [[0, "ffsim.diag", false]], "diag_coulomb_linop() (in module ffsim.contract)": [[1, "ffsim.contract.diag_coulomb_linop", false]], "diag_coulomb_mats (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.diag_coulomb_mats", false]], "diagcoulombevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW", false]], "diagcoulombevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW", false]], "diagonalcoulombhamiltonian (class in ffsim)": [[0, "ffsim.DiagonalCoulombHamiltonian", false]], "dim() (in module ffsim)": [[0, "ffsim.dim", false]], "dims() (in module ffsim)": [[0, "ffsim.dims", false]], "dipole_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.dipole_integrals", false]], "double_factorized() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized", false]], "double_factorized_t2() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2", false]], "double_factorized_t2_alpha_beta() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2_alpha_beta", false]], "doublefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.DoubleFactorizedHamiltonian", false]], "dropnegligible (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DropNegligible", false]], "expectation_one_body_power() (in module ffsim)": [[0, "ffsim.expectation_one_body_power", false]], "expectation_one_body_product() (in module ffsim)": [[0, "ffsim.expectation_one_body_product", false]], "expectation_product_state() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.expectation_product_state", false]], "expm_multiply_taylor() (in module ffsim.linalg)": [[2, "ffsim.linalg.expm_multiply_taylor", false]], "fci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_energy", false]], "fci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_vec", false]], "fermi_hubbard_1d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_1d", false]], "fermi_hubbard_2d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_2d", false]], "fermion_operator() (in module ffsim)": [[0, "ffsim.fermion_operator", false]], "fermionaction (class in ffsim)": [[0, "ffsim.FermionAction", false]], "fermionoperator (class in ffsim)": [[0, "ffsim.FermionOperator", false]], "ffsim": [[0, "module-ffsim", false]], "ffsim.contract": [[1, "module-ffsim.contract", false]], "ffsim.linalg": [[2, "module-ffsim.linalg", false]], "ffsim.optimize": [[3, "module-ffsim.optimize", false]], "ffsim.qiskit": [[4, "module-ffsim.qiskit", false]], "ffsim.random": [[5, "module-ffsim.random", false]], "ffsim.testing": [[6, "module-ffsim.testing", false]], "ffsim_vec_to_qiskit_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.ffsim_vec_to_qiskit_vec", false]], "ffsimsampler (class in ffsim.qiskit)": [[4, "ffsim.qiskit.FfsimSampler", false]], "final_orbital_rotation (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.final_orbital_rotation", false]], "final_state_vector() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.final_state_vector", false]], "from_diag_coulomb_mats() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_diag_coulomb_mats", false]], "from_fcidump() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_fcidump", false]], "from_fermion_operator() (ffsim.diagonalcoulombhamiltonian static method)": [[0, "ffsim.DiagonalCoulombHamiltonian.from_fermion_operator", false]], "from_json() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_json", false]], "from_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian static method)": [[0, "ffsim.DoubleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_molecular_hamiltonian() (ffsim.singlefactorizedhamiltonian static method)": [[0, "ffsim.SingleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_orbital_rotation() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_orbital_rotation", false]], "from_parameters() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_parameters", false]], "from_parameters() (ffsim.hopgateansatzoperator static method)": [[0, "ffsim.HopGateAnsatzOperator.from_parameters", false]], "from_parameters() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.from_parameters", false]], "from_parameters() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_parameters", false]], "from_parameters() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_parameters", false]], "from_scf() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_scf", false]], "from_t_amplitudes() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_t_amplitudes", false]], "generate_norb_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec", false]], "generate_norb_nelec_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec_spin", false]], "generate_norb_nocc() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nocc", false]], "generate_norb_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_spin", false]], "givens_decomposition() (in module ffsim.linalg)": [[2, "ffsim.linalg.givens_decomposition", false]], "givensansatzop (class in ffsim)": [[0, "ffsim.GivensAnsatzOp", false]], "givensansatzopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpJW", false]], "givensansatzopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW", false]], "givensrotation (class in ffsim.linalg)": [[2, "ffsim.linalg.GivensRotation", false]], "hamiltonian (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.hamiltonian", false]], "hartree_fock_state() (in module ffsim)": [[0, "ffsim.hartree_fock_state", false]], "hf_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_energy", false]], "hf_mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_coeff", false]], "hf_mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_occ", false]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator", false]], "i (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.i", false]], "init_cache() (in module ffsim)": [[0, "ffsim.init_cache", false]], "int (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.INT", false]], "interaction_pairs (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.interaction_pairs", false]], "interaction_pairs (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.interaction_pairs", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.inverse", false]], "is_antihermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_antihermitian", false]], "is_hermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_hermitian", false]], "is_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_orthogonal", false]], "is_real_symmetric() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_real_symmetric", false]], "is_special_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_special_orthogonal", false]], "is_unitary() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_unitary", false]], "j (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.j", false]], "jordan_wigner() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.jordan_wigner", false]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator", false]], "lup() (in module ffsim.linalg)": [[2, "ffsim.linalg.lup", false]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order", false]], "match_global_phase() (in module ffsim.linalg)": [[2, "ffsim.linalg.match_global_phase", false]], "mergeorbitalrotations (class in ffsim.qiskit)": [[4, "ffsim.qiskit.MergeOrbitalRotations", false]], "minimize_linear_method() (in module ffsim.optimize)": [[3, "ffsim.optimize.minimize_linear_method", false]], "mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_coeff", false]], "mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_occ", false]], "modified_cholesky() (in module ffsim.linalg)": [[2, "ffsim.linalg.modified_cholesky", false]], "module": [[0, "module-ffsim", false], [1, "module-ffsim.contract", false], [2, "module-ffsim.linalg", false], [3, "module-ffsim.optimize", false], [4, "module-ffsim.qiskit", false], [5, "module-ffsim.random", false], [6, "module-ffsim.testing", false]], "mole (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.mole", false]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData", false]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian", false]], "mp2_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_energy", false]], "mp2_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_t2", false]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state", false]], "multireference_state_prod() (in module ffsim)": [[0, "ffsim.multireference_state_prod", false]], "n_params() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.n_params", false]], "n_params() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.n_params", false]], "n_params() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.n_params", false]], "n_params() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.n_params", false]], "n_params() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.n_params", false]], "n_params() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.n_params", false]], "n_reps (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.n_reps", false]], "n_reps (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.n_reps", false]], "n_reps (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.n_reps", false]], "nelec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.nelec", false]], "nelec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.nelec", false]], "norb (ffsim.diagonalcoulombhamiltonian property)": [[0, "ffsim.DiagonalCoulombHamiltonian.norb", false]], "norb (ffsim.doublefactorizedhamiltonian property)": [[0, "ffsim.DoubleFactorizedHamiltonian.norb", false]], "norb (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.norb", false]], "norb (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.norb", false]], "norb (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.norb", false]], "norb (ffsim.molecularhamiltonian property)": [[0, "ffsim.MolecularHamiltonian.norb", false]], "norb (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.norb", false]], "norb (ffsim.singlefactorizedhamiltonian property)": [[0, "ffsim.SingleFactorizedHamiltonian.norb", false]], "norb (ffsim.statevector attribute)": [[0, "ffsim.StateVector.norb", false]], "norb (ffsim.uccsdoprestrictedreal property)": [[0, "ffsim.UCCSDOpRestrictedReal.norb", false]], "norb (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.norb", false]], "norb (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.norb", false]], "norb (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.norb", false]], "normal_ordered() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.normal_ordered", false]], "num_op_sum_linop() (in module ffsim.contract)": [[1, "ffsim.contract.num_op_sum_linop", false]], "number_operator() (in module ffsim)": [[0, "ffsim.number_operator", false]], "numnumansatzopspinbalanced (class in ffsim)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced", false]], "numnumansatzopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW", false]], "numopsumevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW", false]], "numopsumevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW", false]], "one_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.one_body_integrals", false]], "one_body_linop() (in module ffsim.contract)": [[1, "ffsim.contract.one_body_linop", false]], "one_body_squares (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_squares", false]], "one_body_tensor (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_tensor", false]], "one_hot() (in module ffsim.linalg)": [[2, "ffsim.linalg.one_hot", false]], "orb (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.orb", false]], "orbital_rotations (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.orbital_rotations", false]], "orbital_symmetries (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.orbital_symmetries", false]], "orbitalrotationjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationJW", false]], "orbitalrotationspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW", false]], "phase_angles (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phase_angles", false]], "phis (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phis", false]], "pre_init (in module ffsim.qiskit)": [[4, "ffsim.qiskit.PRE_INIT", false]], "pre_init_passes() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.pre_init_passes", false]], "preparehartreefockjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockJW", false]], "preparehartreefockspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW", false]], "prepareslaterdeterminantjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW", false]], "prepareslaterdeterminantspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW", false]], "productstatesum (class in ffsim)": [[0, "ffsim.ProductStateSum", false]], "qiskit_vec_to_ffsim_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.qiskit_vec_to_ffsim_vec", false]], "random_antihermitian() (in module ffsim.random)": [[5, "ffsim.random.random_antihermitian", false]], "random_diagonal_coulomb_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_diagonal_coulomb_hamiltonian", false]], "random_double_factorized_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_double_factorized_hamiltonian", false]], "random_fermion_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_hamiltonian", false]], "random_fermion_operator() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_operator", false]], "random_hermitian() (in module