From ce7ad7d9154d6c052ddcb7e5659932ce0c06f2f3 Mon Sep 17 00:00:00 2001
From: kevinsung <kevinsung@users.noreply.github.com>
Date: Thu, 19 Oct 2023 14:42:41 +0000
Subject: [PATCH] deploy: 38fb8b4d62b77754e0157a638ad973e26ae76b34

---
 .doctrees/environment.pickle                  | Bin 1567029 -> 1566939 bytes
 .../nbsphinx/tutorials/01-introduction.ipynb  |  24 ++--
 .../tutorials/02-orbital-rotation.ipynb       |  32 ++---
 .../tutorials/03-double-factorized.ipynb      | 134 +++++++++---------
 .doctrees/nbsphinx/tutorials/04-lucj.ipynb    |  64 ++++-----
 .../tutorials/05-fermion-operator.ipynb       | 124 ++++++++--------
 .../tutorials/03-double-factorized.doctree    | Bin 54253 -> 54325 bytes
 .doctrees/tutorials/04-lucj.doctree           | Bin 38069 -> 38069 bytes
 .../tutorials/05-fermion-operator.doctree     | Bin 41325 -> 41385 bytes
 searchindex.js                                |   2 +-
 tutorials/01-introduction.ipynb               |  24 ++--
 tutorials/02-orbital-rotation.ipynb           |  32 ++---
 tutorials/03-double-factorized.html           |  54 +++----
 tutorials/03-double-factorized.ipynb          | 134 +++++++++---------
 tutorials/04-lucj.html                        |  32 ++---
 tutorials/04-lucj.ipynb                       |  64 ++++-----
 tutorials/05-fermion-operator.html            |  52 +++----
 tutorials/05-fermion-operator.ipynb           | 124 ++++++++--------
 18 files changed, 448 insertions(+), 448 deletions(-)

diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
index c646286bc7e3f011719ce05e409d88e372906e1c..ee0cba34d5996e10ec08d26935b1314a88104ea0 100644
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diff --git a/.doctrees/nbsphinx/tutorials/01-introduction.ipynb b/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
index 38472ac7d..b46f68b04 100644
--- a/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
+++ b/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:34.339625Z",
-     "iopub.status.busy": "2023-10-19T02:46:34.339200Z",
-     "iopub.status.idle": "2023-10-19T02:46:34.631991Z",
-     "shell.execute_reply": "2023-10-19T02:46:34.631357Z"
+     "iopub.execute_input": "2023-10-19T14:39:55.333137Z",
+     "iopub.status.busy": "2023-10-19T14:39:55.332800Z",
+     "iopub.status.idle": "2023-10-19T14:39:55.620635Z",
+     "shell.execute_reply": "2023-10-19T14:39:55.620092Z"
     }
    },
    "outputs": [],
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:34.635817Z",
-     "iopub.status.busy": "2023-10-19T02:46:34.635204Z",
-     "iopub.status.idle": "2023-10-19T02:46:34.639086Z",
-     "shell.execute_reply": "2023-10-19T02:46:34.638624Z"
+     "iopub.execute_input": "2023-10-19T14:39:55.625193Z",
+     "iopub.status.busy": "2023-10-19T14:39:55.624119Z",
+     "iopub.status.idle": "2023-10-19T14:39:55.629183Z",
+     "shell.execute_reply": "2023-10-19T14:39:55.628710Z"
     }
    },
    "outputs": [],
@@ -93,10 +93,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:34.642084Z",
-     "iopub.status.busy": "2023-10-19T02:46:34.641488Z",
-     "iopub.status.idle": "2023-10-19T02:46:34.644420Z",
-     "shell.execute_reply": "2023-10-19T02:46:34.643975Z"
+     "iopub.execute_input": "2023-10-19T14:39:55.633035Z",
+     "iopub.status.busy": "2023-10-19T14:39:55.632089Z",
+     "iopub.status.idle": "2023-10-19T14:39:55.636031Z",
+     "shell.execute_reply": "2023-10-19T14:39:55.635577Z"
     }
    },
    "outputs": [],
diff --git a/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb b/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
index 3d8e6a9aa..be6e21fe5 100644
--- a/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
+++ b/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
@@ -43,10 +43,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.167922Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.167518Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.461097Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.460456Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.127490Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.127250Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.415242Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.414684Z"
     }
    },
    "outputs": [],
@@ -111,10 +111,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.464540Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.464254Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.489805Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.489257Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.419456Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.418437Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.443882Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.443356Z"
     }
    },
    "outputs": [],
@@ -160,10 +160,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.492991Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.492785Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.503612Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.503068Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.447969Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.447021Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.458057Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.457553Z"
     }
    },
    "outputs": [],
@@ -203,10 +203,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.506429Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.506212Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.511130Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.510597Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.462338Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.461004Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.467050Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.466562Z"
     }
    },
    "outputs": [],
diff --git a/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb b/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
index c719b9884..2cb8abca1 100644
--- a/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
+++ b/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
@@ -43,10 +43,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.188517Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.188110Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.578982Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.578351Z"
+     "iopub.execute_input": "2023-10-19T14:39:58.908837Z",
+     "iopub.status.busy": "2023-10-19T14:39:58.908499Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.292292Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.291735Z"
     }
    },
    "outputs": [
@@ -93,10 +93,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.591785Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.591349Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.597111Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.596658Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.296046Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.295505Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.303680Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.303208Z"
     }
    },
    "outputs": [
@@ -111,44 +111,44 @@
       " [-3.07220771e-16 -6.77238770e-01]]\n",
       "\n",
       "Two-body tensor:\n",
-      "[[[[5.23173938e-01 1.57437591e-16]\n",
-      "   [1.57437591e-16 5.33545754e-01]]\n",
+      "[[[[5.23173938e-01 1.94289029e-16]\n",
+      "   [1.94289029e-16 5.33545754e-01]]\n",
       "\n",
-      "  [[2.12704463e-16 2.48240570e-01]\n",
-      "   [2.48240570e-01 1.61492903e-16]]]\n",
+      "  [[1.94289029e-16 2.48240570e-01]\n",
+      "   [2.48240570e-01 8.32667268e-17]]]\n",
       "\n",
       "\n",
-      " [[[2.12704463e-16 2.48240570e-01]\n",
-      "   [2.48240570e-01 1.61492903e-16]]\n",
+      " [[[1.94289029e-16 2.48240570e-01]\n",
+      "   [2.48240570e-01 8.32667268e-17]]\n",
       "\n",
-      "  [[5.33545754e-01 1.24884750e-16]\n",
-      "   [1.24884750e-16 5.53132024e-01]]]]\n",
+      "  [[5.33545754e-01 1.11022302e-16]\n",
+      "   [1.11022302e-16 5.53132024e-01]]]]\n",
       "\n",
       "Double-factorized representation\n",
       "--------------------------------\n",
       "One-body tensor:\n",
-      "[[-1.21318608e+00 -4.25870402e-16]\n",
-      " [-4.76015378e-16 -1.07792507e+00]]\n",
+      "[[-1.21318608e+00 -4.05183033e-16]\n",
+      " [-4.59876437e-16 -1.07792507e+00]]\n",
       "\n",
       "Diagonal Coulomb matrices:\n",
-      "[[[ 5.14653029e-01  5.33545754e-01]\n",
-      "  [ 5.33545754e-01  5.53132024e-01]]\n",
+      "[[[ 5.14653029e-001  5.33545754e-001]\n",
+      "  [ 5.33545754e-001  5.53132024e-001]]\n",
       "\n",
-      " [[ 2.48240570e-01 -2.48240570e-01]\n",
-      "  [-2.48240570e-01  2.48240570e-01]]\n",
+      " [[ 2.48240570e-001 -2.48240570e-001]\n",
+      "  [-2.48240570e-001  2.48240570e-001]]\n",
       "\n",
-      " [[ 1.50800163e-59 -3.58462611e-31]\n",
-      "  [-3.58462611e-31  8.52090881e-03]]]\n",
+      " [[ 5.96958401e-121 -7.13206008e-062]\n",
+      "  [-7.13206008e-062  8.52090881e-003]]]\n",
       "\n",
       "Orbital rotations:\n",
-      "[[[-1.00000000e+00  8.24520980e-15]\n",
-      "  [ 8.24520980e-15  1.00000000e+00]]\n",
+      "[[[-1.00000000e+00  4.25128053e-15]\n",
+      "  [ 4.25128053e-15  1.00000000e+00]]\n",
       "\n",
-      " [[-7.07106781e-01 -7.07106781e-01]\n",
-      "  [ 7.07106781e-01 -7.07106781e-01]]\n",
+      " [[ 7.07106781e-01 -7.07106781e-01]\n",
+      "  [-7.07106781e-01 -7.07106781e-01]]\n",
       "\n",
-      " [[ 6.48603030e-15 -1.00000000e+00]\n",
-      "  [-1.00000000e+00 -6.48603030e-15]]]\n"
+      " [[ 2.89310728e-30 -1.00000000e+00]\n",
+      "  [-1.00000000e+00 -2.89310728e-30]]]\n"
      ]
     }
    ],
@@ -227,10 +227,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.599710Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.599404Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.603693Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.603246Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.307553Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.306455Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.312345Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.311867Z"
