diff --git a/dev/.buildinfo b/dev/.buildinfo
index 229036896..77e44b3c5 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: d2b66d7f5e0fbf1d48589b95885ca240
+config: d61c402cfb341a03d13159edf317180c
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/dev/.doctrees/environment.pickle b/dev/.doctrees/environment.pickle
index d2da55780..c05da30ad 100644
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diff --git a/dev/.doctrees/explanations/hamiltonians.doctree b/dev/.doctrees/explanations/hamiltonians.doctree
index b7b1cd741..60cee43b0 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 3c433f56b..f4aa7050e 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 d19ebbe1e..d7313ce8b 100644
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diff --git a/dev/.doctrees/how-to-guides/lucj.doctree b/dev/.doctrees/how-to-guides/lucj.doctree
index 868980fac..c983eb34d 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 2906b86da..67e232f8c 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 3d00b4df1..92b8f64d0 100644
Binary files a/dev/.doctrees/how-to-guides/qiskit-sampler.doctree and b/dev/.doctrees/how-to-guides/qiskit-sampler.doctree differ
diff --git a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
index bb2c53292..542d6136e 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": "2024-12-05T03:21:22.212599Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.212405Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.936360Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.935726Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.170333Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.169891Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.899239Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.898651Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.938787Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.938491Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.941593Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.941110Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.901846Z",
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+     "shell.execute_reply": "2024-12-05T04:46:56.903774Z"
     }
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    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.943786Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.943290Z",
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-     "shell.execute_reply": "2024-12-05T03:21:22.946108Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.906329Z",
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+     "shell.execute_reply": "2024-12-05T04:46:56.908507Z"
     }
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    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:21:22.948362Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.948174Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.952632Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.952065Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.910865Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.910504Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.915405Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.914846Z"
     }
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    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.954753Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.954540Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.979586Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.979023Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.918616Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.917818Z",
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+     "shell.execute_reply": "2024-12-05T04:46:56.945953Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.55717072551569)"
+       "np.float64(-99.55717072551553)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:23.014517Z",
-     "iopub.status.busy": "2024-12-05T03:21:23.013952Z",
-     "iopub.status.idle": "2024-12-05T03:21:23.722545Z",
-     "shell.execute_reply": "2024-12-05T03:21:23.721915Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.980235Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.979782Z",
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+     "shell.execute_reply": "2024-12-05T04:46:57.696466Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4129/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4154/2190712273.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": "2024-12-05T03:21:23.725922Z",
-     "iopub.status.busy": "2024-12-05T03:21:23.725125Z",
-     "iopub.status.idle": "2024-12-05T03:21:24.323558Z",
-     "shell.execute_reply": "2024-12-05T03:21:24.322918Z"
+     "iopub.execute_input": "2024-12-05T04:46:57.700023Z",
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+     "shell.execute_reply": "2024-12-05T04:46:58.310879Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
index 1226b7570..541ea77b8 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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-     "iopub.execute_input": "2024-12-05T03:21:27.401921Z",
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-     "shell.execute_reply": "2024-12-05T03:21:28.119137Z"
+     "iopub.execute_input": "2024-12-05T04:47:04.503741Z",
+     "iopub.status.busy": "2024-12-05T04:47:04.503545Z",
+     "iopub.status.idle": "2024-12-05T04:47:05.238122Z",
+     "shell.execute_reply": "2024-12-05T04:47:05.237523Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
index 62f857fbb..37ec63cee 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": "2024-12-05T03:21:29.543343Z",
-     "iopub.status.busy": "2024-12-05T03:21:29.542995Z",
-     "iopub.status.idle": "2024-12-05T03:21:31.111710Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.111147Z"
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+     "shell.execute_reply": "2024-12-05T04:47:10.927878Z"
     }
    },
    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:31.113976Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.113487Z",
-     "iopub.status.idle": "2024-12-05T03:21:31.316959Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.316364Z"
+     "iopub.execute_input": "2024-12-05T04:47:10.931010Z",
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+     "shell.execute_reply": "2024-12-05T04:47:11.143226Z"
     }
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    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:31.319255Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.318854Z",
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-     "shell.execute_reply": "2024-12-05T03:21:31.425800Z"
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    "outputs": [
@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
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-     "shell.execute_reply": "2024-12-05T03:21:31.537172Z"
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@@ -196,10 +196,10 @@
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@@ -250,10 +250,10 @@
    "execution_count": 6,
    "metadata": {
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-     "iopub.status.idle": "2024-12-05T03:21:31.980425Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.979904Z"
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@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:21:31.982569Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.982186Z",
-     "iopub.status.idle": "2024-12-05T03:21:32.116976Z",
-     "shell.execute_reply": "2024-12-05T03:21:32.116336Z"
+     "iopub.execute_input": "2024-12-05T04:47:11.783120Z",
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    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:21:32.119328Z",
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-     "shell.execute_reply": "2024-12-05T03:21:32.639847Z"
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    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
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-     "shell.execute_reply": "2024-12-05T03:21:32.820634Z"
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    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:32.823312Z",
-     "iopub.status.busy": "2024-12-05T03:21:32.822906Z",
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-     "shell.execute_reply": "2024-12-05T03:21:32.988306Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.638214Z",
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+     "shell.execute_reply": "2024-12-05T04:47:12.807245Z"
     }
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    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:21:32.991113Z",
-     "iopub.status.busy": "2024-12-05T03:21:32.990698Z",
-     "iopub.status.idle": "2024-12-05T03:21:33.121686Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.121123Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.810422Z",
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+     "shell.execute_reply": "2024-12-05T04:47:12.941226Z"
     }
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    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.123837Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.123457Z",
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-     "shell.execute_reply": "2024-12-05T03:21:33.299694Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.944103Z",
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    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
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-     "shell.execute_reply": "2024-12-05T03:21:33.460659Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.128611Z",
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+     "shell.execute_reply": "2024-12-05T04:47:13.288976Z"
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    "outputs": [
@@ -593,10 +593,10 @@
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-     "shell.execute_reply": "2024-12-05T03:21:33.614363Z"
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+     "iopub.status.busy": "2024-12-05T04:47:13.291345Z",
+     "iopub.status.idle": "2024-12-05T04:47:13.425891Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.425120Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.617371Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.616925Z",
-     "iopub.status.idle": "2024-12-05T03:21:33.887906Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.887267Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.428264Z",
+     "iopub.status.busy": "2024-12-05T04:47:13.427871Z",
+     "iopub.status.idle": "2024-12-05T04:47:13.589877Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.589261Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.890102Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.889904Z",
-     "iopub.status.idle": "2024-12-05T03:21:33.958944Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.958377Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.592156Z",
+     "iopub.status.busy": "2024-12-05T04:47:13.591784Z",
+     "iopub.status.idle": "2024-12-05T04:47:13.769692Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.769088Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.961315Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.960784Z",
-     "iopub.status.idle": "2024-12-05T03:21:34.407442Z",
-     "shell.execute_reply": "2024-12-05T03:21:34.406774Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.771715Z",
+     "iopub.status.busy": "2024-12-05T04:47:13.771518Z",
+     "iopub.status.idle": "2024-12-05T04:47:14.223630Z",
+     "shell.execute_reply": "2024-12-05T04:47:14.223002Z"
     }
    },
    "outputs": [
     {
      "data": {
-      "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": "2024-12-05T03:21:34.409586Z",
-     "iopub.status.busy": "2024-12-05T03:21:34.409139Z",
-     "iopub.status.idle": "2024-12-05T03:21:34.667420Z",
-     "shell.execute_reply": "2024-12-05T03:21:34.666812Z"
+     "iopub.execute_input": "2024-12-05T04:47:14.226071Z",
+     "iopub.status.busy": "2024-12-05T04:47:14.225610Z",
+     "iopub.status.idle": "2024-12-05T04:47:14.487412Z",
+     "shell.execute_reply": "2024-12-05T04:47:14.486860Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
index 845039d0d..fda94d81a 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": "2024-12-05T03:21:37.291915Z",
-     "iopub.status.busy": "2024-12-05T03:21:37.291726Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.024215Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.023670Z"
+     "iopub.execute_input": "2024-12-05T04:47:16.990270Z",
+     "iopub.status.busy": "2024-12-05T04:47:16.990081Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.717290Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.716676Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.026436Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.025967Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.032743Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.032274Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.719857Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.719329Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.725919Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.725452Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.034620Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.034422Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.038774Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.038313Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.727987Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.727624Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.732068Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.731473Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.040973Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.040442Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.044870Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.044379Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.734124Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.733932Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.738101Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.737512Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.046998Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.046581Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.052906Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.052316Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.740165Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.739826Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.746116Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.745625Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.054945Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.054590Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.060386Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.059903Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.748053Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.747734Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.753752Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.753218Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.062114Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.061929Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.067001Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.066524Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.755598Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.755279Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.760456Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.759964Z"