ffsim.random)": [[5, "ffsim.random.random_hermitian", false]], "random_molecular_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_molecular_hamiltonian", false]], "random_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.random_nelec", false]], "random_occupied_orbitals() (in module ffsim.testing)": [[6, "ffsim.testing.random_occupied_orbitals", false]], "random_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_orthogonal", false]], "random_real_symmetric_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_real_symmetric_matrix", false]], "random_special_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_special_orthogonal", false]], "random_state_vector() (in module ffsim.random)": [[5, "ffsim.random.random_state_vector", false]], "random_t2_amplitudes() (in module ffsim.random)": [[5, "ffsim.random.random_t2_amplitudes", false]], "random_two_body_tensor() (in module ffsim.random)": [[5, "ffsim.random.random_two_body_tensor", false]], "random_uccsd_restricted() (in module ffsim.random)": [[5, "ffsim.random.random_uccsd_restricted", false]], "random_ucj_op_spin_balanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_balanced", false]], "random_ucj_op_spin_unbalanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_unbalanced", false]], "random_ucj_op_spinless() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spinless", false]], "random_unitary() (in module ffsim.random)": [[5, "ffsim.random.random_unitary", false]], "rdms() (in module ffsim)": [[0, "ffsim.rdms", false]], "reduced_matrix() (in module ffsim.linalg)": [[2, "ffsim.linalg.reduced_matrix", false]], "reduced_matrix_product_states() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.reduced_matrix_product_states", false]], "rotated() (ffsim.molecularhamiltonian method)": [[0, "ffsim.MolecularHamiltonian.rotated", false]], "run() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.run", false]], "run() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.run", false]], "run() (ffsim.qiskit.mergeorbitalrotations method)": [[4, "ffsim.qiskit.MergeOrbitalRotations.run", false]], "run_ccsd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_ccsd", false]], "run_cisd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_cisd", false]], "run_fci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_fci", false]], "run_mp2() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_mp2", false]], "run_sci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_sci", false]], "s (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.s", false]], "sample_slater_determinant() (in module ffsim)": [[0, "ffsim.sample_slater_determinant", false]], "sample_state_vector() (in module ffsim)": [[0, "ffsim.sample_state_vector", false]], "scf (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.scf", false]], "sci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_energy", false]], "sci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_vec", false]], "simulate_qdrift_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_qdrift_double_factorized", false]], "simulate_trotter_diag_coulomb_split_op() (in module ffsim)": [[0, "ffsim.simulate_trotter_diag_coulomb_split_op", false]], "simulate_trotter_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_trotter_double_factorized", false]], "simulatetrotterdiagcoulombsplitopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW", false]], "simulatetrotterdoublefactorizedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW", false]], "singlefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.SingleFactorizedHamiltonian", false]], "slater_determinant() (in module ffsim)": [[0, "ffsim.slater_determinant", false]], "slater_determinant_amplitudes() (in module ffsim)": [[0, "ffsim.slater_determinant_amplitudes", false]], 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\ No newline at end of file
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"from_parameters() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.from_parameters", false]], "from_parameters() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_parameters", false]], "from_parameters() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_parameters", false]], "from_scf() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_scf", false]], "from_t_amplitudes() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_t_amplitudes", false]], "generate_norb_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec", false]], "generate_norb_nelec_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec_spin", false]], "generate_norb_nocc() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nocc", false]], "generate_norb_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_spin", false]], "givens_decomposition() (in module ffsim.linalg)": [[2, "ffsim.linalg.givens_decomposition", false]], "givensansatzop (class in ffsim)": [[0, "ffsim.GivensAnsatzOp", false]], "givensansatzopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpJW", false]], "givensansatzopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW", false]], "givensrotation (class in ffsim.linalg)": [[2, "ffsim.linalg.GivensRotation", false]], "hamiltonian (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.hamiltonian", false]], "hartree_fock_state() (in module ffsim)": [[0, "ffsim.hartree_fock_state", false]], "hf_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_energy", false]], "hf_mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_coeff", false]], "hf_mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_occ", false]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator", false]], "i (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.i", false]], "init_cache() (in module ffsim)": [[0, "ffsim.init_cache", false]], "int (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.INT", false]], "interaction_pairs (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.interaction_pairs", false]], "interaction_pairs (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.interaction_pairs", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.inverse", false]], "is_antihermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_antihermitian", false]], "is_hermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_hermitian", false]], "is_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_orthogonal", false]], "is_real_symmetric() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_real_symmetric", false]], "is_special_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_special_orthogonal", false]], "is_unitary() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_unitary", false]], "j (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.j", false]], "jordan_wigner() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.jordan_wigner", false]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator", false]], "lup() (in