     }
    },
    "outputs": [],
@@ -285,10 +285,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.606133Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.605839Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.609316Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.608866Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.315343Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.315133Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.319932Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.319386Z"
     }
    },
    "outputs": [],
@@ -325,10 +325,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.611974Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.611674Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.615968Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.615522Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.322653Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.322251Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.327160Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.326695Z"
     }
    },
    "outputs": [
@@ -336,7 +336,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Hartree Fock energy: -0.8377963825937088\n"
+      "Hartree Fock energy: -0.837796382593709\n"
      ]
     }
    ],
@@ -367,10 +367,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.618277Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.617987Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.629673Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.629147Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.329875Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.329325Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.339042Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.338412Z"
     }
    },
    "outputs": [
@@ -409,10 +409,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.632236Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.631901Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.639569Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.639118Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.341671Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.341479Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.349853Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.349232Z"
     }
    },
    "outputs": [
@@ -420,7 +420,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.999027574408349\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9990275744083491\n"
      ]
     }
    ],
@@ -450,10 +450,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.641776Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.641588Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.677756Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.677308Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.353772Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.353568Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.390939Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.389931Z"
     }
    },
    "outputs": [
@@ -461,7 +461,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109657\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109653\n"
      ]
     }
    ],
@@ -493,10 +493,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.680483Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.680136Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.707617Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.707180Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.393689Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.393490Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.425221Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.424460Z"
     }
    },
    "outputs": [
@@ -504,7 +504,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109657\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109653\n"
      ]
     }
    ],
@@ -535,10 +535,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.710858Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.710516Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.722585Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.722134Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.427658Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.427469Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.443022Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.442331Z"
     }
    },
    "outputs": [
@@ -546,7 +546,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9999999336740057\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9999999336740059\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/tutorials/04-lucj.ipynb b/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
index e3808175b..1d8185999 100644
--- a/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
+++ b/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
@@ -14,10 +14,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:40.679599Z",
-     "iopub.status.busy": "2023-10-19T02:46:40.679036Z",
-     "iopub.status.idle": "2023-10-19T02:46:41.408329Z",
-     "shell.execute_reply": "2023-10-19T02:46:41.407784Z"
+     "iopub.execute_input": "2023-10-19T14:40:01.376785Z",
+     "iopub.status.busy": "2023-10-19T14:40:01.376450Z",
+     "iopub.status.idle": "2023-10-19T14:40:01.984780Z",
+     "shell.execute_reply": "2023-10-19T14:40:01.984205Z"
     }
    },
    "outputs": [
@@ -25,14 +25,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.4456267643962\n"
+      "converged SCF energy = -77.4456267643961\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.6290254326717  E(CI) = -3.57322412553862  S^2 = 0.0000000\n"
+      "CASCI E = -77.6290254326717  E(CI) = -3.57322412553863  S^2 = 0.0000000\n"
      ]
     }
    ],
@@ -109,10 +109,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:41.411504Z",
-     "iopub.status.busy": "2023-10-19T02:46:41.411022Z",
-     "iopub.status.idle": "2023-10-19T02:46:41.957143Z",
-     "shell.execute_reply": "2023-10-19T02:46:41.956639Z"
+     "iopub.execute_input": "2023-10-19T14:40:01.990201Z",
+     "iopub.status.busy": "2023-10-19T14:40:01.988624Z",
+     "iopub.status.idle": "2023-10-19T14:40:02.504800Z",
+     "shell.execute_reply": "2023-10-19T14:40:02.504249Z"
     }
    },
    "outputs": [
@@ -120,14 +120,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.49387212754471  E_corr = -0.04824536314851378\n"
+      "E(CCSD) = -77.49387212754462  E_corr = -0.04824536314851573\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -77.46975600021688\n"
+      "Energy at initialialization: -77.46975600021692\n"
      ]
     }
    ],
@@ -177,10 +177,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:41.959995Z",
-     "iopub.status.busy": "2023-10-19T02:46:41.959612Z",
-     "iopub.status.idle": "2023-10-19T02:47:41.568598Z",
-     "shell.execute_reply": "2023-10-19T02:47:41.568053Z"
+     "iopub.execute_input": "2023-10-19T14:40:02.507719Z",
+     "iopub.status.busy": "2023-10-19T14:40:02.507477Z",
+     "iopub.status.idle": "2023-10-19T14:41:13.658634Z",
+     "shell.execute_reply": "2023-10-19T14:41:13.658109Z"
     }
    },
    "outputs": [
@@ -192,12 +192,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62901282341039\n",
-      "        x: [-2.372e-02  1.027e+00 ...  1.257e-01  2.370e-01]\n",
-      "      nit: 265\n",
-      "      jac: [ 2.842e-06  2.842e-05 ...  2.274e-05 -8.527e-06]\n",
-      "     nfev: 20878\n",
-      "     njev: 286\n",
+      "      fun: -77.62873343946598\n",
+      "        x: [-2.541e-01 -8.978e-02 ...  2.239e-01 -5.438e-01]\n",
+      "      nit: 329\n",
+      "      jac: [ 6.537e-05  3.098e-04 ...  2.956e-04 -1.734e-04]\n",
+      "     nfev: 25696\n",
+      "     njev: 352\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
@@ -252,10 +252,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:47:41.571164Z",
-     "iopub.status.busy": "2023-10-19T02:47:41.570955Z",
-     "iopub.status.idle": "2023-10-19T02:48:45.937231Z",
-     "shell.execute_reply": "2023-10-19T02:48:45.936737Z"
+     "iopub.execute_input": "2023-10-19T14:41:13.662631Z",
+     "iopub.status.busy": "2023-10-19T14:41:13.661664Z",
+     "iopub.status.idle": "2023-10-19T14:42:35.356542Z",
+     "shell.execute_reply": "2023-10-19T14:42:35.356016Z"
     }
    },
    "outputs": [
@@ -267,12 +267,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62857380046123\n",
-      "        x: [-9.474e-01 -7.735e-01 ... -1.104e+00 -6.212e-01]\n",
-      "      nit: 456\n",
-      "      jac: [-3.311e-04  5.016e-04 ...  1.791e-04 -4.462e-04]\n",
-      "     nfev: 22748\n",
-      "     njev: 484\n",
+      "      fun: -77.62881470757267\n",
+      "        x: [-3.795e+00 -1.386e+00 ... -4.020e-01  1.230e-01]\n",
+      "      nit: 585\n",
+      "      jac: [ 4.434e-04 -1.933e-04 ...  4.007e-04 -1.450e-04]\n",
+      "     nfev: 29422\n",
+      "     njev: 626\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
diff --git a/.doctrees/nbsphinx/tutorials/05-fermion-operator.ipynb b/.doctrees/nbsphinx/tutorials/05-fermion-operator.ipynb
index 1ae89228e..fa09bcb38 100644
--- a/.doctrees/nbsphinx/tutorials/05-fermion-operator.ipynb
+++ b/.doctrees/nbsphinx/tutorials/05-fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:47.720976Z",
-     "iopub.status.busy": "2023-10-19T02:48:47.720625Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.011002Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.010479Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.077633Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.077306Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.362479Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.361769Z"
     }
    },
    "outputs": [
@@ -76,10 +76,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.013922Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.013514Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.017207Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.016749Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.367296Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.366261Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.372138Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.371678Z"