     }
    },
    "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 e59fb4340..2d824b3ee 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 e51384ae0..5a426c4d7 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": "2024-12-05T03:21:40.045206Z",
-     "iopub.status.busy": "2024-12-05T03:21:40.044764Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.054600Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.054000Z"
+     "iopub.execute_input": "2024-12-05T04:47:19.614667Z",
+     "iopub.status.busy": "2024-12-05T04:47:19.614473Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.632277Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.631645Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpm19br8hy\n",
+      "Parsing /tmp/tmphpc8qqlh\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_ovlp get_hcore  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": "2024-12-05T03:21:41.057868Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.057140Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.062181Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.061615Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.635458Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.634865Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.639723Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.639260Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:41.064499Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.064099Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.067400Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.066875Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.641824Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.641345Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.644638Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.644188Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:41.069298Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.068913Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.192191Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.191651Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.646296Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.646122Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.780872Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.780298Z"
     }
    },
    "outputs": [
@@ -211,7 +211,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -75.67794403659722\n"
+      "Energy at initialialization: -75.67794403659728\n"
      ]
     }
    ],
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:41.194514Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.194006Z",
-     "iopub.status.idle": "2024-12-05T03:21:49.107340Z",
-     "shell.execute_reply": "2024-12-05T03:21:49.106740Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.782975Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.782769Z",
+     "iopub.status.idle": "2024-12-05T04:47:28.675124Z",
+     "shell.execute_reply": "2024-12-05T04:47:28.674590Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.68381556798737\n",
-      "        x: [-1.603e-01  6.418e-03 ...  5.747e-02 -1.005e-01]\n",
+      "      fun: -75.6838155921487\n",
+      "        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.132e-04  1.108e-04 ... -4.749e-03  7.439e-03]\n",
+      "      jac: [ 2.132e-04  1.052e-04 ... -4.755e-03  7.408e-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 fdd6d7e17..7ab8a7f21 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": "2024-12-05T03:21:50.640522Z",
-     "iopub.status.busy": "2024-12-05T03:21:50.640134Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.341324Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.340747Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.226768Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.226575Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.965603Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.964988Z"
     }
    },
    "outputs": [
@@ -40,9 +40,9 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(0), des_a(3)): 0.5,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
-       "    (cre_a(3), des_a(0)): -0.25\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": "2024-12-05T03:21:51.343521Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.343223Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.347243Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.346758Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.967881Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.967396Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.971660Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.971050Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+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": "2024-12-05T03:21:51.349301Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.348918Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.353277Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.352826Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.973761Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.973421Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.977951Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.977358Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_a(3), des_a(0)): -0.5,\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), des_a(3), des_b(3)): -0.125,\n",
+       "    (cre_b(2)): 0-0.25j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
        "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_a(3), des_a(0)): -0.5,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (des_a(3), des_b(3)): 0.0625\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.355312Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.354859Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.358956Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.358362Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.980267Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.979767Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.983877Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.983421Z"
     }
    },
    "outputs": [
@@ -181,17 +181,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(2)): -5,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\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), des_a(3), des_b(3)): 0+0.5j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.360954Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.360624Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.364593Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.364003Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.985909Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.985608Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.989535Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.989012Z"
     }
    },
    "outputs": [
@@ -231,16 +231,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\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",
-       "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (des_b(3), des_a(3)): 0+1.25j,\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(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_b(2)): -5,\n",
        "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2)): -5\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",
+       "    (des_b(3), des_a(3)): 0+1.25j,\n",
+       "    (cre_a(0), des_a(3)): 0-6j\n",
        "})"
       ]
      },
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.366539Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.366208Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.369122Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.368636Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.991463Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.991103Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.994167Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.993691Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.370816Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.370632Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.374623Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.374039Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.995896Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.995698Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.999695Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.999229Z"
     }
    },
    "outputs": [
@@ -341,10 +341,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.376696Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.376269Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.382038Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.381553Z"
+     "iopub.execute_input": "2024-12-05T04:47:31.001572Z",
+     "iopub.status.busy": "2024-12-05T04:47:31.001223Z",
+     "iopub.status.idle": "2024-12-05T04:47:31.007527Z",
+     "shell.execute_reply": "2024-12-05T04:47:31.007016Z"
     }
    },
    "outputs": [
@@ -353,7 +353,7 @@
       "text/plain": [
        "array([0.        +0.j        , 0.        +0.j        ,\n",
        "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.13782298-0.09230004j, 0.        +0.j        ,\n",
+       "       0.11570449-0.30035899j, 0.        +0.j        ,\n",
        "       0.        +0.j        , 0.        +0.j        ,\n",
        "       0.        +0.j        ])"
       ]
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.384119Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.383694Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.394533Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.394082Z"
+     "iopub.execute_input": "2024-12-05T04:47:31.009412Z",
+     "iopub.status.busy": "2024-12-05T04:47:31.009117Z",
+     "iopub.status.idle": "2024-12-05T04:47:31.020986Z",
+     "shell.execute_reply": "2024-12-05T04:47:31.020399Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
index e80c1f706..d69f9970c 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": "2024-12-05T03:21:53.113886Z",
-     "iopub.status.busy": "2024-12-05T03:21:53.113685Z",
-     "iopub.status.idle": "2024-12-05T03:21:54.115496Z",
-     "shell.execute_reply": "2024-12-05T03:21:54.114824Z"
+     "iopub.execute_input": "2024-12-05T04:47:33.052758Z",
+     "iopub.status.busy": "2024-12-05T04:47:33.052570Z",
+     "iopub.status.idle": "2024-12-05T04:47:34.088439Z",
+     "shell.execute_reply": "2024-12-05T04:47:34.087780Z"
     }
    },
    "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/tmpqg7_8pjf\n",
+      "Parsing /tmp/tmpiqx5sdlb\n",
       "converged SCF energy = -77.8266321248744\n"
      ]
     },
@@ -42,7 +42,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_ovlp get_hcore  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": "2024-12-05T03:21:54.118487Z",
-     "iopub.status.busy": "2024-12-05T03:21:54.117857Z",
-     "iopub.status.idle": "2024-12-05T03:21:54.189316Z",
-     "shell.execute_reply": "2024-12-05T03:21:54.188746Z"
+     "iopub.execute_input": "2024-12-05T04:47:34.091238Z",
+     "iopub.status.busy": "2024-12-05T04:47:34.090881Z",
+     "iopub.status.idle": "2024-12-05T04:47:34.163484Z",
+     "shell.execute_reply": "2024-12-05T04:47:34.162860Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374029  E_corr = -0.04758323886585067\n"
+      "E(CCSD) = -77.87421536374035  E_corr = -0.04758323886584979\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.87160024816282\n"
+      "Energy at initialization: -77.87160024816271\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:54.192242Z",
-     "iopub.status.busy": "2024-12-05T03:21:54.191660Z",
-     "iopub.status.idle": "2024-12-05T03:23:41.886254Z",
-     "shell.execute_reply": "2024-12-05T03:23:41.885678Z"
+     "iopub.execute_input": "2024-12-05T04:47:34.166386Z",
+     "iopub.status.busy": "2024-12-05T04:47:34.166100Z",
+     "iopub.status.idle": "2024-12-05T04:49:19.368740Z",
+     "shell.execute_reply": "2024-12-05T04:49:19.368156Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392946924\n",
-      "        x: [-1.152e+00  2.429e-04 ...  2.427e-04  1.287e-01]\n",
+      "      fun: -77.87387393478726\n",
+      "        x: [ 4.547e-04 -1.276e+00 ...  1.908e-04  1.287e-01]\n",
       "      nit: 10\n",
-      "      jac: [-3.126e-05 -2.416e-05 ...  4.263e-06  0.000e+00]\n",
+      "      jac: [-8.527e-06 -7.105e-06 ...  1.847e-05  1.563e-05]\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": "2024-12-05T03:23:41.889131Z",
-     "iopub.status.busy": "2024-12-05T03:23:41.888857Z",
-     "iopub.status.idle": "2024-12-05T03:24:18.451311Z",
-     "shell.execute_reply": "2024-12-05T03:24:18.450673Z"
+     "iopub.execute_input": "2024-12-05T04:49:19.372489Z",
+     "iopub.status.busy": "2024-12-05T04:49:19.372004Z",
+     "iopub.status.idle": "2024-12-05T04:49:55.323205Z",
+     "shell.execute_reply": "2024-12-05T04:49:55.322633Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426554221\n",
-      "        x: [-1.152e+00 -3.455e-05 ...  3.518e-02  2.561e-01]\n",
+      "      fun: -77.87363426561933\n",
+      "        x: [-5.097e-05 -1.276e+00 ...  3.521e-02  2.560e-01]\n",
       "      nit: 5\n",
-      "      jac: [-1.990e-05  4.547e-05 ...  5.684e-06 -5.684e-06]\n",
+      "      jac: [-1.279e-05  8.527e-06 ...  0.000e+00 -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": "2024-12-05T03:24:18.455061Z",
-     "iopub.status.busy": "2024-12-05T03:24:18.454107Z",
-     "iopub.status.idle": "2024-12-05T03:24:37.881300Z",
-     "shell.execute_reply": "2024-12-05T03:24:37.880651Z"
+     "iopub.execute_input": "2024-12-05T04:49:55.325870Z",
+     "iopub.status.busy": "2024-12-05T04:49:55.325412Z",
+     "iopub.status.idle": "2024-12-05T04:50:36.439220Z",
+     "shell.execute_reply": "2024-12-05T04:50:36.438634Z"
     }
    },
    "outputs": [
@@ -326,31 +326,61 @@
      "output_type": "stream",