module ffsim.linalg)": [[2, "ffsim.linalg.lup", false]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order", false]], "match_global_phase() (in module ffsim.linalg)": [[2, "ffsim.linalg.match_global_phase", false]], "mergeorbitalrotations (class in ffsim.qiskit)": [[4, "ffsim.qiskit.MergeOrbitalRotations", false]], "minimize_linear_method() (in module ffsim.optimize)": [[3, "ffsim.optimize.minimize_linear_method", false]], "mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_coeff", false]], "mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_occ", false]], "modified_cholesky() (in module ffsim.linalg)": [[2, "ffsim.linalg.modified_cholesky", false]], "module": [[0, "module-ffsim", false], [1, "module-ffsim.contract", false], [2, "module-ffsim.linalg", false], [3, "module-ffsim.optimize", false], [4, "module-ffsim.qiskit", false], [5, "module-ffsim.random", false], [6, "module-ffsim.testing", false]], "mole (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.mole", false]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData", false]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian", false]], "mp2_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_energy", false]], "mp2_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_t2", false]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state", false]], "multireference_state_prod() (in module ffsim)": [[0, "ffsim.multireference_state_prod", false]], "n_params() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.n_params", false]], "n_params() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.n_params", false]], "n_params() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.n_params", false]], "n_params() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.n_params", false]], "n_params() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.n_params", false]], "n_params() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.n_params", false]], "n_reps (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.n_reps", false]], "n_reps (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.n_reps", false]], "n_reps (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.n_reps", false]], "nelec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.nelec", false]], "nelec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.nelec", false]], "norb (ffsim.diagonalcoulombhamiltonian property)": [[0, "ffsim.DiagonalCoulombHamiltonian.norb", false]], "norb (ffsim.doublefactorizedhamiltonian property)": [[0, "ffsim.DoubleFactorizedHamiltonian.norb", false]], "norb (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.norb", false]], "norb (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.norb", false]], "norb (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.norb", false]], "norb (ffsim.molecularhamiltonian property)": [[0, "ffsim.MolecularHamiltonian.norb", false]], "norb (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.norb", false]], "norb (ffsim.singlefactorizedhamiltonian property)": [[0, "ffsim.SingleFactorizedHamiltonian.norb", false]], "norb (ffsim.statevector attribute)": [[0, "ffsim.StateVector.norb", false]], "norb (ffsim.uccsdoprestrictedreal property)": [[0, "ffsim.UCCSDOpRestrictedReal.norb", false]], "norb (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.norb", false]], "norb (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.norb", false]], "norb (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.norb", false]], "normal_ordered() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.normal_ordered", false]], "num_op_sum_linop() (in module ffsim.contract)": [[1, "ffsim.contract.num_op_sum_linop", false]], "number_operator() (in module ffsim)": [[0, "ffsim.number_operator", false]], "numnumansatzopspinbalanced (class in ffsim)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced", false]], "numnumansatzopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW", false]], "numopsumevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW", false]], "numopsumevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW", false]], "one_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.one_body_integrals", false]], "one_body_linop() (in module ffsim.contract)": [[1, "ffsim.contract.one_body_linop", false]], "one_body_squares (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_squares", false]], "one_body_tensor (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_tensor", false]], "one_hot() (in module ffsim.linalg)": [[2, "ffsim.linalg.one_hot", false]], "orb (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.orb", false]], "orbital_rotations (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.orbital_rotations", false]], "orbital_symmetries (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.orbital_symmetries", false]], "orbitalrotationjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationJW", false]], "orbitalrotationspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW", false]], "phase_angles (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phase_angles", false]], "phis (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phis", false]], "pre_init (in module ffsim.qiskit)": [[4, "ffsim.qiskit.PRE_INIT", false]], "pre_init_passes() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.pre_init_passes", false]], "preparehartreefockjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockJW", false]], "preparehartreefockspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW", false]], "prepareslaterdeterminantjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW", false]], "prepareslaterdeterminantspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW", false]], "productstatesum (class in ffsim)": [[0, "ffsim.ProductStateSum", false]], "qiskit_vec_to_ffsim_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.qiskit_vec_to_ffsim_vec", false]], "random_antihermitian() (in module ffsim.random)": [[5, "ffsim.random.random_antihermitian", false]], "random_density_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_density_matrix", false]], "random_diagonal_coulomb_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_diagonal_coulomb_hamiltonian", false]], "random_double_factorized_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_double_factorized_hamiltonian", false]], "random_fermion_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_hamiltonian", false]], "random_fermion_operator() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_operator", false]], "random_hermitian() (in module