     }
    },
    "outputs": [
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.019690Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.019374Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.023718Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.023278Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.375800Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.374921Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.381567Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.381116Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (des_a(3), des_b(3)): 0.0625,\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",
+       "    (cre_a(3), des_a(0)): -0.5,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
-       "    (cre_b(2)): 0-0.25j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
        "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_b(2)): 0-0.25j\n",
        "})"
       ]
      },
@@ -169,10 +169,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.027444Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.026559Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.032272Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.031808Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.385304Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.384396Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.390385Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.389901Z"
     }
    },
    "outputs": [
@@ -180,17 +180,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (des_a(3), des_b(3)): 0-1.25j,\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",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
        "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_b(2)): -5\n",
        "})"
       ]
      },
@@ -219,10 +219,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.036387Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.035466Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.040999Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.040538Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.394709Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.393740Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.399514Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.399055Z"
     }
    },
    "outputs": [
@@ -230,16 +230,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
        "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
-       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
-       "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
+       "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j,\n",
-       "    (cre_b(2)): -5,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_a(3), des_a(0)): 0+3j\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j\n",
        "})"
       ]
      },
@@ -264,10 +264,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.043752Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.043401Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.048074Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.047596Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.403183Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.402262Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.407487Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.407040Z"
     }
    },
    "outputs": [
@@ -297,10 +297,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.050711Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.050309Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.056567Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.056091Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.411097Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.410179Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.416471Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.416023Z"
     }
    },
    "outputs": [
@@ -340,21 +340,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.059325Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.058968Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.066273Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.065819Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.420049Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.419152Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.426669Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.426204Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.       +0.j        , 0.       +0.j        ,\n",
-       "       0.       +0.j        , 0.       +0.j        ,\n",
-       "       0.0035998+0.01708495j, 0.       +0.j        ,\n",
-       "       0.       +0.j        , 0.       +0.j        ,\n",
-       "       0.       +0.j        ])"
+       "array([0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.11889056-0.13114645j, 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -379,10 +379,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.069821Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.068935Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.080969Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.080523Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.430250Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.429345Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.441262Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.440811Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/tutorials/03-double-factorized.doctree b/.doctrees/tutorials/03-double-factorized.doctree
index 09a268958470c4732d6de095e733545c64265237..f54f0264cc79b035a48c5c453c4b6dc657f84e03 100644
GIT binary patch
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diff --git a/.doctrees/tutorials/04-lucj.doctree b/.doctrees/tutorials/04-lucj.doctree
index 0d816da2a3ace2a5fbd1d8f2ca0e74f724d9888b..58be5e64fe8270151e5826f7410519f24de103c5 100644
GIT binary patch
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diff --git a/.doctrees/tutorials/05-fermion-operator.doctree b/.doctrees/tutorials/05-fermion-operator.doctree
index 88213ce5c7c3fd4ab3ae49757e1b5eaf872f0d1a..d0a4efb328d4b5368e0747d4b5de5650ed8d6eec 100644
GIT binary patch
delta 1818
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diff --git a/searchindex.js b/searchindex.js
index a3f2df57d..70940076b 100644
--- a/searchindex.js
+++ b/searchindex.js
@@ -1 +1 @@
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"ffsim.contract.num_op_sum module": [[1, "module-ffsim.contract.num_op_sum"]], "ffsim.gates package": [[2, "ffsim-gates-package"]], "ffsim.gates.basic_gates module": [[2, "module-ffsim.gates.basic_gates"]], "ffsim.gates.diag_coulomb module": [[2, "module-ffsim.gates.diag_coulomb"]], "ffsim.gates.num_op_sum module": [[2, "module-ffsim.gates.num_op_sum"]], "ffsim.gates.orbital_rotation module": [[2, "module-ffsim.gates.orbital_rotation"]], "ffsim.hamiltonians package": [[3, "ffsim-hamiltonians-package"]], "ffsim.hamiltonians.double_factorized_hamiltonian module": [[3, "module-ffsim.hamiltonians.double_factorized_hamiltonian"]], "ffsim.hamiltonians.molecular_hamiltonian module": [[3, "module-ffsim.hamiltonians.molecular_hamiltonian"]], "ffsim.linalg package": [[4, "ffsim-linalg-package"]], "ffsim.linalg.double_factorized module": [[4, "module-ffsim.linalg.double_factorized"]], "ffsim.linalg.givens module": [[4, "module-ffsim.linalg.givens"]], "ffsim.linalg.linalg module": [[4, "module-ffsim.linalg.linalg"]], "ffsim.linalg.predicates module": [[4, "module-ffsim.linalg.predicates"]], "ffsim.protocols package": [[5, "ffsim-protocols-package"]], "ffsim.protocols.approximate_equality module": [[5, "module-ffsim.protocols.approximate_equality"]], "ffsim.protocols.linear_operator module": [[5, "module-ffsim.protocols.linear_operator"]], "ffsim.protocols.trace module": [[5, "module-ffsim.protocols.trace"]], "ffsim.trotter package": [[6, "ffsim-trotter-package"]], "ffsim.trotter.qdrift module": [[6, "module-ffsim.trotter.qdrift"]], "ffsim.trotter.trotter module": [[6, "module-ffsim.trotter.trotter"]], "ffsim.variational package": [[7, "ffsim-variational-package"]], "ffsim.variational.lucj module": [[7, "module-ffsim.variational.lucj"]], "ffsim": [[8, "ffsim"]], "API reference": [[9, "api-reference"]], "ffsim documentation": [[10, "ffsim-documentation"]], "Contents:": [[10, null], [16, null]], "Indices and tables": [[10, "indices-and-tables"]], "Introduction to ffsim": [[11, "Introduction-to-ffsim"]], "Orbital rotations and quadratic Hamiltonians": [[12, "Orbital-rotations-and-quadratic-Hamiltonians"]], "Orbital rotations": [[12, "Orbital-rotations"]], "Time evolution by a quadratic Hamiltonian": [[12, "Time-evolution-by-a-quadratic-Hamiltonian"]], "Diagonal Coulomb operators and double-factorized Trotter simulation": [[13, "Diagonal-Coulomb-operators-and-double-factorized-Trotter-simulation"]], "Double-factorized representation of the molecular Hamiltonian": [[13, "Double-factorized-representation-of-the-molecular-Hamiltonian"]], "Trotter simulation of the double-factorized Hamiltonian": [[13, "Trotter-simulation-of-the-double-factorized-Hamiltonian"]], "Brief background on Trotter-Suzuki formulas": [[13, "Brief-background-on-Trotter-Suzuki-formulas"]], "Implementing Trotter simulation of the double-factorized Hamiltonian": [[13, "Implementing-Trotter-simulation-of-the-double-factorized-Hamiltonian"]], "The local unitary cluster Jastrow (LUCJ) ansatz": [[14, "The-local-unitary-cluster-Jastrow-(LUCJ)-ansatz"], [14, "id1"]], "The unitary cluster Jastrow (UCJ) ansatz": [[14, "The-unitary-cluster-Jastrow-(UCJ)-ansatz"]], "The FermionOperator class": [[15, "The-FermionOperator-class"]], "Tutorials": [[16, "tutorials"]]}, "indexentries": {"fermionaction (class in ffsim.fermion_action)": [[0, "ffsim.fermion_action.FermionAction"]], "moleculardata (class in ffsim.molecular_data)": [[0, "ffsim.molecular_data.MolecularData"]], "action (ffsim.fermion_action.fermionaction