      "text": [
       "Number of parameters: 46\n",
-      " message: Convergence: Relative reduction of objective function <= ftol.\n",
-      " success: True\n",
-      "     fun: -77.87363428118711\n",
-      "       x: [-1.152e+00  7.876e-04 ...  3.488e-02  2.557e-01]\n",
-      "     nit: 3\n",
-      "     jac: [ 7.816e-07  1.160e-05 ... -1.013e-06 -8.020e-06]\n",
-      "    nfev: 529\n",
-      "    njev: 4\n",
-      "  nlinop: 345\n",
+      " message: Stop: Total number of iterations reached limit.\n",
+      " success: False\n",
+      "     fun: -77.87415887962864\n",
+      "       x: [ 5.575e-03 -1.331e+00 ...  3.528e-02  3.174e-01]\n",
+      "     nit: 10\n",
+      "     jac: [ 3.935e-05  7.358e-06 ... -2.139e-04 -1.046e-04]\n",
+      "    nfev: 1267\n",
+      "    njev: 10\n",
+      "  nlinop: 807\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363196954891\n",
-      "    Norm of gradient: 0.0010575938908307025\n",
-      "    Regularization hyperparameter: 0.001761897637537816\n",
-      "    Variation hyperparameter: 0.9990810043136625\n",
+      "    Energy: -77.87362685711526\n",
+      "    Norm of gradient: 0.001855901915920389\n",
+      "    Regularization hyperparameter: 0.0006311432653366777\n",
+      "    Variation hyperparameter: 0.9822442645562184\n",
       "Iteration 2\n",
-      "    Energy: -77.8736342801622\n",
-      "    Norm of gradient: 6.770421184784103e-05\n",
-      "    Regularization hyperparameter: 0.001761897637537816\n",
-      "    Variation hyperparameter: 0.9990810043136625\n",
+      "    Energy: -77.87363310271725\n",
+      "    Norm of gradient: 0.00030252117985897243\n",
+      "    Regularization hyperparameter: 0.017917228638547493\n",
+      "    Variation hyperparameter: 0.9822715295787552\n",
       "Iteration 3\n",
-      "    Energy: -77.87363428118711\n",
-      "    Norm of gradient: 5.91431234347536e-05\n",
-      "    Regularization hyperparameter: 1.826121241130568\n",
-      "    Variation hyperparameter: 0.9998395119356727\n"
+      "    Energy: -77.87363465185152\n",
+      "    Norm of gradient: 0.00013693848943698868\n",
+      "    Regularization hyperparameter: 0.0016125257073217676\n",
+      "    Variation hyperparameter: 0.9796823873521728\n",
+      "Iteration 4\n",
+      "    Energy: -77.87367036227928\n",
+      "    Norm of gradient: 0.0036903600525447777\n",
+      "    Regularization hyperparameter: 0.00023737584156002583\n",
+      "    Variation hyperparameter: 0.9797942563603614\n",
+      "Iteration 5\n",
+      "    Energy: -77.87367575401149\n",
+      "    Norm of gradient: 0.0032559906379786073\n",
+      "    Regularization hyperparameter: 1.028498765850173\n",
+      "    Variation hyperparameter: 0.9796914690528229\n",
+      "Iteration 6\n",
+      "    Energy: -77.87368004450491\n",
+      "    Norm of gradient: 0.0029155790648158287\n",
+      "    Regularization hyperparameter: 1.028498765850173\n",
+      "    Variation hyperparameter: 0.9796914690528229\n",
+      "Iteration 7\n",
+      "    Energy: -77.8739817406614\n",
+      "    Norm of gradient: 0.005990163908565813\n",
+      "    Regularization hyperparameter: 0.001147509641622838\n",
+      "    Variation hyperparameter: 0.8996245760543174\n",
+      "Iteration 8\n",
+      "    Energy: -77.87414523157764\n",
+      "    Norm of gradient: 0.0018668421854928312\n",
+      "    Regularization hyperparameter: 0.0008331180627833742\n",
+      "    Variation hyperparameter: 0.8998205846301155\n",
+      "Iteration 9\n",
+      "    Energy: -77.8741576272094\n",
+      "    Norm of gradient: 0.0006038689751939719\n",
+      "    Regularization hyperparameter: 0.00025281008523048225\n",
+      "    Variation hyperparameter: 0.9027648650557756\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
index 482021668..2196b445e 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": "2024-12-05T03:24:39.456445Z",
-     "iopub.status.busy": "2024-12-05T03:24:39.456253Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.155805Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.155276Z"
+     "iopub.execute_input": "2024-12-05T04:50:38.336473Z",
+     "iopub.status.busy": "2024-12-05T04:50:38.336280Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.070125Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.069579Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.158319Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.157923Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.783095Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.782523Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.072600Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.072144Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.668193Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.667540Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.785611Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.784914Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.838801Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.838179Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.670961Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.670111Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.727231Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.726569Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.840795Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.840596Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.845007Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.844439Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.729735Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.729386Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.733779Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.733276Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2cfa0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521b910>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.846845Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.846651Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.851609Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.851021Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.735886Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.735487Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.740764Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.740173Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2ca60>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521a590>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.853466Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.853274Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.858068Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.857469Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.743192Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.742782Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.747601Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.747124Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2e410>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f0315bf0070>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.860035Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.859691Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.864104Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.863518Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.749484Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.749269Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.753884Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.753313Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2c400>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521a5c0>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.865967Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.865637Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.869985Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.869528Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.755940Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.755577Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.760094Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.759612Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc435723a60>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031592f400>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.872043Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.871604Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.876834Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.876270Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.761841Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.761647Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.767034Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.766447Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2efb0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521ac80>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.878795Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.878432Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.883674Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.883188Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.769107Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.768908Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.774806Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.774227Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc435615c30>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521b010>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.885608Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.885242Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.890580Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.890136Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.777047Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.776647Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.782265Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.781793Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc435723460>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f0315bf39d0>"
       ]
      },
      "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 f1cee1268..544fa4f8a 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": "2024-12-05T03:24:42.786996Z",
-     "iopub.status.busy": "2024-12-05T03:24:42.786810Z",
-     "iopub.status.idle": "2024-12-05T03:24:43.473452Z",
-     "shell.execute_reply": "2024-12-05T03:24:43.472896Z"
+     "iopub.execute_input": "2024-12-05T04:50:41.796420Z",
+     "iopub.status.busy": "2024-12-05T04:50:41.796235Z",
+     "iopub.status.idle": "2024-12-05T04:50:42.529490Z",
+     "shell.execute_reply": "2024-12-05T04:50:42.528818Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:43.476028Z",
-     "iopub.status.busy": "2024-12-05T03:24:43.475564Z",
-     "iopub.status.idle": "2024-12-05T03:24:43.538662Z",
-     "shell.execute_reply": "2024-12-05T03:24:43.538071Z"
+     "iopub.execute_input": "2024-12-05T04:50:42.531917Z",
+     "iopub.status.busy": "2024-12-05T04:50:42.531561Z",
+     "iopub.status.idle": "2024-12-05T04:50:42.597274Z",
+     "shell.execute_reply": "2024-12-05T04:50:42.596712Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:43.540921Z",
-     "iopub.status.busy": "2024-12-05T03:24:43.540416Z",
-     "iopub.status.idle": "2024-12-05T03:24:43.825014Z",
-     "shell.execute_reply": "2024-12-05T03:24:43.824381Z"
+     "iopub.execute_input": "2024-12-05T04:50:42.599625Z",
+     "iopub.status.busy": "2024-12-05T04:50:42.599248Z",
+     "iopub.status.idle": "2024-12-05T04:50:42.890209Z",
+     "shell.execute_reply": "2024-12-05T04:50:42.889660Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334856  E_corr = -0.1278053627110059\n"
+      "E(CCSD) = -108.9630419334856  E_corr = -0.1278053627110061\n"
      ]
     },
     {
@@ -194,7 +194,7 @@
        " '0000000001011000000000010110': 10,\n",
        " '0001000001010000000000000111': 5,\n",
        " '0000000001011000100000000110': 4,\n",
-       " '0100000000100100000000000111': 3,\n",
+       " '0100000001001000000000000111': 3,\n",
        " '0000000000011100100000001100': 3,\n",
        " '0010000000011000000000010110': 3}"
       ]
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:43.827282Z",
-     "iopub.status.busy": "2024-12-05T03:24:43.826768Z",
-     "iopub.status.idle": "2024-12-05T03:24:44.368732Z",
-     "shell.execute_reply": "2024-12-05T03:24:44.368099Z"
+     "iopub.execute_input": "2024-12-05T04:50:42.892649Z",
+     "iopub.status.busy": "2024-12-05T04:50:42.892132Z",
+     "iopub.status.idle": "2024-12-05T04:50:43.440269Z",
+     "shell.execute_reply": "2024-12-05T04:50:43.439652Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557063616\n"
+      "SCF energy = -75.3484557067739\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.4561973913865  E_corr = -0.1077416850249517\n"
+      "E(UCCSD) = -75.45619739131376  E_corr = -0.1077416845398132\n"
      ]
     },
     {
diff --git a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
index ff0fcf662..8ee8fffb2 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": "2024-12-05T03:24:45.923610Z",
-     "iopub.status.busy": "2024-12-05T03:24:45.923421Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.676204Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.675632Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.060715Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.060524Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.838950Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.838311Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.679398Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.678465Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.683627Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.683009Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.842464Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.841892Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.846401Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.845830Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.685803Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.685344Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.689861Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.689405Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.848668Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.848340Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.852870Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.852337Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.691839Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.691484Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.695294Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.694799Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.855132Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.854603Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.859029Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.858493Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.697235Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.696822Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.700442Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.699970Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.860796Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.860615Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.864240Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.863712Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.702448Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.702098Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.720392Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.719899Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.866157Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.865817Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.887001Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.886493Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.03668541730983477\n"