ffsim.random)": [[5, "ffsim.random.random_hermitian", false]], "random_molecular_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_molecular_hamiltonian", false]], "random_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.random_nelec", false]], "random_occupied_orbitals() (in module ffsim.testing)": [[6, "ffsim.testing.random_occupied_orbitals", false]], "random_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_orthogonal", false]], "random_real_symmetric_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_real_symmetric_matrix", false]], "random_special_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_special_orthogonal", false]], "random_state_vector() (in module ffsim.random)": [[5, "ffsim.random.random_state_vector", false]], "random_t2_amplitudes() (in module ffsim.random)": [[5, "ffsim.random.random_t2_amplitudes", false]], "random_two_body_tensor() (in module ffsim.random)": [[5, "ffsim.random.random_two_body_tensor", false]], "random_uccsd_restricted() (in module ffsim.random)": [[5, "ffsim.random.random_uccsd_restricted", false]], "random_ucj_op_spin_balanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_balanced", false]], "random_ucj_op_spin_unbalanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_unbalanced", false]], "random_ucj_op_spinless() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spinless", false]], "random_unitary() (in module ffsim.random)": [[5, "ffsim.random.random_unitary", false]], "rdms() (in module ffsim)": [[0, "ffsim.rdms", false]], "reduced_matrix() (in module ffsim.linalg)": [[2, "ffsim.linalg.reduced_matrix", false]], "reduced_matrix_product_states() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.reduced_matrix_product_states", false]], "rotated() (ffsim.molecularhamiltonian method)": [[0, "ffsim.MolecularHamiltonian.rotated", false]], "run() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.run", false]], "run() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.run", false]], "run() (ffsim.qiskit.mergeorbitalrotations method)": [[4, "ffsim.qiskit.MergeOrbitalRotations.run", false]], "run_ccsd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_ccsd", false]], "run_cisd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_cisd", false]], "run_fci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_fci", false]], "run_mp2() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_mp2", false]], "run_sci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_sci", false]], "s (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.s", false]], "sample_slater_determinant() (in module ffsim)": [[0, "ffsim.sample_slater_determinant", false]], "sample_state_vector() (in module ffsim)": [[0, "ffsim.sample_state_vector", false]], "scf (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.scf", false]], "sci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_energy", false]], "sci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_vec", false]], "simulate_qdrift_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_qdrift_double_factorized", false]], "simulate_trotter_diag_coulomb_split_op() (in module ffsim)": [[0, "ffsim.simulate_trotter_diag_coulomb_split_op", false]], "simulate_trotter_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_trotter_double_factorized", false]], "simulatetrotterdiagcoulombsplitopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW", false]], "simulatetrotterdoublefactorizedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW", false]], "singlefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.SingleFactorizedHamiltonian", false]], "slater_determinant() (in module ffsim)": [[0, "ffsim.slater_determinant", false]], "slater_determinant_amplitudes() (in module ffsim)": [[0, "ffsim.slater_determinant_amplitudes", false]], "slater_determinant_rdms() (in module ffsim)": [[0, "ffsim.slater_determinant_rdms", false]], "spin (class in ffsim)": [[0, "ffsim.Spin", false]], "spin (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.spin", false]], "spin (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.spin", false]], "spin_square() (in module ffsim)": [[0, "ffsim.spin_square", false]], "states (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.states", false]], "statevector (class in ffsim)": [[0, "ffsim.StateVector", false]], "string (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.STRING", false]], "strings_to_addresses() (in module ffsim)": [[0, "ffsim.strings_to_addresses", false]], "supportsapplyunitary (class in ffsim)": [[0, "ffsim.SupportsApplyUnitary", false]], "supportsapproximateequality (class in ffsim)": [[0, "ffsim.SupportsApproximateEquality", 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diff --git a/dev/tutorials/double-factorized-trotter.html b/dev/tutorials/double-factorized-trotter.html
index 3a840ca40..25a4df131 100644
--- a/dev/tutorials/double-factorized-trotter.html
+++ b/dev/tutorials/double-factorized-trotter.html
@@ -455,7 +455,7 @@ <h2>Build the Hamiltonian<a class="headerlink" href="#Build-the-Hamiltonian" tit
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Maximum error in a tensor entry: 0.036685417309836654
+Maximum error in a tensor entry: 0.03668541730983488
 </pre></div></div>
 </div>
 </section>
@@ -596,7 +596,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.940243538754112
+Fidelity of Trotter-evolved state with exact state: 0.9402435115134801
 </pre></div></div>
 </div>
 <p>The fidelity of the final result can be improved by increasing the number of Trotter steps.</p>
@@ -623,7 +623,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9985212861539957
+Fidelity of Trotter-evolved state with exact state: 0.9985212854198805
 </pre></div></div>
 </div>
 <p>In the code cell below, we reproduce the results of our manually implemented function using ffsim’s built-in implementation.</p>
@@ -651,7 +651,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9985212861539393
+Fidelity of Trotter-evolved state with exact state: 0.9985212854198383
 </pre></div></div>
 </div>
 <p>A higher order formula achieves a higher fidelity with fewer Trotter steps:</p>
@@ -679,7 +679,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9996731164192681
+Fidelity of Trotter-evolved state with exact state: 0.9996731164187923
 </pre></div></div>
 </div>
 <p>You’ve made it to the end of this tutorial!</p>
diff --git a/dev/tutorials/double-factorized-trotter.ipynb b/dev/tutorials/double-factorized-trotter.ipynb
index 636d05070..67fab4d38 100644
--- a/dev/tutorials/double-factorized-trotter.ipynb
+++ b/dev/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
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-     "iopub.execute_input": "2024-11-02T22:10:14.381182Z",
-     "iopub.status.busy": "2024-11-02T22:10:14.380997Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.137804Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.137200Z"