attribute)": [[0, "ffsim.fermion_action.FermionAction.action"]], "cre() (in module ffsim.fermion_action)": [[0, "ffsim.fermion_action.cre"]], "cre_a() (in module ffsim.fermion_action)": [[0, "ffsim.fermion_action.cre_a"]], "cre_b() (in module ffsim.fermion_action)": [[0, "ffsim.fermion_action.cre_b"]], "des() (in module ffsim.fermion_action)": [[0, "ffsim.fermion_action.des"]], "des_a() (in module ffsim.fermion_action)": [[0, "ffsim.fermion_action.des_a"]], "des_b() (in module ffsim.fermion_action)": [[0, "ffsim.fermion_action.des_b"]], "dim() (in module ffsim.states)": [[0, "ffsim.states.dim"]], "dims() (in module ffsim.states)": [[0, "ffsim.states.dims"]], "expectation_power() (in module ffsim.wick)": [[0, "ffsim.wick.expectation_power"]], "expectation_product() (in module ffsim.wick)": [[0, "ffsim.wick.expectation_product"]], "ffsim": [[0, "module-ffsim"]], "ffsim.fermion_action": [[0, "module-ffsim.fermion_action"]], "ffsim.molecular_data": [[0, "module-ffsim.molecular_data"]], "ffsim.random": [[0, "module-ffsim.random"]], "ffsim.states": [[0, "module-ffsim.states"]], "ffsim.testing": [[0, "module-ffsim.testing"]], "ffsim.wick": [[0, "module-ffsim.wick"]], "module": [[0, "module-ffsim"], [0, "module-ffsim.fermion_action"], [0, "module-ffsim.molecular_data"], [0, "module-ffsim.random"], [0, "module-ffsim.states"], [0, "module-ffsim.testing"], [0, "module-ffsim.wick"], [1, "module-ffsim.contract"], [1, 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(in module ffsim.states)": [[0, "ffsim.states.one_hot"]], "orb (ffsim.fermion_action.fermionaction attribute)": [[0, "ffsim.fermion_action.FermionAction.orb"]], "random_antihermitian() (in module ffsim.random)": [[0, "ffsim.random.random_antihermitian"]], "random_hermitian() (in module ffsim.random)": [[0, "ffsim.random.random_hermitian"]], "random_nelec() (in module ffsim.testing)": [[0, "ffsim.testing.random_nelec"]], "random_occupied_orbitals() (in module ffsim.testing)": [[0, "ffsim.testing.random_occupied_orbitals"]], "random_orthogonal() (in module ffsim.random)": [[0, "ffsim.random.random_orthogonal"]], "random_real_symmetric_matrix() (in module ffsim.random)": [[0, "ffsim.random.random_real_symmetric_matrix"]], "random_special_orthogonal() (in module ffsim.random)": [[0, "ffsim.random.random_special_orthogonal"]], "random_statevector() (in module ffsim.random)": [[0, "ffsim.random.random_statevector"]], "random_t2_amplitudes() (in module ffsim.random)": [[0, 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ffsim.linalg.linalg)": [[4, "ffsim.linalg.linalg.expm_multiply_taylor"]], "ffsim.linalg": [[4, "module-ffsim.linalg"]], "ffsim.linalg.double_factorized": [[4, "module-ffsim.linalg.double_factorized"]], "ffsim.linalg.givens": [[4, "module-ffsim.linalg.givens"]], "ffsim.linalg.linalg": [[4, "module-ffsim.linalg.linalg"]], "ffsim.linalg.predicates": [[4, "module-ffsim.linalg.predicates"]], "givens_decomposition() (in module ffsim.linalg.givens)": [[4, "ffsim.linalg.givens.givens_decomposition"]], "is_antihermitian() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_antihermitian"]], "is_hermitian() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_hermitian"]], "is_orthogonal() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_orthogonal"]], "is_real_symmetric() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_real_symmetric"]], "is_special_orthogonal() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_special_orthogonal"]], "is_unitary() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_unitary"]], "lup() (in module ffsim.linalg.linalg)": [[4, "ffsim.linalg.linalg.lup"]], "modified_cholesky() (in module ffsim.linalg.double_factorized)": [[4, "ffsim.linalg.double_factorized.modified_cholesky"]], "optimal_diag_coulomb_mats() (in module ffsim.linalg.double_factorized)": [[4, "ffsim.linalg.double_factorized.optimal_diag_coulomb_mats"]], "zrotg() (in module ffsim.linalg.givens)": [[4, "ffsim.linalg.givens.zrotg"]], "supportsapproximateequality (class in ffsim.protocols.approximate_equality)": [[5, "ffsim.protocols.approximate_equality.SupportsApproximateEquality"]], "supportslinearoperator (class in ffsim.protocols.linear_operator)": [[5, "ffsim.protocols.linear_operator.SupportsLinearOperator"]], "supportstrace (class in ffsim.protocols.trace)": [[5, "ffsim.protocols.trace.SupportsTrace"]], "approx_eq() (in module ffsim.protocols.approximate_equality)": [[5, "ffsim.protocols.approximate_equality.approx_eq"]], "ffsim.protocols": [[5, "module-ffsim.protocols"]], "ffsim.protocols.approximate_equality": [[5, "module-ffsim.protocols.approximate_equality"]], "ffsim.protocols.linear_operator": [[5, "module-ffsim.protocols.linear_operator"]], "ffsim.protocols.trace": [[5, "module-ffsim.protocols.trace"]], "linear_operator() (in module ffsim.protocols.linear_operator)": [[5, "ffsim.protocols.linear_operator.linear_operator"]], "trace() (in module ffsim.protocols.trace)": [[5, "ffsim.protocols.trace.trace"]], "expectation_squared_diag_coulomb() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.expectation_squared_diag_coulomb"]], "ffsim.trotter": [[6, "module-ffsim.trotter"]], "ffsim.trotter.qdrift": [[6, "module-ffsim.trotter.qdrift"]], "ffsim.trotter.trotter": [[6, "module-ffsim.trotter.trotter"]], "one_body_square_decomposition() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.one_body_square_decomposition"]], "qdrift_probabilities() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.qdrift_probabilities"]], "simulate_qdrift_double_factorized() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.simulate_qdrift_double_factorized"]], "simulate_trotter_double_factorized() (in module ffsim.trotter.trotter)": [[6, "ffsim.trotter.trotter.simulate_trotter_double_factorized"]], "spectral_norm_diag_coulomb() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.spectral_norm_diag_coulomb"]], "spectral_norm_one_body_tensor() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.spectral_norm_one_body_tensor"]], "variance_diag_coulomb() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.variance_diag_coulomb"]], "variance_one_body_tensor() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.variance_one_body_tensor"]], "ucjoperator (class in ffsim.variational.lucj)": [[7, "ffsim.variational.lucj.UCJOperator"]], "apply_ucj_operator() (in module ffsim.variational.lucj)": [[7, "ffsim.variational.lucj.apply_ucj_operator"]], "diag_coulomb_mats_alpha_alpha (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.diag_coulomb_mats_alpha_alpha"]], "diag_coulomb_mats_alpha_beta (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.diag_coulomb_mats_alpha_beta"]], "ffsim.variational": [[7, "module-ffsim.variational"]], "ffsim.variational.lucj": [[7, "module-ffsim.variational.lucj"]], "final_orbital_rotation (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.final_orbital_rotation"]], "from_parameters() (ffsim.variational.lucj.ucjoperator static method)": [[7, "ffsim.variational.lucj.UCJOperator.from_parameters"]], "from_t_amplitudes() (ffsim.variational.lucj.ucjoperator static method)": [[7, "ffsim.variational.lucj.UCJOperator.from_t_amplitudes"]], "n_reps (ffsim.variational.lucj.ucjoperator property)": [[7, "ffsim.variational.lucj.UCJOperator.n_reps"]], "norb (ffsim.variational.lucj.ucjoperator property)": [[7, "ffsim.variational.lucj.UCJOperator.norb"]], "orbital_rotations (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.orbital_rotations"]], "to_parameters() (ffsim.variational.lucj.ucjoperator method)": [[7, "ffsim.variational.lucj.UCJOperator.to_parameters"]], "to_t_amplitudes() (ffsim.variational.lucj.ucjoperator method)": [[7, "ffsim.variational.lucj.UCJOperator.to_t_amplitudes"]]}})
\ No newline at end of file
+Search.setIndex({"docnames": ["api/generated/ffsim", "api/generated/ffsim.contract", "api/generated/ffsim.gates", "api/generated/ffsim.hamiltonians", "api/generated/ffsim.linalg", "api/generated/ffsim.protocols", "api/generated/ffsim.trotter", "api/generated/ffsim.variational", "api/generated/modules", "api/index", "index", "tutorials/01-introduction", "tutorials/02-orbital-rotation", "tutorials/03-double-factorized", "tutorials/04-lucj", "tutorials/05-fermion-operator", "tutorials/index"], "filenames": ["api/generated/ffsim.rst", "api/generated/ffsim.contract.rst", "api/generated/ffsim.gates.rst", "api/generated/ffsim.hamiltonians.rst", "api/generated/ffsim.linalg.rst", "api/generated/ffsim.protocols.rst", "api/generated/ffsim.trotter.rst", "api/generated/ffsim.variational.rst", "api/generated/modules.rst", "api/index.rst", "index.rst", "tutorials/01-introduction.ipynb", "tutorials/02-orbital-rotation.ipynb", "tutorials/03-double-factorized.ipynb", "tutorials/04-lucj.ipynb", "tutorials/05-fermion-operator.ipynb", "tutorials/index.rst"], "titles": ["ffsim package", "ffsim.contract package", "ffsim.gates package", "ffsim.hamiltonians package", "ffsim.linalg package", "ffsim.protocols package", "ffsim.trotter package", "ffsim.variational package", "ffsim", "API reference", "ffsim documentation", "Introduction to ffsim", "Orbital rotations and quadratic Hamiltonians", "Diagonal Coulomb operators and double-factorized Trotter simulation", "The local unitary cluster Jastrow (LUCJ) ansatz", "The FermionOperator class", "Tutorials"], "terms": {"contract": [0, 8, 9, 12], "diag_coulomb": [0, 8], "contract_diag_coulomb": [0, 1], "diag_coulomb_linop": [0, 1], "hamiltonian": [0, 6, 8, 9, 14, 16], "hamiltonian_linop": [0, 1, 12], "hamiltonian_trac": [0, 1], "num_op_sum": [0, 8], "contract_num_op_sum": [0, 1], "num_op_sum_linop": [0, 1], "gate": [0, 8, 9, 14], "basic_g": [0, 8], "apply_fsim_g": [0, 2], "apply_givens_rot": [0, 2], "apply_hop_g": [0, 2], "apply_num_interact": [0, 2], "apply_num_num_interact": [0, 2], "apply_num_op_prod_interact": [0, 2], "apply_tunneling_interact": [0, 2], "apply_diag_coulomb_evolut": [0, 2, 13], "apply_num_op_sum_evolut": [0, 2, 12, 13], "orbital_rot": [0, 1, 3, 4, 6, 7, 8, 11, 12, 13], "apply_orbital_rot": [0, 2, 11, 12], "gen_orbital_rotation_index": [0, 2], "double_factorized_hamiltonian": [0, 8, 13], "doublefactorizedhamiltonian": [0, 3, 6, 13], "one_body_tensor": [0, 1, 3, 6, 12, 