+      "Maximum error in a tensor entry: 0.036685417309835655\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.722271Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.721943Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.726146Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.725562Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.889065Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.888815Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.892958Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.892470Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.728062Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.727724Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.731309Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.730691Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.895111Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.894751Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.898688Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.898088Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.733244Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.732809Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.833048Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.832493Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.900714Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.900352Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.998404Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.997725Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.836109Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.835316Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.884721Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.884124Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.001119Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.000556Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.049519Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.048970Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.940243511515908\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402384003985698\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.886638Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.886293Z",
-     "iopub.status.idle": "2024-12-05T03:24:47.094658Z",
-     "shell.execute_reply": "2024-12-05T03:24:47.094144Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.051515Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.051316Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.261990Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.261346Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212854201858\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985210983501976\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:47.096768Z",
-     "iopub.status.busy": "2024-12-05T03:24:47.096400Z",
-     "iopub.status.idle": "2024-12-05T03:24:47.227776Z",
-     "shell.execute_reply": "2024-12-05T03:24:47.227137Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.264192Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.263853Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.389718Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.389062Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212854202294\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985210983500586\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:47.230002Z",
-     "iopub.status.busy": "2024-12-05T03:24:47.229543Z",
-     "iopub.status.idle": "2024-12-05T03:24:47.329290Z",
-     "shell.execute_reply": "2024-12-05T03:24:47.328789Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.392016Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.391656Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.493627Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.493019Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731164188969\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731173183583\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/tutorials/double-factorized-trotter.doctree b/dev/.doctrees/tutorials/double-factorized-trotter.doctree
index 0367c2ead..2f70754af 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 e59fb4340..2d824b3ee 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/explanations/hamiltonians.html b/dev/explanations/hamiltonians.html
index 694bb0631..32ad05ac2 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(-99.55717072551569)
+np.float64(-99.55717072551553)
 </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_4129/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
+/tmp/ipykernel_4154/2190712273.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 bb2c53292..542d6136e 100644
--- a/dev/explanations/hamiltonians.ipynb
+++ b/dev/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.212599Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.212405Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.936360Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.935726Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.170333Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.169891Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.899239Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.898651Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.938787Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.938491Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.941593Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.941110Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.901846Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.901352Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.904240Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.903774Z"
     }
    },
    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.943786Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.943290Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.946565Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.946108Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.906329Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.905971Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.908965Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.908507Z"
     }
    },
    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.948362Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.948174Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.952632Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.952065Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.910865Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.910504Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.915405Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.914846Z"
     }
    },
    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:22.954753Z",
-     "iopub.status.busy": "2024-12-05T03:21:22.954540Z",
-     "iopub.status.idle": "2024-12-05T03:21:22.979586Z",
-     "shell.execute_reply": "2024-12-05T03:21:22.979023Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.918616Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.917818Z",
+     "iopub.status.idle": "2024-12-05T04:46:56.946633Z",
+     "shell.execute_reply": "2024-12-05T04:46:56.945953Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.55717072551569)"
+       "np.float64(-99.55717072551553)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:23.014517Z",
-     "iopub.status.busy": "2024-12-05T03:21:23.013952Z",
-     "iopub.status.idle": "2024-12-05T03:21:23.722545Z",
-     "shell.execute_reply": "2024-12-05T03:21:23.721915Z"
+     "iopub.execute_input": "2024-12-05T04:46:56.980235Z",
+     "iopub.status.busy": "2024-12-05T04:46:56.979782Z",
+     "iopub.status.idle": "2024-12-05T04:46:57.697130Z",
+     "shell.execute_reply": "2024-12-05T04:46:57.696466Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4129/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4154/2190712273.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": "2024-12-05T03:21:23.725922Z",
-     "iopub.status.busy": "2024-12-05T03:21:23.725125Z",
-     "iopub.status.idle": "2024-12-05T03:21:24.323558Z",
-     "shell.execute_reply": "2024-12-05T03:21:24.322918Z"
+     "iopub.execute_input": "2024-12-05T04:46:57.700023Z",
+     "iopub.status.busy": "2024-12-05T04:46:57.699781Z",
+     "iopub.status.idle": "2024-12-05T04:46:58.311503Z",
+     "shell.execute_reply": "2024-12-05T04:46:58.310879Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/orbital-rotation.ipynb b/dev/explanations/orbital-rotation.ipynb
index 1226b7570..541ea77b8 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": "2024-12-05T03:21:27.401921Z",
-     "iopub.status.busy": "2024-12-05T03:21:27.401472Z",
-     "iopub.status.idle": "2024-12-05T03:21:28.119716Z",
-     "shell.execute_reply": "2024-12-05T03:21:28.119137Z"
+     "iopub.execute_input": "2024-12-05T04:47:04.503741Z",
+     "iopub.status.busy": "2024-12-05T04:47:04.503545Z",
+     "iopub.status.idle": "2024-12-05T04:47:05.238122Z",
+     "shell.execute_reply": "2024-12-05T04:47:05.237523Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/qiskit-gate-decompositions.ipynb b/dev/explanations/qiskit-gate-decompositions.ipynb
index 62f857fbb..37ec63cee 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": "2024-12-05T03:21:29.543343Z",
-     "iopub.status.busy": "2024-12-05T03:21:29.542995Z",
-     "iopub.status.idle": "2024-12-05T03:21:31.111710Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.111147Z"
+     "iopub.execute_input": "2024-12-05T04:47:06.896362Z",
+     "iopub.status.busy": "2024-12-05T04:47:06.896167Z",
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+     "shell.execute_reply": "2024-12-05T04:47:10.927878Z"
     }
    },
    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:31.113976Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.113487Z",
-     "iopub.status.idle": "2024-12-05T03:21:31.316959Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.316364Z"
+     "iopub.execute_input": "2024-12-05T04:47:10.931010Z",
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+     "iopub.status.idle": "2024-12-05T04:47:11.143861Z",
+     "shell.execute_reply": "2024-12-05T04:47:11.143226Z"
     }
    },
    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:31.319255Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.318854Z",
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-     "shell.execute_reply": "2024-12-05T03:21:31.425800Z"
+     "iopub.execute_input": "2024-12-05T04:47:11.146444Z",
+     "iopub.status.busy": "2024-12-05T04:47:11.145906Z",
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+     "shell.execute_reply": "2024-12-05T04:47:11.254491Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-12-05T03:21:31.428270Z",
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-     "shell.execute_reply": "2024-12-05T03:21:31.537172Z"
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+     "iopub.status.idle": "2024-12-05T04:47:11.369270Z",
+     "shell.execute_reply": "2024-12-05T04:47:11.368577Z"
     }
    },
    "outputs": [
@@ -196,10 +196,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:31.540008Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.539516Z",
-     "iopub.status.idle": "2024-12-05T03:21:31.747721Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.746610Z"
+     "iopub.execute_input": "2024-12-05T04:47:11.371447Z",
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+     "shell.execute_reply": "2024-12-05T04:47:11.556603Z"
     }
    },
    "outputs": [
@@ -250,10 +250,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:31.750916Z",
-     "iopub.status.busy": "2024-12-05T03:21:31.750536Z",
-     "iopub.status.idle": "2024-12-05T03:21:31.980425Z",
-     "shell.execute_reply": "2024-12-05T03:21:31.979904Z"
+     "iopub.execute_input": "2024-12-05T04:47:11.559444Z",
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+     "iopub.status.idle": "2024-12-05T04:47:11.780913Z",
+     "shell.execute_reply": "2024-12-05T04:47:11.780301Z"
     }
    },
    "outputs": [
@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
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-     "iopub.status.busy": "2024-12-05T03:21:31.982186Z",
-     "iopub.status.idle": "2024-12-05T03:21:32.116976Z",
-     "shell.execute_reply": "2024-12-05T03:21:32.116336Z"
+     "iopub.execute_input": "2024-12-05T04:47:11.783120Z",
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+     "iopub.status.idle": "2024-12-05T04:47:11.919074Z",
+     "shell.execute_reply": "2024-12-05T04:47:11.918459Z"
     }
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    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
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-     "iopub.status.busy": "2024-12-05T03:21:32.118738Z",
-     "iopub.status.idle": "2024-12-05T03:21:32.640450Z",
-     "shell.execute_reply": "2024-12-05T03:21:32.639847Z"
+     "iopub.execute_input": "2024-12-05T04:47:11.921244Z",
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     }
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    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:32.642697Z",
-     "iopub.status.busy": "2024-12-05T03:21:32.642353Z",
-     "iopub.status.idle": "2024-12-05T03:21:32.821158Z",
-     "shell.execute_reply": "2024-12-05T03:21:32.820634Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.455860Z",
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     }