+     "iopub.execute_input": "2024-11-03T03:12:44.267379Z",
+     "iopub.status.busy": "2024-11-03T03:12:44.267196Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.023340Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.022753Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.141695Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.140522Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.145296Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.144828Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.027049Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.025926Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.030664Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.030224Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.147362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.147044Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.151602Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.151030Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.032787Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.032369Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.037126Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.036677Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.153661Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.153315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.157122Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.156662Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.039118Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.038771Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.042961Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.042384Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.159022Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.158702Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.162593Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.161960Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.045031Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.044679Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.048132Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.047640Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.164656Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.164315Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.182933Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.182341Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.050095Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.049748Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.068578Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.068091Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.036685417309836654\n"
+      "Maximum error in a tensor entry: 0.03668541730983488\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.184960Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.184491Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.188871Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.188284Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.070623Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.070269Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.074468Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.074013Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.191079Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.190624Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.194332Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.193718Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.076384Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.076038Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.079535Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.079045Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.196201Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.195900Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.294202Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.293548Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.081597Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.081249Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.179224Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.178629Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.297362Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.296578Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.346001Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.345517Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.182273Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.181487Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.234243Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.233745Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.940243538754112\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402435115134801\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.347846Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.347659Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.576635Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.576128Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.252904Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.252557Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.465435Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.464922Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539957\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198805\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.578705Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.578355Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.721380Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.720805Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.467506Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.467310Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.595746Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.595252Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212861539393\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854198383\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-11-02T22:10:15.723511Z",
-     "iopub.status.busy": "2024-11-02T22:10:15.723079Z",
-     "iopub.status.idle": "2024-11-02T22:10:15.827746Z",
-     "shell.execute_reply": "2024-11-02T22:10:15.827238Z"
+     "iopub.execute_input": "2024-11-03T03:12:45.597844Z",
+     "iopub.status.busy": "2024-11-03T03:12:45.597491Z",
+     "iopub.status.idle": "2024-11-03T03:12:45.705201Z",
+     "shell.execute_reply": "2024-11-03T03:12:45.704572Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731164192681\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731164187923\n"
      ]
     }
    ],