13], "diag_coulomb_mat": [0, 3, 6, 13], "constant": [0, 1, 3, 13, 14], "z_represent": [0, 1, 2, 3, 6], "norb": [0, 1, 2, 3, 5, 6, 7, 11, 12, 13, 14, 15], "to_number_represent": [0, 3], "to_z_represent": [0, 3], "molecular_hamiltonian": [0, 8], "molecularhamiltonian": [0, 3], "two_body_tensor": [0, 1, 3, 4, 13], "linalg": [0, 8, 9, 12, 13, 15], "double_factor": [0, 8], "double_factorized_t2": [0, 4], "modified_choleski": [0, 4], "optimal_diag_coulomb_mat": [0, 4], "given": [0, 1, 2, 6, 8, 12, 13], "apply_matrix_to_slic": [0, 4], "givens_decomposit": [0, 4], "zrotg": [0, 4], "expm_multiply_taylor": [0, 4], "lup": [0, 4], "predic": [0, 8], "is_antihermitian": [0, 4], "is_hermitian": [0, 4], "is_orthogon": [0, 4], "is_real_symmetr": [0, 4], "is_special_orthogon": [0, 4], "is_unitari": [0, 4], "protocol": [0, 8, 9], "approximate_equ": [0, 8], "supportsapproximateequ": [0, 5], "approx_eq": [0, 5], "linear_oper": [0, 8, 13, 14, 15], "supportslinearoper": [0, 5], "trace": [0, 1, 8, 13], "supportstrac": [0, 5], "trotter": [0, 8, 9, 16], "qdrift": [0, 8], "expectation_squared_diag_coulomb": [0, 6], "one_body_square_decomposit": [0, 6], "qdrift_prob": [0, 6], "simulate_qdrift_double_factor": [0, 6], "spectral_norm_diag_coulomb": [0, 6], "spectral_norm_one_body_tensor": [0, 6], "variance_diag_coulomb": [0, 6], "variance_one_body_tensor": [0, 6], "simulate_trotter_double_factor": [0, 6, 13], "variat": [0, 8, 9, 14], "lucj": [0, 8, 16], "ucjoper": [0, 7, 14], "diag_coulomb_mats_alpha_alpha": [0, 7], 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3, 4, 6, 7, 11, 12, 13, 14, 15], "cre": [0, 8, 9], "paramet": [0, 1, 2, 3, 4, 5, 6, 7, 14], "orbit": [0, 1, 2, 3, 4, 5, 6, 7, 11, 13, 14, 15, 16], "fals": [0, 1, 2, 3, 4, 5, 6, 7, 15], "alpha": [0, 1, 2, 5, 6, 7, 11, 14, 15], "true": [0, 2, 3, 4, 5, 6, 7, 11, 14, 15], "beta": [0, 1, 2, 5, 6, 7, 11, 14, 15], "index": [0, 2, 10, 11, 14, 15], "act": [0, 3, 15], "return": [0, 1, 2, 3, 4, 5, 6, 7, 13, 14, 15], "type": [0, 1, 2, 3, 4, 5, 6, 7, 13], "cre_a": [0, 8, 9, 15], "cre_b": [0, 8, 9, 15], "de": [0, 8, 9], "destroi": [0, 15], "des_a": [0, 8, 9, 15], "des_b": [0, 8, 9, 15], "moleculardata": [0, 8, 9, 13, 14], "nelec": [0, 1, 2, 5, 6, 7, 11, 12, 13, 14, 15], "core_energi": 0, "dipole_integr": 0, "none": [0, 1, 2, 3, 4, 6, 7], "orbital_symmetri": 0, "object": [0, 3, 4, 5, 7, 13, 14, 15], "random_antihermitian": [0, 8, 9], "dim": [0, 6, 8, 9, 11, 15], "seed": [0, 6, 11, 12], "dtype": [0, 14], "complex": [0, 4], "anti": [0, 4], "hermitian": [0, 4, 12], "matrix": [0, 1, 2, 3, 4, 6, 11, 12, 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"module-ffsim.contract.diag_coulomb"]], "ffsim.contract.hamiltonian": [[1, "module-ffsim.contract.hamiltonian"]], "ffsim.contract.num_op_sum": [[1, "module-ffsim.contract.num_op_sum"]], "hamiltonian_linop() (in module ffsim.contract.hamiltonian)": [[1, "ffsim.contract.hamiltonian.hamiltonian_linop"]], "hamiltonian_trace() (in module ffsim.contract.hamiltonian)": [[1, "ffsim.contract.hamiltonian.hamiltonian_trace"]], "num_op_sum_linop() (in module ffsim.contract.num_op_sum)": [[1, "ffsim.contract.num_op_sum.num_op_sum_linop"]], "apply_diag_coulomb_evolution() (in module ffsim.gates.diag_coulomb)": [[2, "ffsim.gates.diag_coulomb.apply_diag_coulomb_evolution"]], "apply_fsim_gate() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_fsim_gate"]], "apply_givens_rotation() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_givens_rotation"]], "apply_hop_gate() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_hop_gate"]], "apply_num_interaction() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_num_interaction"]], "apply_num_num_interaction() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_num_num_interaction"]], "apply_num_op_prod_interaction() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_num_op_prod_interaction"]], "apply_num_op_sum_evolution() (in module ffsim.gates.num_op_sum)": [[2, "ffsim.gates.num_op_sum.apply_num_op_sum_evolution"]], "apply_orbital_rotation() (in module ffsim.gates.orbital_rotation)": [[2, "ffsim.gates.orbital_rotation.apply_orbital_rotation"]], "apply_tunneling_interaction() (in module ffsim.gates.basic_gates)": [[2, "ffsim.gates.basic_gates.apply_tunneling_interaction"]], "ffsim.gates": [[2, "module-ffsim.gates"]], "ffsim.gates.basic_gates": [[2, "module-ffsim.gates.basic_gates"]], "ffsim.gates.diag_coulomb": [[2, "module-ffsim.gates.diag_coulomb"]], "ffsim.gates.num_op_sum": [[2, "module-ffsim.gates.num_op_sum"]], "ffsim.gates.orbital_rotation": [[2, "module-ffsim.gates.orbital_rotation"]], "gen_orbital_rotation_index() (in module ffsim.gates.orbital_rotation)": [[2, "ffsim.gates.orbital_rotation.gen_orbital_rotation_index"]], "doublefactorizedhamiltonian (class in ffsim.hamiltonians.double_factorized_hamiltonian)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian"]], "molecularhamiltonian (class in ffsim.hamiltonians.molecular_hamiltonian)": [[3, "ffsim.hamiltonians.molecular_hamiltonian.MolecularHamiltonian"]], "constant (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian attribute)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.constant"]], "constant (ffsim.hamiltonians.molecular_hamiltonian.molecularhamiltonian attribute)": [[3, "ffsim.hamiltonians.molecular_hamiltonian.MolecularHamiltonian.constant"]], "diag_coulomb_mats (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian attribute)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.diag_coulomb_mats"]], "double_factorized_hamiltonian() (in module ffsim.hamiltonians.double_factorized_hamiltonian)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.double_factorized_hamiltonian"]], "ffsim.hamiltonians": [[3, "module-ffsim.hamiltonians"]], "ffsim.hamiltonians.double_factorized_hamiltonian": [[3, "module-ffsim.hamiltonians.double_factorized_hamiltonian"]], "ffsim.hamiltonians.molecular_hamiltonian": [[3, "module-ffsim.hamiltonians.molecular_hamiltonian"]], "norb (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian property)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.norb"]], "norb (ffsim.hamiltonians.molecular_hamiltonian.molecularhamiltonian property)": [[3, "ffsim.hamiltonians.molecular_hamiltonian.MolecularHamiltonian.norb"]], "one_body_tensor (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian attribute)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.one_body_tensor"]], "one_body_tensor (ffsim.hamiltonians.molecular_hamiltonian.molecularhamiltonian attribute)": [[3, "ffsim.hamiltonians.molecular_hamiltonian.MolecularHamiltonian.one_body_tensor"]], "orbital_rotations (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian attribute)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.orbital_rotations"]], "to_number_representation() (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian method)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.to_number_representation"]], "to_z_representation() (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian method)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.to_z_representation"]], "two_body_tensor (ffsim.hamiltonians.molecular_hamiltonian.molecularhamiltonian attribute)": [[3, "ffsim.hamiltonians.molecular_hamiltonian.MolecularHamiltonian.two_body_tensor"]], "z_representation (ffsim.hamiltonians.double_factorized_hamiltonian.doublefactorizedhamiltonian attribute)": [[3, "ffsim.hamiltonians.double_factorized_hamiltonian.DoubleFactorizedHamiltonian.z_representation"]], "apply_matrix_to_slices() (in module ffsim.linalg.givens)": [[4, "ffsim.linalg.givens.apply_matrix_to_slices"]], "double_factorized() (in module ffsim.linalg.double_factorized)": [[4, "ffsim.linalg.double_factorized.double_factorized"]], "double_factorized_t2() (in module ffsim.linalg.double_factorized)": [[4, "ffsim.linalg.double_factorized.double_factorized_t2"]], "expm_multiply_taylor() (in module ffsim.linalg.linalg)": [[4, "ffsim.linalg.linalg.expm_multiply_taylor"]], "ffsim.linalg": [[4, "module-ffsim.linalg"]], "ffsim.linalg.double_factorized": [[4, "module-ffsim.linalg.double_factorized"]], "ffsim.linalg.givens": [[4, "module-ffsim.linalg.givens"]], "ffsim.linalg.linalg": [[4, "module-ffsim.linalg.linalg"]], "ffsim.linalg.predicates": [[4, "module-ffsim.linalg.predicates"]], "givens_decomposition() (in module ffsim.linalg.givens)": [[4, "ffsim.linalg.givens.givens_decomposition"]], "is_antihermitian() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_antihermitian"]], "is_hermitian() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_hermitian"]], "is_orthogonal() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_orthogonal"]], "is_real_symmetric() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_real_symmetric"]], "is_special_orthogonal() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_special_orthogonal"]], "is_unitary() (in module ffsim.linalg.predicates)": [[4, "ffsim.linalg.predicates.is_unitary"]], "lup() (in module ffsim.linalg.linalg)": [[4, "ffsim.linalg.linalg.lup"]], "modified_cholesky() (in module ffsim.linalg.double_factorized)": [[4, "ffsim.linalg.double_factorized.modified_cholesky"]], "optimal_diag_coulomb_mats() (in module ffsim.linalg.double_factorized)": [[4, "ffsim.linalg.double_factorized.optimal_diag_coulomb_mats"]], "zrotg() (in module ffsim.linalg.givens)": [[4, "ffsim.linalg.givens.zrotg"]], "supportsapproximateequality (class in ffsim.protocols.approximate_equality)": [[5, "ffsim.protocols.approximate_equality.SupportsApproximateEquality"]], "supportslinearoperator (class in ffsim.protocols.linear_operator)": [[5, "ffsim.protocols.linear_operator.SupportsLinearOperator"]], "supportstrace (class in ffsim.protocols.trace)": [[5, "ffsim.protocols.trace.SupportsTrace"]], "approx_eq() (in module ffsim.protocols.approximate_equality)": [[5, "ffsim.protocols.approximate_equality.approx_eq"]], "ffsim.protocols": [[5, "module-ffsim.protocols"]], "ffsim.protocols.approximate_equality": [[5, "module-ffsim.protocols.approximate_equality"]], "ffsim.protocols.linear_operator": [[5, "module-ffsim.protocols.linear_operator"]], "ffsim.protocols.trace": [[5, "module-ffsim.protocols.trace"]], "linear_operator() (in