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    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:32.823312Z",
-     "iopub.status.busy": "2024-12-05T03:21:32.822906Z",
-     "iopub.status.idle": "2024-12-05T03:21:32.988913Z",
-     "shell.execute_reply": "2024-12-05T03:21:32.988306Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.638214Z",
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+     "iopub.status.idle": "2024-12-05T04:47:12.807896Z",
+     "shell.execute_reply": "2024-12-05T04:47:12.807245Z"
     }
    },
    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:32.991113Z",
-     "iopub.status.busy": "2024-12-05T03:21:32.990698Z",
-     "iopub.status.idle": "2024-12-05T03:21:33.121686Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.121123Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.810422Z",
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+     "iopub.status.idle": "2024-12-05T04:47:12.941894Z",
+     "shell.execute_reply": "2024-12-05T04:47:12.941226Z"
     }
    },
    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.123837Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.123457Z",
-     "iopub.status.idle": "2024-12-05T03:21:33.300292Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.299694Z"
+     "iopub.execute_input": "2024-12-05T04:47:12.944103Z",
+     "iopub.status.busy": "2024-12-05T04:47:12.943722Z",
+     "iopub.status.idle": "2024-12-05T04:47:13.126592Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.126005Z"
     }
    },
    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.302440Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.302062Z",
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-     "shell.execute_reply": "2024-12-05T03:21:33.460659Z"
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+     "iopub.status.idle": "2024-12-05T04:47:13.289598Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.288976Z"
     }
    },
    "outputs": [
@@ -593,10 +593,10 @@
    "execution_count": 14,
    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:21:33.463262Z",
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-     "iopub.status.idle": "2024-12-05T03:21:33.614941Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.614363Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.291732Z",
+     "iopub.status.busy": "2024-12-05T04:47:13.291345Z",
+     "iopub.status.idle": "2024-12-05T04:47:13.425891Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.425120Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
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-     "shell.execute_reply": "2024-12-05T03:21:33.887267Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.428264Z",
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+     "iopub.status.idle": "2024-12-05T04:47:13.589877Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.589261Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.890102Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.889904Z",
-     "iopub.status.idle": "2024-12-05T03:21:33.958944Z",
-     "shell.execute_reply": "2024-12-05T03:21:33.958377Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.592156Z",
+     "iopub.status.busy": "2024-12-05T04:47:13.591784Z",
+     "iopub.status.idle": "2024-12-05T04:47:13.769692Z",
+     "shell.execute_reply": "2024-12-05T04:47:13.769088Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:33.961315Z",
-     "iopub.status.busy": "2024-12-05T03:21:33.960784Z",
-     "iopub.status.idle": "2024-12-05T03:21:34.407442Z",
-     "shell.execute_reply": "2024-12-05T03:21:34.406774Z"
+     "iopub.execute_input": "2024-12-05T04:47:13.771715Z",
+     "iopub.status.busy": "2024-12-05T04:47:13.771518Z",
+     "iopub.status.idle": "2024-12-05T04:47:14.223630Z",
+     "shell.execute_reply": "2024-12-05T04:47:14.223002Z"
     }
    },
    "outputs": [
     {
      "data": {
-      "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": "2024-12-05T03:21:34.409586Z",
-     "iopub.status.busy": "2024-12-05T03:21:34.409139Z",
-     "iopub.status.idle": "2024-12-05T03:21:34.667420Z",
-     "shell.execute_reply": "2024-12-05T03:21:34.666812Z"
+     "iopub.execute_input": "2024-12-05T04:47:14.226071Z",
+     "iopub.status.busy": "2024-12-05T04:47:14.225610Z",
+     "iopub.status.idle": "2024-12-05T04:47:14.487412Z",
+     "shell.execute_reply": "2024-12-05T04:47:14.486860Z"
     }
    },
    "outputs": [
diff --git a/dev/explanations/state-vectors-and-gates.ipynb b/dev/explanations/state-vectors-and-gates.ipynb
index 845039d0d..fda94d81a 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": "2024-12-05T03:21:37.291915Z",
-     "iopub.status.busy": "2024-12-05T03:21:37.291726Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.024215Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.023670Z"
+     "iopub.execute_input": "2024-12-05T04:47:16.990270Z",
+     "iopub.status.busy": "2024-12-05T04:47:16.990081Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.717290Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.716676Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.026436Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.025967Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.032743Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.032274Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.719857Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.719329Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.725919Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.725452Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.034620Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.034422Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.038774Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.038313Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.727987Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.727624Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.732068Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.731473Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.040973Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.040442Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.044870Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.044379Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.734124Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.733932Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.738101Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.737512Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.046998Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.046581Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.052906Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.052316Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.740165Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.739826Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.746116Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.745625Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.054945Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.054590Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.060386Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.059903Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.748053Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.747734Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.753752Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.753218Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:38.062114Z",
-     "iopub.status.busy": "2024-12-05T03:21:38.061929Z",
-     "iopub.status.idle": "2024-12-05T03:21:38.067001Z",
-     "shell.execute_reply": "2024-12-05T03:21:38.066524Z"
+     "iopub.execute_input": "2024-12-05T04:47:17.755598Z",
+     "iopub.status.busy": "2024-12-05T04:47:17.755279Z",
+     "iopub.status.idle": "2024-12-05T04:47:17.760456Z",
+     "shell.execute_reply": "2024-12-05T04:47:17.759964Z"
     }
    },
    "outputs": [
diff --git a/dev/how-to-guides/entanglement-forging.html b/dev/how-to-guides/entanglement-forging.html
index 0b7858592..0e6eb0f99 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/tmpm19br8hy
+Parsing /tmp/tmphpc8qqlh
 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_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_ovlp get_hcore  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
@@ -425,7 +425,7 @@ <h2>Compute energy<a class="headerlink" href="#Compute-energy" title="Link to th
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Energy at initialialization: -75.67794403659722
+Energy at initialialization: -75.67794403659728
 </pre></div></div>
 </div>
 </section>
@@ -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: -75.68381556798737
-        x: [-1.603e-01  6.418e-03 ...  5.747e-02 -1.005e-01]
+      fun: -75.6838155921487
+        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]
       nit: 3
-      jac: [ 2.132e-04  1.108e-04 ... -4.749e-03  7.439e-03]
+      jac: [ 2.132e-04  1.052e-04 ... -4.755e-03  7.408e-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 e51384ae0..5a426c4d7 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": "2024-12-05T03:21:40.045206Z",
-     "iopub.status.busy": "2024-12-05T03:21:40.044764Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.054600Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.054000Z"
+     "iopub.execute_input": "2024-12-05T04:47:19.614667Z",
+     "iopub.status.busy": "2024-12-05T04:47:19.614473Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.632277Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.631645Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpm19br8hy\n",
+      "Parsing /tmp/tmphpc8qqlh\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_ovlp get_hcore  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": "2024-12-05T03:21:41.057868Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.057140Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.062181Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.061615Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.635458Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.634865Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.639723Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.639260Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:41.064499Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.064099Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.067400Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.066875Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.641824Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.641345Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.644638Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.644188Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:41.069298Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.068913Z",
-     "iopub.status.idle": "2024-12-05T03:21:41.192191Z",
-     "shell.execute_reply": "2024-12-05T03:21:41.191651Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.646296Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.646122Z",
+     "iopub.status.idle": "2024-12-05T04:47:20.780872Z",
+     "shell.execute_reply": "2024-12-05T04:47:20.780298Z"
     }
    },
    "outputs": [
@@ -211,7 +211,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -75.67794403659722\n"
+      "Energy at initialialization: -75.67794403659728\n"
      ]
     }
    ],
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:41.194514Z",
-     "iopub.status.busy": "2024-12-05T03:21:41.194006Z",
-     "iopub.status.idle": "2024-12-05T03:21:49.107340Z",
-     "shell.execute_reply": "2024-12-05T03:21:49.106740Z"
+     "iopub.execute_input": "2024-12-05T04:47:20.782975Z",
+     "iopub.status.busy": "2024-12-05T04:47:20.782769Z",
+     "iopub.status.idle": "2024-12-05T04:47:28.675124Z",
+     "shell.execute_reply": "2024-12-05T04:47:28.674590Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.68381556798737\n",
-      "        x: [-1.603e-01  6.418e-03 ...  5.747e-02 -1.005e-01]\n",
+      "      fun: -75.6838155921487\n",
+      "        x: [-1.603e-01  6.417e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.132e-04  1.108e-04 ... -4.749e-03  7.439e-03]\n",
+      "      jac: [ 2.132e-04  1.052e-04 ... -4.755e-03  7.408e-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 af3e04a54..8727d3caa 100644
--- a/dev/how-to-guides/fermion-operator.html
+++ b/dev/how-to-guides/fermion-operator.html
@@ -315,9 +315,9 @@ <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(0), des_a(3)): 0.5,
     (cre_b(1), des_b(5), cre_a(4)): 1+1j,
-    (cre_a(3), des_a(0)): -0.25
+    (cre_a(3), des_a(0)): -0.25,
+    (cre_a(0), des_a(3)): 0.5
 })
 </pre></div></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, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+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>
@@ -364,17 +364,17 @@ <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_b(2)): 0-0.25j,
-    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
     (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
-    (des_a(3), des_b(3)): 0.0625,
+    (cre_a(3), des_a(0)): -0.5,
     (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), des_a(3), des_b(3)): -0.125,
+    (cre_b(2)): 0-0.25j,
+    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
     (cre_a(0), des_a(3)): 1,
-    (cre_a(3), des_a(0)): -0.5,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
     (cre_b(1), des_b(5), cre_a(4)): 2+2j,
-    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
-    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625
+    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
+    (des_a(3), des_b(3)): 0.0625
 })
 </pre></div></div>
 </div>
@@ -403,17 +403,17 @@ <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_b(2)): -5,
-    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
     (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
-    (des_a(3), des_b(3)): 0-1.25j,
+    (cre_a(3), des_a(0)): 0+3j,
     (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), des_a(3), des_b(3)): 0+0.5j,
+    (cre_b(2)): -5,
+    (cre_a(3), des_a(0), cre_b(2)): -1,
     (cre_a(0), des_a(3)): 0-6j,
-    (cre_a(3), des_a(0)): 0+3j,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
     (cre_b(1), des_b(5), cre_a(4)): 12-12j,
-    (cre_a(3), des_a(0), cre_b(2)): -1,
-    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j
+    (cre_a(0), des_a(3), cre_b(2)): 2,
+    (des_a(3), des_b(3)): 0-1.25j
 })
 </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_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
     (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,
-    (cre_b(2), cre_a(0), des_a(3)): 2,