module ffsim.protocols.linear_operator)": [[5, "ffsim.protocols.linear_operator.linear_operator"]], "trace() (in module ffsim.protocols.trace)": [[5, "ffsim.protocols.trace.trace"]], "expectation_squared_diag_coulomb() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.expectation_squared_diag_coulomb"]], "ffsim.trotter": [[6, "module-ffsim.trotter"]], "ffsim.trotter.qdrift": [[6, "module-ffsim.trotter.qdrift"]], "ffsim.trotter.trotter": [[6, "module-ffsim.trotter.trotter"]], "one_body_square_decomposition() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.one_body_square_decomposition"]], "qdrift_probabilities() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.qdrift_probabilities"]], "simulate_qdrift_double_factorized() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.simulate_qdrift_double_factorized"]], "simulate_trotter_double_factorized() (in module ffsim.trotter.trotter)": [[6, "ffsim.trotter.trotter.simulate_trotter_double_factorized"]], "spectral_norm_diag_coulomb() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.spectral_norm_diag_coulomb"]], "spectral_norm_one_body_tensor() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.spectral_norm_one_body_tensor"]], "variance_diag_coulomb() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.variance_diag_coulomb"]], "variance_one_body_tensor() (in module ffsim.trotter.qdrift)": [[6, "ffsim.trotter.qdrift.variance_one_body_tensor"]], "ucjoperator (class in ffsim.variational.lucj)": [[7, "ffsim.variational.lucj.UCJOperator"]], "apply_ucj_operator() (in module ffsim.variational.lucj)": [[7, "ffsim.variational.lucj.apply_ucj_operator"]], "diag_coulomb_mats_alpha_alpha (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.diag_coulomb_mats_alpha_alpha"]], "diag_coulomb_mats_alpha_beta (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.diag_coulomb_mats_alpha_beta"]], "ffsim.variational": [[7, "module-ffsim.variational"]], "ffsim.variational.lucj": [[7, "module-ffsim.variational.lucj"]], "final_orbital_rotation (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.final_orbital_rotation"]], "from_parameters() (ffsim.variational.lucj.ucjoperator static method)": [[7, "ffsim.variational.lucj.UCJOperator.from_parameters"]], "from_t_amplitudes() (ffsim.variational.lucj.ucjoperator static method)": [[7, "ffsim.variational.lucj.UCJOperator.from_t_amplitudes"]], "n_reps (ffsim.variational.lucj.ucjoperator property)": [[7, "ffsim.variational.lucj.UCJOperator.n_reps"]], "norb (ffsim.variational.lucj.ucjoperator property)": [[7, "ffsim.variational.lucj.UCJOperator.norb"]], "orbital_rotations (ffsim.variational.lucj.ucjoperator attribute)": [[7, "ffsim.variational.lucj.UCJOperator.orbital_rotations"]], "to_parameters() (ffsim.variational.lucj.ucjoperator method)": [[7, "ffsim.variational.lucj.UCJOperator.to_parameters"]], "to_t_amplitudes() (ffsim.variational.lucj.ucjoperator method)": [[7, "ffsim.variational.lucj.UCJOperator.to_t_amplitudes"]]}})
\ No newline at end of file
diff --git a/tutorials/01-introduction.ipynb b/tutorials/01-introduction.ipynb
index 38472ac7d..b46f68b04 100644
--- a/tutorials/01-introduction.ipynb
+++ b/tutorials/01-introduction.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:34.339625Z",
-     "iopub.status.busy": "2023-10-19T02:46:34.339200Z",
-     "iopub.status.idle": "2023-10-19T02:46:34.631991Z",
-     "shell.execute_reply": "2023-10-19T02:46:34.631357Z"
+     "iopub.execute_input": "2023-10-19T14:39:55.333137Z",
+     "iopub.status.busy": "2023-10-19T14:39:55.332800Z",
+     "iopub.status.idle": "2023-10-19T14:39:55.620635Z",
+     "shell.execute_reply": "2023-10-19T14:39:55.620092Z"
     }
    },
    "outputs": [],
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:34.635817Z",
-     "iopub.status.busy": "2023-10-19T02:46:34.635204Z",
-     "iopub.status.idle": "2023-10-19T02:46:34.639086Z",
-     "shell.execute_reply": "2023-10-19T02:46:34.638624Z"
+     "iopub.execute_input": "2023-10-19T14:39:55.625193Z",
+     "iopub.status.busy": "2023-10-19T14:39:55.624119Z",
+     "iopub.status.idle": "2023-10-19T14:39:55.629183Z",
+     "shell.execute_reply": "2023-10-19T14:39:55.628710Z"
     }
    },
    "outputs": [],
@@ -93,10 +93,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:34.642084Z",
-     "iopub.status.busy": "2023-10-19T02:46:34.641488Z",
-     "iopub.status.idle": "2023-10-19T02:46:34.644420Z",
-     "shell.execute_reply": "2023-10-19T02:46:34.643975Z"
+     "iopub.execute_input": "2023-10-19T14:39:55.633035Z",
+     "iopub.status.busy": "2023-10-19T14:39:55.632089Z",
+     "iopub.status.idle": "2023-10-19T14:39:55.636031Z",
+     "shell.execute_reply": "2023-10-19T14:39:55.635577Z"
     }
    },
    "outputs": [],
diff --git a/tutorials/02-orbital-rotation.ipynb b/tutorials/02-orbital-rotation.ipynb
index 3d8e6a9aa..be6e21fe5 100644
--- a/tutorials/02-orbital-rotation.ipynb
+++ b/tutorials/02-orbital-rotation.ipynb
@@ -43,10 +43,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.167922Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.167518Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.461097Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.460456Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.127490Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.127250Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.415242Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.414684Z"
     }
    },
    "outputs": [],
@@ -111,10 +111,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.464540Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.464254Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.489805Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.489257Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.419456Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.418437Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.443882Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.443356Z"
     }
    },
    "outputs": [],
@@ -160,10 +160,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.492991Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.492785Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.503612Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.503068Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.447969Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.447021Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.458057Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.457553Z"
     }
    },
    "outputs": [],
@@ -203,10 +203,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:36.506429Z",
-     "iopub.status.busy": "2023-10-19T02:46:36.506212Z",
-     "iopub.status.idle": "2023-10-19T02:46:36.511130Z",
-     "shell.execute_reply": "2023-10-19T02:46:36.510597Z"
+     "iopub.execute_input": "2023-10-19T14:39:57.462338Z",
+     "iopub.status.busy": "2023-10-19T14:39:57.461004Z",
+     "iopub.status.idle": "2023-10-19T14:39:57.467050Z",
+     "shell.execute_reply": "2023-10-19T14:39:57.466562Z"
     }
    },
    "outputs": [],
diff --git a/tutorials/03-double-factorized.html b/tutorials/03-double-factorized.html
index 2aacdf11f..270204248 100644
--- a/tutorials/03-double-factorized.html
+++ b/tutorials/03-double-factorized.html
@@ -136,44 +136,44 @@ <h2>Double-factorized representation of the molecular Hamiltonian<a class="heade
  [-3.07220771e-16 -6.77238770e-01]]
 
 Two-body tensor:
-[[[[5.23173938e-01 1.57437591e-16]
-   [1.57437591e-16 5.33545754e-01]]
+[[[[5.23173938e-01 1.94289029e-16]
+   [1.94289029e-16 5.33545754e-01]]
 
-  [[2.12704463e-16 2.48240570e-01]
-   [2.48240570e-01 1.61492903e-16]]]
+  [[1.94289029e-16 2.48240570e-01]
+   [2.48240570e-01 8.32667268e-17]]]
 
 
- [[[2.12704463e-16 2.48240570e-01]
-   [2.48240570e-01 1.61492903e-16]]
+ [[[1.94289029e-16 2.48240570e-01]
+   [2.48240570e-01 8.32667268e-17]]
 
-  [[5.33545754e-01 1.24884750e-16]
-   [1.24884750e-16 5.53132024e-01]]]]
+  [[5.33545754e-01 1.11022302e-16]
+   [1.11022302e-16 5.53132024e-01]]]]
 
 Double-factorized representation
 --------------------------------
 One-body tensor:
-[[-1.21318608e+00 -4.25870402e-16]
- [-4.76015378e-16 -1.07792507e+00]]
+[[-1.21318608e+00 -4.05183033e-16]
+ [-4.59876437e-16 -1.07792507e+00]]
 
 Diagonal Coulomb matrices:
-[[[ 5.14653029e-01  5.33545754e-01]
-  [ 5.33545754e-01  5.53132024e-01]]
+[[[ 5.14653029e-001  5.33545754e-001]
+  [ 5.33545754e-001  5.53132024e-001]]
 
- [[ 2.48240570e-01 -2.48240570e-01]
-  [-2.48240570e-01  2.48240570e-01]]
+ [[ 2.48240570e-001 -2.48240570e-001]
+  [-2.48240570e-001  2.48240570e-001]]
 
- [[ 1.50800163e-59 -3.58462611e-31]
-  [-3.58462611e-31  8.52090881e-03]]]
+ [[ 5.96958401e-121 -7.13206008e-062]
+  [-7.13206008e-062  8.52090881e-003]]]
 
 Orbital rotations:
-[[[-1.00000000e+00  8.24520980e-15]
-  [ 8.24520980e-15  1.00000000e+00]]
+[[[-1.00000000e+00  4.25128053e-15]
+  [ 4.25128053e-15  1.00000000e+00]]
 
- [[-7.07106781e-01 -7.07106781e-01]
-  [ 7.07106781e-01 -7.07106781e-01]]
+ [[ 7.07106781e-01 -7.07106781e-01]
+  [-7.07106781e-01 -7.07106781e-01]]
 
- [[ 6.48603030e-15 -1.00000000e+00]
-  [-1.00000000e+00 -6.48603030e-15]]]
+ [[ 2.89310728e-30 -1.00000000e+00]
+  [-1.00000000e+00 -2.89310728e-30]]]
 </pre></div></div>
 </div>
 </section>
@@ -297,7 +297,7 @@ <h3>Implementing Trotter simulation of the double-factorized Hamiltonian<a class
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Hartree Fock energy: -0.8377963825937088
+Hartree Fock energy: -0.837796382593709
 </pre></div></div>
 </div>
 <p>Now, we set the evolution time and calculate the exact result of time evolution by directly exponentiating the Hamiltonian using SciPy. Later, we will compare the result of our approximate time evolution with this exact result.</p>
@@ -352,7 +352,7 @@ <h3>Implementing Trotter simulation of the double-factorized Hamiltonian<a class
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.999027574408349
+Fidelity of Trotter-evolved state with exact state: 0.9990275744083491
 </pre></div></div>
 </div>
 <p>The fidelity of the final result can be improved by increasing the number of Trotter steps.</p>
@@ -379,7 +379,7 @@ <h3>Implementing Trotter simulation of the double-factorized Hamiltonian<a class
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9999906233109657
+Fidelity of Trotter-evolved state with exact state: 0.9999906233109653
 </pre></div></div>
 </div>
 <p>As mentioned above, ffsim already includes functionality for Trotter simulation of double-factorized Hamiltonians. The implementation in ffsim includes higher-order Trotter-Suzuki formulas. The first-order asymmetric formula that we just implemented corresponds to <code class="docutils literal notranslate"><span class="pre">order=0</span></code> in ffsim’s implementation. <code class="docutils literal notranslate"><span class="pre">order=1</span></code> corresponds to the first-order symmetric (commonly known as the second-order) formula, <code class="docutils literal notranslate"><span class="pre">order=2</span></code> corresponds to the second-order symmetric (fourth-order) formula, and so on.</p>
@@ -408,7 +408,7 @@ <h3>Implementing Trotter simulation of the double-factorized Hamiltonian<a class
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9999906233109657
+Fidelity of Trotter-evolved state with exact state: 0.9999906233109653
 </pre></div></div>
 </div>
 <p>A higher order formula achieves a higher fidelity with fewer Trotter steps:</p>
@@ -436,7 +436,7 @@ <h3>Implementing Trotter simulation of the double-factorized Hamiltonian<a class
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9999999336740057
+Fidelity of Trotter-evolved state with exact state: 0.9999999336740059
 </pre></div></div>
 </div>
 </section>
diff --git a/tutorials/03-double-factorized.ipynb b/tutorials/03-double-factorized.ipynb
index c719b9884..2cb8abca1 100644
--- a/tutorials/03-double-factorized.ipynb
+++ b/tutorials/03-double-factorized.ipynb
@@ -43,10 +43,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.188517Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.188110Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.578982Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.578351Z"
+     "iopub.execute_input": "2023-10-19T14:39:58.908837Z",
+     "iopub.status.busy": "2023-10-19T14:39:58.908499Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.292292Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.291735Z"
     }
    },
    "outputs": [
@@ -93,10 +93,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.591785Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.591349Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.597111Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.596658Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.296046Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.295505Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.303680Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.303208Z"
     }
    },
    "outputs": [
@@ -111,44 +111,44 @@
       " [-3.07220771e-16 -6.77238770e-01]]\n",
       "\n",
       "Two-body tensor:\n",
-      "[[[[5.23173938e-01 1.57437591e-16]\n",
-      "   [1.57437591e-16 5.33545754e-01]]\n",
+      "[[[[5.23173938e-01 1.94289029e-16]\n",
+      "   [1.94289029e-16 5.33545754e-01]]\n",
       "\n",
-      "  [[2.12704463e-16 2.48240570e-01]\n",
-      "   [2.48240570e-01 1.61492903e-16]]]\n",
+      "  [[1.94289029e-16 2.48240570e-01]\n",
+      "   [2.48240570e-01 8.32667268e-17]]]\n",
       "\n",
       "\n",
-      " [[[2.12704463e-16 2.48240570e-01]\n",
-      "   [2.48240570e-01 1.61492903e-16]]\n",
+      " [[[1.94289029e-16 2.48240570e-01]\n",
+      "   [2.48240570e-01 8.32667268e-17]]\n",
       "\n",
-      "  [[5.33545754e-01 1.24884750e-16]\n",
-      "   [1.24884750e-16 5.53132024e-01]]]]\n",
+      "  [[5.33545754e-01 1.11022302e-16]\n",
+      "   [1.11022302e-16 5.53132024e-01]]]]\n",
       "\n",
       "Double-factorized representation\n",
       "--------------------------------\n",
       "One-body tensor:\n",
-      "[[-1.21318608e+00 -4.25870402e-16]\n",
-      " [-4.76015378e-16 -1.07792507e+00]]\n",
+      "[[-1.21318608e+00 -4.05183033e-16]\n",
+      " [-4.59876437e-16 -1.07792507e+00]]\n",
       "\n",
       "Diagonal Coulomb matrices:\n",
-      "[[[ 5.14653029e-01  5.33545754e-01]\n",
-      "  [ 5.33545754e-01  5.53132024e-01]]\n",
+      "[[[ 5.14653029e-001  5.33545754e-001]\n",
+      "  [ 5.33545754e-001  5.53132024e-001]]\n",
       "\n",
-      " [[ 2.48240570e-01 -2.48240570e-01]\n",
-      "  [-2.48240570e-01  2.48240570e-01]]\n",
+      " [[ 2.48240570e-001 -2.48240570e-001]\n",
+      "  [-2.48240570e-001  2.48240570e-001]]\n",
       "\n",
-      " [[ 1.50800163e-59 -3.58462611e-31]\n",
-      "  [-3.58462611e-31  8.52090881e-03]]]\n",
+      " [[ 5.96958401e-121 -7.13206008e-062]\n",
+      "  [-7.13206008e-062  8.52090881e-003]]]\n",
       "\n",
       "Orbital rotations:\n",
-      "[[[-1.00000000e+00  8.24520980e-15]\n",
-      "  [ 8.24520980e-15  1.00000000e+00]]\n",
+      "[[[-1.00000000e+00  4.25128053e-15]\n",
+      "  [ 4.25128053e-15  1.00000000e+00]]\n",
       "\n",
-      " [[-7.07106781e-01 -7.07106781e-01]\n",
-      "  [ 7.07106781e-01 -7.07106781e-01]]\n",
+      " [[ 7.07106781e-01 -7.07106781e-01]\n",
+      "  [-7.07106781e-01 -7.07106781e-01]]\n",
       "\n",
-      " [[ 6.48603030e-15 -1.00000000e+00]\n",
-      "  [-1.00000000e+00 -6.48603030e-15]]]\n"
+      " [[ 2.89310728e-30 -1.00000000e+00]\n",
+      "  [-1.00000000e+00 -2.89310728e-30]]]\n"
      ]
     }
    ],
@@ -227,10 +227,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.599710Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.599404Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.603693Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.603246Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.307553Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.306455Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.312345Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.311867Z"
     }
    },
    "outputs": [],
@@ -285,10 +285,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.606133Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.605839Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.609316Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.608866Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.315343Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.315133Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.319932Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.319386Z"
     }
    },
    "outputs": [],
@@ -325,10 +325,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.611974Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.611674Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.615968Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.615522Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.322653Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.322251Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.327160Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.326695Z"
     }
    },
    "outputs": [
@@ -336,7 +336,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Hartree Fock energy: -0.8377963825937088\n"
+      "Hartree Fock energy: -0.837796382593709\n"
      ]
     }
    ],
@@ -367,10 +367,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.618277Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.617987Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.629673Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.629147Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.329875Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.329325Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.339042Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.338412Z"
     }
    },
    "outputs": [
@@ -409,10 +409,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.632236Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.631901Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.639569Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.639118Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.341671Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.341479Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.349853Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.349232Z"
     }
    },
    "outputs": [
@@ -420,7 +420,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.999027574408349\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9990275744083491\n"
      ]
     }
    ],
@@ -450,10 +450,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.641776Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.641588Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.677756Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.677308Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.353772Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.353568Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.390939Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.389931Z"
     }
    },
    "outputs": [
@@ -461,7 +461,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109657\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109653\n"
      ]
     }
    ],
@@ -493,10 +493,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.680483Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.680136Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.707617Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.707180Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.393689Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.393490Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.425221Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.424460Z"
     }
    },
    "outputs": [
@@ -504,7 +504,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109657\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9999906233109653\n"
      ]
     }
    ],
@@ -535,10 +535,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:38.710858Z",
-     "iopub.status.busy": "2023-10-19T02:46:38.710516Z",
-     "iopub.status.idle": "2023-10-19T02:46:38.722585Z",
-     "shell.execute_reply": "2023-10-19T02:46:38.722134Z"