-    (des_b(3), des_a(3)): 0+1.25j,
-    (cre_a(0), des_a(3)): 0-6j,
+    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
     (cre_b(2), cre_a(3), des_a(0)): -1,
+    (cre_b(2)): -5,
     (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
     (cre_b(1), cre_a(4), des_b(5)): -12+12j,
-    (cre_b(2)): -5
+    (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,
+    (des_b(3), des_a(3)): 0+1.25j,
+    (cre_a(0), des_a(3)): 0-6j
 })
 </pre></div></div>
 </div>
@@ -514,7 +514,7 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="highlight"><pre>
 array([0.        +0.j        , 0.        +0.j        ,
        0.        +0.j        , 0.        +0.j        ,
-       0.13782298-0.09230004j, 0.        +0.j        ,
+       0.11570449-0.30035899j, 0.        +0.j        ,
        0.        +0.j        , 0.        +0.j        ,
        0.        +0.j        ])
 </pre></div></div>
diff --git a/dev/how-to-guides/fermion-operator.ipynb b/dev/how-to-guides/fermion-operator.ipynb
index fdd6d7e17..7ab8a7f21 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": "2024-12-05T03:21:50.640522Z",
-     "iopub.status.busy": "2024-12-05T03:21:50.640134Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.341324Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.340747Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.226768Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.226575Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.965603Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.964988Z"
     }
    },
    "outputs": [
@@ -40,9 +40,9 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(0), des_a(3)): 0.5,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
-       "    (cre_a(3), des_a(0)): -0.25\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": "2024-12-05T03:21:51.343521Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.343223Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.347243Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.346758Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.967881Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.967396Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.971660Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.971050Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+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": "2024-12-05T03:21:51.349301Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.348918Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.353277Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.352826Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.973761Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.973421Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.977951Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.977358Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_a(3), des_a(0)): -0.5,\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), des_a(3), des_b(3)): -0.125,\n",
+       "    (cre_b(2)): 0-0.25j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
        "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_a(3), des_a(0)): -0.5,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (des_a(3), des_b(3)): 0.0625\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.355312Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.354859Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.358956Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.358362Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.980267Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.979767Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.983877Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.983421Z"
     }
    },
    "outputs": [
@@ -181,17 +181,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(2)): -5,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\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), des_a(3), des_b(3)): 0+0.5j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.360954Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.360624Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.364593Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.364003Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.985909Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.985608Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.989535Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.989012Z"
     }
    },
    "outputs": [
@@ -231,16 +231,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\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",
-       "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (des_b(3), des_a(3)): 0+1.25j,\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(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_b(2)): -5,\n",
        "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2)): -5\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",
+       "    (des_b(3), des_a(3)): 0+1.25j,\n",
+       "    (cre_a(0), des_a(3)): 0-6j\n",
        "})"
       ]
      },
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.366539Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.366208Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.369122Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.368636Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.991463Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.991103Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.994167Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.993691Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.370816Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.370632Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.374623Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.374039Z"
+     "iopub.execute_input": "2024-12-05T04:47:30.995896Z",
+     "iopub.status.busy": "2024-12-05T04:47:30.995698Z",
+     "iopub.status.idle": "2024-12-05T04:47:30.999695Z",
+     "shell.execute_reply": "2024-12-05T04:47:30.999229Z"
     }
    },
    "outputs": [
@@ -341,10 +341,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.376696Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.376269Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.382038Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.381553Z"
+     "iopub.execute_input": "2024-12-05T04:47:31.001572Z",
+     "iopub.status.busy": "2024-12-05T04:47:31.001223Z",
+     "iopub.status.idle": "2024-12-05T04:47:31.007527Z",
+     "shell.execute_reply": "2024-12-05T04:47:31.007016Z"
     }
    },
    "outputs": [
@@ -353,7 +353,7 @@
       "text/plain": [
        "array([0.        +0.j        , 0.        +0.j        ,\n",
        "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.13782298-0.09230004j, 0.        +0.j        ,\n",
+       "       0.11570449-0.30035899j, 0.        +0.j        ,\n",
        "       0.        +0.j        , 0.        +0.j        ,\n",
        "       0.        +0.j        ])"
       ]
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:51.384119Z",
-     "iopub.status.busy": "2024-12-05T03:21:51.383694Z",
-     "iopub.status.idle": "2024-12-05T03:21:51.394533Z",
-     "shell.execute_reply": "2024-12-05T03:21:51.394082Z"
+     "iopub.execute_input": "2024-12-05T04:47:31.009412Z",
+     "iopub.status.busy": "2024-12-05T04:47:31.009117Z",
+     "iopub.status.idle": "2024-12-05T04:47:31.020986Z",
+     "shell.execute_reply": "2024-12-05T04:47:31.020399Z"
     }
    },
    "outputs": [
diff --git a/dev/how-to-guides/lucj.html b/dev/how-to-guides/lucj.html
index 0e5929fba..e3ac959da 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/tmpiqx5sdlb
 converged SCF energy = -77.8266321248744
-Parsing /tmp/tmpqg7_8pjf
-converged SCF energy = -77.8266321248744
-CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000
+CASCI E = -77.8742165643862  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_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_ovlp get_hcore  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 = -0.04758323886585067
-Energy at initialization: -77.87160024816282
+E(CCSD) = -77.87421536374035  E_corr = -0.04758323886584979
+Energy at initialization: -77.87160024816271
 </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: -77.87387392946924
-        x: [-1.152e+00  2.429e-04 ...  2.427e-04  1.287e-01]
+      fun: -77.87387393478726
+        x: [ 4.547e-04 -1.276e+00 ...  1.908e-04  1.287e-01]
       nit: 10
-      jac: [-3.126e-05 -2.416e-05 ...  4.263e-06  0.000e+00]
+      jac: [-8.527e-06 -7.105e-06 ...  1.847e-05  1.563e-05]
      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: -77.87363426554221
-        x: [-1.152e+00 -3.455e-05 ...  3.518e-02  2.561e-01]
+      fun: -77.87363426561933
+        x: [-5.097e-05 -1.276e+00 ...  3.521e-02  2.560e-01]
       nit: 5
-      jac: [-1.990e-05  4.547e-05 ...  5.684e-06 -5.684e-06]
+      jac: [-1.279e-05  8.527e-06 ...  0.000e+00 -2.842e-06]
      nfev: 329
      njev: 7
  hess_inv: &lt;46x46 LbfgsInvHessProduct with dtype=float64&gt;
@@ -565,31 +565,61 @@ <h2>Optimize with the linear method<a class="headerlink" href="#Optimize-with-th
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 Number of parameters: 46
- message: Convergence: Relative reduction of objective function &lt;= ftol.
- success: True
-     fun: -77.87363428118711
-       x: [-1.152e+00  7.876e-04 ...  3.488e-02  2.557e-01]
-     nit: 3
-     jac: [ 7.816e-07  1.160e-05 ... -1.013e-06 -8.020e-06]
-    nfev: 529
-    njev: 4
-  nlinop: 345
+ message: Stop: Total number of iterations reached limit.
+ success: False
+     fun: -77.87415887962864
+       x: [ 5.575e-03 -1.331e+00 ...  3.528e-02  3.174e-01]
+     nit: 10
+     jac: [ 3.935e-05  7.358e-06 ... -2.139e-04 -1.046e-04]
+    nfev: 1267
+    njev: 10
+  nlinop: 807
 
 Iteration 1
-    Energy: -77.87363196954891
-    Norm of gradient: 0.0010575938908307025
-    Regularization hyperparameter: 0.001761897637537816
-    Variation hyperparameter: 0.9990810043136625
+    Energy: -77.87362685711526
+    Norm of gradient: 0.001855901915920389
+    Regularization hyperparameter: 0.0006311432653366777
+    Variation hyperparameter: 0.9822442645562184
 Iteration 2
-    Energy: -77.8736342801622
-    Norm of gradient: 6.770421184784103e-05
-    Regularization hyperparameter: 0.001761897637537816
-    Variation hyperparameter: 0.9990810043136625
+    Energy: -77.87363310271725
+    Norm of gradient: 0.00030252117985897243
+    Regularization hyperparameter: 0.017917228638547493
+    Variation hyperparameter: 0.9822715295787552
 Iteration 3
-    Energy: -77.87363428118711
-    Norm of gradient: 5.91431234347536e-05
-    Regularization hyperparameter: 1.826121241130568
-    Variation hyperparameter: 0.9998395119356727
+    Energy: -77.87363465185152
+    Norm of gradient: 0.00013693848943698868
+    Regularization hyperparameter: 0.0016125257073217676
+    Variation hyperparameter: 0.9796823873521728
+Iteration 4
+    Energy: -77.87367036227928
+    Norm of gradient: 0.0036903600525447777
+    Regularization hyperparameter: 0.00023737584156002583
+    Variation hyperparameter: 0.9797942563603614
+Iteration 5
+    Energy: -77.87367575401149
+    Norm of gradient: 0.0032559906379786073
+    Regularization hyperparameter: 1.028498765850173
+    Variation hyperparameter: 0.9796914690528229
+Iteration 6
+    Energy: -77.87368004450491
+    Norm of gradient: 0.0029155790648158287
+    Regularization hyperparameter: 1.028498765850173
+    Variation hyperparameter: 0.9796914690528229
+Iteration 7
+    Energy: -77.8739817406614
+    Norm of gradient: 0.005990163908565813
+    Regularization hyperparameter: 0.001147509641622838
+    Variation hyperparameter: 0.8996245760543174
+Iteration 8
+    Energy: -77.87414523157764
+    Norm of gradient: 0.0018668421854928312
+    Regularization hyperparameter: 0.0008331180627833742
+    Variation hyperparameter: 0.8998205846301155
+Iteration 9
+    Energy: -77.8741576272094
+    Norm of gradient: 0.0006038689751939719
+    Regularization hyperparameter: 0.00025281008523048225
+    Variation hyperparameter: 0.9027648650557756
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/lucj.ipynb b/dev/how-to-guides/lucj.ipynb
index e80c1f706..d69f9970c 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": "2024-12-05T03:21:53.113886Z",
-     "iopub.status.busy": "2024-12-05T03:21:53.113685Z",
-     "iopub.status.idle": "2024-12-05T03:21:54.115496Z",
-     "shell.execute_reply": "2024-12-05T03:21:54.114824Z"
+     "iopub.execute_input": "2024-12-05T04:47:33.052758Z",
+     "iopub.status.busy": "2024-12-05T04:47:33.052570Z",
+     "iopub.status.idle": "2024-12-05T04:47:34.088439Z",
+     "shell.execute_reply": "2024-12-05T04:47:34.087780Z"
     }
    },
    "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/tmpqg7_8pjf\n",
+      "Parsing /tmp/tmpiqx5sdlb\n",
       "converged SCF energy = -77.8266321248744\n"
      ]
     },
@@ -42,7 +42,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_ovlp get_hcore  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": "2024-12-05T03:21:54.118487Z",
-     "iopub.status.busy": "2024-12-05T03:21:54.117857Z",
-     "iopub.status.idle": "2024-12-05T03:21:54.189316Z",
-     "shell.execute_reply": "2024-12-05T03:21:54.188746Z"
+     "iopub.execute_input": "2024-12-05T04:47:34.091238Z",
+     "iopub.status.busy": "2024-12-05T04:47:34.090881Z",
+     "iopub.status.idle": "2024-12-05T04:47:34.163484Z",
+     "shell.execute_reply": "2024-12-05T04:47:34.162860Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374029  E_corr = -0.04758323886585067\n"
+      "E(CCSD) = -77.87421536374035  E_corr = -0.04758323886584979\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.87160024816282\n"
+      "Energy at initialization: -77.87160024816271\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:21:54.192242Z",
-     "iopub.status.busy": "2024-12-05T03:21:54.191660Z",
-     "iopub.status.idle": "2024-12-05T03:23:41.886254Z",
-     "shell.execute_reply": "2024-12-05T03:23:41.885678Z"
+     "iopub.execute_input": "2024-12-05T04:47:34.166386Z",
+     "iopub.status.busy": "2024-12-05T04:47:34.166100Z",
+     "iopub.status.idle": "2024-12-05T04:49:19.368740Z",
+     "shell.execute_reply": "2024-12-05T04:49:19.368156Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392946924\n",
-      "        x: [-1.152e+00  2.429e-04 ...  2.427e-04  1.287e-01]\n",
+      "      fun: -77.87387393478726\n",
+      "        x: [ 4.547e-04 -1.276e+00 ...  1.908e-04  1.287e-01]\n",
       "      nit: 10\n",
-      "      jac: [-3.126e-05 -2.416e-05 ...  4.263e-06  0.000e+00]\n",
+      "      jac: [-8.527e-06 -7.105e-06 ...  1.847e-05  1.563e-05]\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": "2024-12-05T03:23:41.889131Z",
-     "iopub.status.busy": "2024-12-05T03:23:41.888857Z",
-     "iopub.status.idle": "2024-12-05T03:24:18.451311Z",
-     "shell.execute_reply": "2024-12-05T03:24:18.450673Z"
+     "iopub.execute_input": "2024-12-05T04:49:19.372489Z",
+     "iopub.status.busy": "2024-12-05T04:49:19.372004Z",
+     "iopub.status.idle": "2024-12-05T04:49:55.323205Z",
+     "shell.execute_reply": "2024-12-05T04:49:55.322633Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426554221\n",
-      "        x: [-1.152e+00 -3.455e-05 ...  3.518e-02  2.561e-01]\n",
+      "      fun: -77.87363426561933\n",
+      "        x: [-5.097e-05 -1.276e+00 ...  3.521e-02  2.560e-01]\n",
       "      nit: 5\n",
-      "      jac: [-1.990e-05  4.547e-05 ...  5.684e-06 -5.684e-06]\n",
+      "      jac: [-1.279e-05  8.527e-06 ...  0.000e+00 -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": "2024-12-05T03:24:18.455061Z",
-     "iopub.status.busy": "2024-12-05T03:24:18.454107Z",
-     "iopub.status.idle": "2024-12-05T03:24:37.881300Z",
-     "shell.execute_reply": "2024-12-05T03:24:37.880651Z"
+     "iopub.execute_input": "2024-12-05T04:49:55.325870Z",
+     "iopub.status.busy": "2024-12-05T04:49:55.325412Z",
+     "iopub.status.idle": "2024-12-05T04:50:36.439220Z",
+     "shell.execute_reply": "2024-12-05T04:50:36.438634Z"
     }
    },
    "outputs": [
@@ -326,31 +326,61 @@
      "output_type": "stream",
      "text": [
       "Number of parameters: 46\n",
-      " message: Convergence: Relative reduction of objective function <= ftol.\n",
-      " success: True\n",
-      "     fun: -77.87363428118711\n",
-      "       x: [-1.152e+00  7.876e-04 ...  3.488e-02  2.557e-01]\n",
-      "     nit: 3\n",
-      "     jac: [ 7.816e-07  1.160e-05 ... -1.013e-06 -8.020e-06]\n",
-      "    nfev: 529\n",
-      "    njev: 4\n",
-      "  nlinop: 345\n",
+      " message: Stop: Total number of iterations reached limit.\n",
+      " success: False\n",
+      "     fun: -77.87415887962864\n",
+      "       x: [ 5.575e-03 -1.331e+00 ...  3.528e-02  3.174e-01]\n",
+      "     nit: 10\n",
+      "     jac: [ 3.935e-05  7.358e-06 ... -2.139e-04 -1.046e-04]\n",
+      "    nfev: 1267\n",
+      "    njev: 10\n",
+      "  nlinop: 807\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363196954891\n",
-      "    Norm of gradient: 0.0010575938908307025\n",
-      "    Regularization hyperparameter: 0.001761897637537816\n",
-      "    Variation hyperparameter: 0.9990810043136625\n",
+      "    Energy: -77.87362685711526\n",
+      "    Norm of gradient: 0.001855901915920389\n",
+      "    Regularization hyperparameter: 0.0006311432653366777\n",
+      "    Variation hyperparameter: 0.9822442645562184\n",
       "Iteration 2\n",
-      "    Energy: -77.8736342801622\n",
-      "    Norm of gradient: 6.770421184784103e-05\n",
-      "    Regularization hyperparameter: 0.001761897637537816\n",
-      "    Variation hyperparameter: 0.9990810043136625\n",
+      "    Energy: -77.87363310271725\n",
+      "    Norm of gradient: 0.00030252117985897243\n",
+      "    Regularization hyperparameter: 0.017917228638547493\n",
+      "    Variation hyperparameter: 0.9822715295787552\n",
       "Iteration 3\n",
-      "    Energy: -77.87363428118711\n",
-      "    Norm of gradient: 5.91431234347536e-05\n",
-      "    Regularization hyperparameter: 1.826121241130568\n",
-      "    Variation hyperparameter: 0.9998395119356727\n"
+      "    Energy: -77.87363465185152\n",
+      "    Norm of gradient: 0.00013693848943698868\n",
+      "    Regularization hyperparameter: 0.0016125257073217676\n",
+      "    Variation hyperparameter: 0.9796823873521728\n",
+      "Iteration 4\n",
+      "    Energy: -77.87367036227928\n",
+      "    Norm of gradient: 0.0036903600525447777\n",
+      "    Regularization hyperparameter: 0.00023737584156002583\n",
+      "    Variation hyperparameter: 0.9797942563603614\n",
+      "Iteration 5\n",
+      "    Energy: -77.87367575401149\n",
+      "    Norm of gradient: 0.0032559906379786073\n",
+      "    Regularization hyperparameter: 1.028498765850173\n",
+      "    Variation hyperparameter: 0.9796914690528229\n",
+      "Iteration 6\n",
+      "    Energy: -77.87368004450491\n",
+      "    Norm of gradient: 0.0029155790648158287\n",
+      "    Regularization hyperparameter: 1.028498765850173\n",
+      "    Variation hyperparameter: 0.9796914690528229\n",
+      "Iteration 7\n",
+      "    Energy: -77.8739817406614\n",
+      "    Norm of gradient: 0.005990163908565813\n",
+      "    Regularization hyperparameter: 0.001147509641622838\n",
+      "    Variation hyperparameter: 0.8996245760543174\n",
+      "Iteration 8\n",
+      "    Energy: -77.87414523157764\n",
+      "    Norm of gradient: 0.0018668421854928312\n",
+      "    Regularization hyperparameter: 0.0008331180627833742\n",
+      "    Variation hyperparameter: 0.8998205846301155\n",
+      "Iteration 9\n",
+      "    Energy: -77.8741576272094\n",
+      "    Norm of gradient: 0.0006038689751939719\n",
+      "    Regularization hyperparameter: 0.00025281008523048225\n",
+      "    Variation hyperparameter: 0.9027648650557756\n"
      ]
     }
    ],
diff --git a/dev/how-to-guides/qiskit-circuits.html b/dev/how-to-guides/qiskit-circuits.html
index 17fcc1693..5e56c4eac 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 0x7fc434e2cfa0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f031521b910&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 0x7fc434e2ca60&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f031521a590&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 0x7fc434e2e410&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f0315bf0070&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 0x7fc434e2c400&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f031521a5c0&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 0x7fc435723a60&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f031592f400&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 0x7fc434e2efb0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f031521ac80&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 0x7fc435615c30&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f031521b010&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 0x7fc435723460&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f0315bf39d0&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 482021668..2196b445e 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": "2024-12-05T03:24:39.456445Z",
-     "iopub.status.busy": "2024-12-05T03:24:39.456253Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.155805Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.155276Z"
+     "iopub.execute_input": "2024-12-05T04:50:38.336473Z",
+     "iopub.status.busy": "2024-12-05T04:50:38.336280Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.070125Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.069579Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.158319Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.157923Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.783095Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.782523Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.072600Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.072144Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.668193Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.667540Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.785611Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.784914Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.838801Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.838179Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.670961Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.670111Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.727231Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.726569Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.840795Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.840596Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.845007Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.844439Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.729735Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.729386Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.733779Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.733276Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2cfa0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521b910>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.846845Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.846651Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.851609Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.851021Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.735886Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.735487Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.740764Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.740173Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2ca60>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521a590>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.853466Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.853274Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.858068Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.857469Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.743192Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.742782Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.747601Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.747124Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2e410>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f0315bf0070>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.860035Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.859691Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.864104Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.863518Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.749484Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.749269Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.753884Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.753313Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2c400>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521a5c0>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.865967Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.865637Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.869985Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.869528Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.755940Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.755577Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.760094Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.759612Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc435723a60>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031592f400>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.872043Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.871604Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.876834Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.876270Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.761841Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.761647Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.767034Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.766447Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc434e2efb0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521ac80>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.878795Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.878432Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.883674Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.883188Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.769107Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.768908Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.774806Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.774227Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc435615c30>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f031521b010>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:40.885608Z",
-     "iopub.status.busy": "2024-12-05T03:24:40.885242Z",
-     "iopub.status.idle": "2024-12-05T03:24:40.890580Z",
-     "shell.execute_reply": "2024-12-05T03:24:40.890136Z"
+     "iopub.execute_input": "2024-12-05T04:50:39.777047Z",
+     "iopub.status.busy": "2024-12-05T04:50:39.776647Z",
+     "iopub.status.idle": "2024-12-05T04:50:39.782265Z",
+     "shell.execute_reply": "2024-12-05T04:50:39.781793Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc435723460>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f0315bf39d0>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/how-to-guides/qiskit-sampler.html b/dev/how-to-guides/qiskit-sampler.html
index 1e2cce6f5..e4263d817 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 = -108.835236570775
 norb = 14
 nelec = (3, 3)
-E(CCSD) = -108.9630419334856  E_corr = -0.1278053627110059
+E(CCSD) = -108.9630419334856  E_corr = -0.1278053627110061
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
@@ -483,7 +483,7 @@ <h3>Sampling from an LUCJ circuit for a closed-shell molecule<a class="headerlin
  &#39;0000000001011000000000010110&#39;: 10,
  &#39;0001000001010000000000000111&#39;: 5,
  &#39;0000000001011000100000000110&#39;: 4,
- &#39;0100000000100100000000000111&#39;: 3,
+ &#39;0100000001001000000000000111&#39;: 3,
  &#39;0000000000011100100000001100&#39;: 3,
  &#39;0010000000011000000000010110&#39;: 3}
 </pre></div></div>
@@ -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 = -75.3484557063616
+SCF energy = -75.3484557067739
 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) = -75.4561973913865  E_corr = -0.1077416850249517
+E(UCCSD) = -75.45619739131376  E_corr = -0.1077416845398132
 </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 f1cee1268..544fa4f8a 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": "2024-12-05T03:24:42.786996Z",
-     "iopub.status.busy": "2024-12-05T03:24:42.786810Z",
-     "iopub.status.idle": "2024-12-05T03:24:43.473452Z",
-     "shell.execute_reply": "2024-12-05T03:24:43.472896Z"
+     "iopub.execute_input": "2024-12-05T04:50:41.796420Z",
+     "iopub.status.busy": "2024-12-05T04:50:41.796235Z",
+     "iopub.status.idle": "2024-12-05T04:50:42.529490Z",
+     "shell.execute_reply": "2024-12-05T04:50:42.528818Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:43.476028Z",
-     "iopub.status.busy": "2024-12-05T03:24:43.475564Z",
-     "iopub.status.idle": "2024-12-05T03:24:43.538662Z",
-     "shell.execute_reply": "2024-12-05T03:24:43.538071Z"
+     "iopub.execute_input": "2024-12-05T04:50:42.531917Z",
+     "iopub.status.busy": "2024-12-05T04:50:42.531561Z",
+     "iopub.status.idle": "2024-12-05T04:50:42.597274Z",
+     "shell.execute_reply": "2024-12-05T04:50:42.596712Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:43.540921Z",
-     "iopub.status.busy": "2024-12-05T03:24:43.540416Z",
-     "iopub.status.idle": "2024-12-05T03:24:43.825014Z",
-     "shell.execute_reply": "2024-12-05T03:24:43.824381Z"
+     "iopub.execute_input": "2024-12-05T04:50:42.599625Z",
+     "iopub.status.busy": "2024-12-05T04:50:42.599248Z",
+     "iopub.status.idle": "2024-12-05T04:50:42.890209Z",
+     "shell.execute_reply": "2024-12-05T04:50:42.889660Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334856  E_corr = -0.1278053627110059\n"
+      "E(CCSD) = -108.9630419334856  E_corr = -0.1278053627110061\n"
      ]
     },
     {
@@ -194,7 +194,7 @@
        " '0000000001011000000000010110': 10,\n",
        " '0001000001010000000000000111': 5,\n",
        " '0000000001011000100000000110': 4,\n",
-       " '0100000000100100000000000111': 3,\n",
+       " '0100000001001000000000000111': 3,\n",
        " '0000000000011100100000001100': 3,\n",
        " '0010000000011000000000010110': 3}"
       ]
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:43.827282Z",
-     "iopub.status.busy": "2024-12-05T03:24:43.826768Z",
-     "iopub.status.idle": "2024-12-05T03:24:44.368732Z",
-     "shell.execute_reply": "2024-12-05T03:24:44.368099Z"
+     "iopub.execute_input": "2024-12-05T04:50:42.892649Z",
+     "iopub.status.busy": "2024-12-05T04:50:42.892132Z",
+     "iopub.status.idle": "2024-12-05T04:50:43.440269Z",
+     "shell.execute_reply": "2024-12-05T04:50:43.439652Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557063616\n"
+      "SCF energy = -75.3484557067739\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.4561973913865  E_corr = -0.1077416850249517\n"
+      "E(UCCSD) = -75.45619739131376  E_corr = -0.1077416845398132\n"
      ]
     },
     {
diff --git a/dev/searchindex.js b/dev/searchindex.js
index 5b9a1003e..1e7d2ecb9 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]], "apply_unitary() (in module ffsim)": [[0, "ffsim.apply_unitary", false]], "approx_eq() (in module ffsim)": [[0, "ffsim.approx_eq", false]], "assert_allclose_up_to_global_phase() (in module ffsim.testing)": [[6, "ffsim.testing.assert_allclose_up_to_global_phase", false]], "atom (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.atom", false]], "basis (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.basis", false]], "beta (ffsim.spin attribute)": [[0, "ffsim.Spin.BETA", false]], "bit_array (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.BIT_ARRAY", false]], "bitstringtype (class in ffsim)": [[0, "ffsim.BitstringType", false]], "c (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.c", false]], "ccsd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_energy", false]], "ccsd_t1 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t1", false]], "ccsd_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t2", false]], "cisd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_energy", false]], "cisd_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_vec", false]], "coeffs (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.coeffs", false]], "conserves_particle_number() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_particle_number", false]], "conserves_spin_z() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_spin_z", false]], "constant (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.constant", false]], "constant (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.constant", false]], "constant (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.constant", false]], "constant (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.constant", 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.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.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.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.from_t_amplitudes", 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]], "from_ucj_op() (ffsim.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.from_ucj_op", 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.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.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.ucjanglesopspinbalanced property)": [[0, "ffsim.UCJAnglesOpSpinBalanced.n_reps", 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]], 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[[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, 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"ffsim.MolecularData.ccsd_t2", false]], "cisd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_energy", false]], "cisd_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_vec", false]], "coeffs (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.coeffs", false]], "conserves_particle_number() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_particle_number", false]], "conserves_spin_z() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_spin_z", false]], "constant (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.constant", false]], "constant (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.constant", false]], "constant (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.constant", false]], "constant (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.constant", 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.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.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.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.from_t_amplitudes", 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]], "from_ucj_op() (ffsim.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.from_ucj_op", 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.ucjanglesopspinbalanced static method)": [[0, "ffsim.UCJAnglesOpSpinBalanced.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.ucjanglesopspinbalanced property)": [[0, "ffsim.UCJAnglesOpSpinBalanced.n_reps", 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)": 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\ No newline at end of file
diff --git a/dev/tutorials/double-factorized-trotter.html b/dev/tutorials/double-factorized-trotter.html
index 0c1fd8e46..5d877c3c0 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: 0.03668541730983477
+Maximum error in a tensor entry: 0.036685417309835655
 </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: 0.940243511515908
+Fidelity of Trotter-evolved state with exact state: 0.9402384003985698
 </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: 0.9985212854201858
+Fidelity of Trotter-evolved state with exact state: 0.9985210983501976
 </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: 0.9985212854202294
+Fidelity of Trotter-evolved state with exact state: 0.9985210983500586
 </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: 0.9996731164188969
+Fidelity of Trotter-evolved state with exact state: 0.9996731173183583
 </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 ff0fcf662..8ee8fffb2 100644
--- a/dev/tutorials/double-factorized-trotter.ipynb
+++ b/dev/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
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    "metadata": {
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-     "iopub.status.idle": "2024-12-05T03:24:46.676204Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.675632Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.060715Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.060524Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.838950Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.838311Z"
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    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
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-     "iopub.status.busy": "2024-12-05T03:24:46.678465Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.683627Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.683009Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.842464Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.841892Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.846401Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.845830Z"
     }
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    "outputs": [],
@@ -106,10 +106,10 @@
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    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:24:46.685803Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.685344Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.689861Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.689405Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.848668Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.848340Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.852870Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.852337Z"
     }
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    "outputs": [
@@ -172,10 +172,10 @@
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    "metadata": {
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-     "iopub.status.idle": "2024-12-05T03:24:46.695294Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.694799Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.855132Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.854603Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.859029Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.858493Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
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-     "iopub.execute_input": "2024-12-05T03:24:46.697235Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.696822Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.700442Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.699970Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.860796Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.860615Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.864240Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.863712Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.702448Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.702098Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.720392Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.719899Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.866157Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.865817Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.887001Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.886493Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.03668541730983477\n"
+      "Maximum error in a tensor entry: 0.036685417309835655\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
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-     "iopub.status.idle": "2024-12-05T03:24:46.726146Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.725562Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.889065Z",
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+     "iopub.status.idle": "2024-12-05T04:50:45.892958Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.892470Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
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-     "iopub.status.idle": "2024-12-05T03:24:46.731309Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.730691Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.895111Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.894751Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.898688Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.898088Z"
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    "outputs": [],
@@ -400,10 +400,10 @@
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     "execution": {
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-     "iopub.status.idle": "2024-12-05T03:24:46.833048Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.832493Z"
+     "iopub.execute_input": "2024-12-05T04:50:45.900714Z",
+     "iopub.status.busy": "2024-12-05T04:50:45.900352Z",
+     "iopub.status.idle": "2024-12-05T04:50:45.998404Z",
+     "shell.execute_reply": "2024-12-05T04:50:45.997725Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.836109Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.835316Z",
-     "iopub.status.idle": "2024-12-05T03:24:46.884721Z",
-     "shell.execute_reply": "2024-12-05T03:24:46.884124Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.001119Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.000556Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.049519Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.048970Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.940243511515908\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402384003985698\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:46.886638Z",
-     "iopub.status.busy": "2024-12-05T03:24:46.886293Z",
-     "iopub.status.idle": "2024-12-05T03:24:47.094658Z",
-     "shell.execute_reply": "2024-12-05T03:24:47.094144Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.051515Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.051316Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.261990Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.261346Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212854201858\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985210983501976\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:47.096768Z",
-     "iopub.status.busy": "2024-12-05T03:24:47.096400Z",
-     "iopub.status.idle": "2024-12-05T03:24:47.227776Z",
-     "shell.execute_reply": "2024-12-05T03:24:47.227137Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.264192Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.263853Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.389718Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.389062Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985212854202294\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985210983500586\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-12-05T03:24:47.230002Z",
-     "iopub.status.busy": "2024-12-05T03:24:47.229543Z",
-     "iopub.status.idle": "2024-12-05T03:24:47.329290Z",
-     "shell.execute_reply": "2024-12-05T03:24:47.328789Z"
+     "iopub.execute_input": "2024-12-05T04:50:46.392016Z",
+     "iopub.status.busy": "2024-12-05T04:50:46.391656Z",
+     "iopub.status.idle": "2024-12-05T04:50:46.493627Z",
+     "shell.execute_reply": "2024-12-05T04:50:46.493019Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731164188969\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731173183583\n"
      ]
     }
    ],