+     "iopub.execute_input": "2023-10-19T14:39:59.427658Z",
+     "iopub.status.busy": "2023-10-19T14:39:59.427469Z",
+     "iopub.status.idle": "2023-10-19T14:39:59.443022Z",
+     "shell.execute_reply": "2023-10-19T14:39:59.442331Z"
     }
    },
    "outputs": [
@@ -546,7 +546,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9999999336740057\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9999999336740059\n"
      ]
     }
    ],
diff --git a/tutorials/04-lucj.html b/tutorials/04-lucj.html
index e09245067..4c09e8dcc 100644
--- a/tutorials/04-lucj.html
+++ b/tutorials/04-lucj.html
@@ -94,8 +94,8 @@ <h1>The local unitary cluster Jastrow (LUCJ) ansatz<a class="headerlink" href="#
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-converged SCF energy = -77.4456267643962
-CASCI E = -77.6290254326717  E(CI) = -3.57322412553862  S^2 = 0.0000000
+converged SCF energy = -77.4456267643961
+CASCI E = -77.6290254326717  E(CI) = -3.57322412553863  S^2 = 0.0000000
 </pre></div></div>
 </div>
 <section id="The-unitary-cluster-Jastrow-(UCJ)-ansatz">
@@ -151,8 +151,8 @@ <h2>The unitary cluster Jastrow (UCJ) ansatz<a class="headerlink" href="#The-uni
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-E(CCSD) = -77.49387212754471  E_corr = -0.04824536314851378
-Energy at initialialization: -77.46975600021688
+E(CCSD) = -77.49387212754462  E_corr = -0.04824536314851573
+Energy at initialialization: -77.46975600021692
 </pre></div></div>
 </div>
 <p>To facilitate variational optimization of the ansatz, <code class="docutils literal notranslate"><span class="pre">UCJOperator</span></code> implements methods for conversion to and from a vector of real-valued parameters. The precise relation between a parameter vector and the matrices of the UCJ operator is somewhat complicated. In short, the parameter vector stores the entries of the UCJ matrices in a non-redundant way (for the orbital rotations, the parameter vector actually stores the entries of their generators.)</p>
@@ -193,12 +193,12 @@ <h2>The unitary cluster Jastrow (UCJ) ansatz<a class="headerlink" href="#The-uni
   message: CONVERGENCE: REL_REDUCTION_OF_F_&lt;=_FACTR*EPSMCH
   success: True
    status: 0
-      fun: -77.62901282341039
-        x: [-2.372e-02  1.027e+00 ...  1.257e-01  2.370e-01]
-      nit: 265
-      jac: [ 2.842e-06  2.842e-05 ...  2.274e-05 -8.527e-06]
-     nfev: 20878
-     njev: 286
+      fun: -77.62873343946598
+        x: [-2.541e-01 -8.978e-02 ...  2.239e-01 -5.438e-01]
+      nit: 329
+      jac: [ 6.537e-05  3.098e-04 ...  2.956e-04 -1.734e-04]
+     nfev: 25696
+     njev: 352
  hess_inv: &lt;72x72 LbfgsInvHessProduct with dtype=float64&gt;
 </pre></div></div>
 </div>
@@ -259,12 +259,12 @@ <h2>The local unitary cluster Jastrow (LUCJ) ansatz<a class="headerlink" href="#
   message: CONVERGENCE: REL_REDUCTION_OF_F_&lt;=_FACTR*EPSMCH
   success: True
    status: 0
-      fun: -77.62857380046123
-        x: [-9.474e-01 -7.735e-01 ... -1.104e+00 -6.212e-01]
-      nit: 456
-      jac: [-3.311e-04  5.016e-04 ...  1.791e-04 -4.462e-04]
-     nfev: 22748
-     njev: 484
+      fun: -77.62881470757267
+        x: [-3.795e+00 -1.386e+00 ... -4.020e-01  1.230e-01]
+      nit: 585
+      jac: [ 4.434e-04 -1.933e-04 ...  4.007e-04 -1.450e-04]
+     nfev: 29422
+     njev: 626
  hess_inv: &lt;46x46 LbfgsInvHessProduct with dtype=float64&gt;
 </pre></div></div>
 </div>
diff --git a/tutorials/04-lucj.ipynb b/tutorials/04-lucj.ipynb
index e3808175b..1d8185999 100644
--- a/tutorials/04-lucj.ipynb
+++ b/tutorials/04-lucj.ipynb
@@ -14,10 +14,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:40.679599Z",
-     "iopub.status.busy": "2023-10-19T02:46:40.679036Z",
-     "iopub.status.idle": "2023-10-19T02:46:41.408329Z",
-     "shell.execute_reply": "2023-10-19T02:46:41.407784Z"
+     "iopub.execute_input": "2023-10-19T14:40:01.376785Z",
+     "iopub.status.busy": "2023-10-19T14:40:01.376450Z",
+     "iopub.status.idle": "2023-10-19T14:40:01.984780Z",
+     "shell.execute_reply": "2023-10-19T14:40:01.984205Z"
     }
    },
    "outputs": [
@@ -25,14 +25,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.4456267643962\n"
+      "converged SCF energy = -77.4456267643961\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.6290254326717  E(CI) = -3.57322412553862  S^2 = 0.0000000\n"
+      "CASCI E = -77.6290254326717  E(CI) = -3.57322412553863  S^2 = 0.0000000\n"
      ]
     }
    ],
@@ -109,10 +109,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:41.411504Z",
-     "iopub.status.busy": "2023-10-19T02:46:41.411022Z",
-     "iopub.status.idle": "2023-10-19T02:46:41.957143Z",
-     "shell.execute_reply": "2023-10-19T02:46:41.956639Z"
+     "iopub.execute_input": "2023-10-19T14:40:01.990201Z",
+     "iopub.status.busy": "2023-10-19T14:40:01.988624Z",
+     "iopub.status.idle": "2023-10-19T14:40:02.504800Z",
+     "shell.execute_reply": "2023-10-19T14:40:02.504249Z"
     }
    },
    "outputs": [
@@ -120,14 +120,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.49387212754471  E_corr = -0.04824536314851378\n"
+      "E(CCSD) = -77.49387212754462  E_corr = -0.04824536314851573\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -77.46975600021688\n"
+      "Energy at initialialization: -77.46975600021692\n"
      ]
     }
    ],
@@ -177,10 +177,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:46:41.959995Z",
-     "iopub.status.busy": "2023-10-19T02:46:41.959612Z",
-     "iopub.status.idle": "2023-10-19T02:47:41.568598Z",
-     "shell.execute_reply": "2023-10-19T02:47:41.568053Z"
+     "iopub.execute_input": "2023-10-19T14:40:02.507719Z",
+     "iopub.status.busy": "2023-10-19T14:40:02.507477Z",
+     "iopub.status.idle": "2023-10-19T14:41:13.658634Z",
+     "shell.execute_reply": "2023-10-19T14:41:13.658109Z"
     }
    },
    "outputs": [
@@ -192,12 +192,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62901282341039\n",
-      "        x: [-2.372e-02  1.027e+00 ...  1.257e-01  2.370e-01]\n",
-      "      nit: 265\n",
-      "      jac: [ 2.842e-06  2.842e-05 ...  2.274e-05 -8.527e-06]\n",
-      "     nfev: 20878\n",
-      "     njev: 286\n",
+      "      fun: -77.62873343946598\n",
+      "        x: [-2.541e-01 -8.978e-02 ...  2.239e-01 -5.438e-01]\n",
+      "      nit: 329\n",
+      "      jac: [ 6.537e-05  3.098e-04 ...  2.956e-04 -1.734e-04]\n",
+      "     nfev: 25696\n",
+      "     njev: 352\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
@@ -252,10 +252,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:47:41.571164Z",
-     "iopub.status.busy": "2023-10-19T02:47:41.570955Z",
-     "iopub.status.idle": "2023-10-19T02:48:45.937231Z",
-     "shell.execute_reply": "2023-10-19T02:48:45.936737Z"
+     "iopub.execute_input": "2023-10-19T14:41:13.662631Z",
+     "iopub.status.busy": "2023-10-19T14:41:13.661664Z",
+     "iopub.status.idle": "2023-10-19T14:42:35.356542Z",
+     "shell.execute_reply": "2023-10-19T14:42:35.356016Z"
     }
    },
    "outputs": [
@@ -267,12 +267,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62857380046123\n",
-      "        x: [-9.474e-01 -7.735e-01 ... -1.104e+00 -6.212e-01]\n",
-      "      nit: 456\n",
-      "      jac: [-3.311e-04  5.016e-04 ...  1.791e-04 -4.462e-04]\n",
-      "     nfev: 22748\n",
-      "     njev: 484\n",
+      "      fun: -77.62881470757267\n",
+      "        x: [-3.795e+00 -1.386e+00 ... -4.020e-01  1.230e-01]\n",
+      "      nit: 585\n",
+      "      jac: [ 4.434e-04 -1.933e-04 ...  4.007e-04 -1.450e-04]\n",
+      "     nfev: 29422\n",
+      "     njev: 626\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
diff --git a/tutorials/05-fermion-operator.html b/tutorials/05-fermion-operator.html
index 0ac7a57ea..95315f332 100644
--- a/tutorials/05-fermion-operator.html
+++ b/tutorials/05-fermion-operator.html
@@ -127,17 +127,17 @@ <h1>The FermionOperator class<a class="headerlink" href="#The-FermionOperator-cl
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_a(3), des_a(0)): -0.5,
-    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
-    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
     (des_a(3), des_b(3)): 0.0625,
+    (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,
+    (cre_a(3), des_a(0)): -0.5,
+    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
     (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,
-    (cre_b(2)): 0-0.25j,
+    (cre_a(0), des_a(3)): 1,
     (cre_b(1), des_b(5), cre_a(4)): 2+2j,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
     (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
-    (cre_a(0), des_a(3)): 1,
-    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
-    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j
+    (cre_b(2)): 0-0.25j
 })
 </pre></div></div>
 </div>
@@ -162,17 +162,17 @@ <h1>The FermionOperator class<a class="headerlink" href="#The-FermionOperator-cl
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_a(3), des_a(0)): 0+3j,
-    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
-    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
     (des_a(3), des_b(3)): 0-1.25j,
+    (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,
+    (cre_a(3), des_a(0)): 0+3j,
+    (cre_a(0), des_a(3), cre_b(2)): 2,
     (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,
-    (cre_b(2)): -5,
+    (cre_a(0), des_a(3)): 0-6j,
     (cre_b(1), des_b(5), cre_a(4)): 12-12j,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
     (cre_a(3), des_a(0), cre_b(2)): -1,
-    (cre_a(0), des_a(3)): 0-6j,
-    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
-    (cre_a(0), des_a(3), cre_b(2)): 2
+    (cre_b(2)): -5
 })
 </pre></div></div>
 </div>
@@ -193,16 +193,16 @@ <h1>The FermionOperator class<a class="headerlink" href="#The-FermionOperator-cl
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
+    (cre_a(3), des_a(0)): 0+3j,
+    (cre_b(2)): -5,
+    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
     (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
-    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
-    (cre_b(2), cre_a(3), des_a(0)): -1,
-    (cre_b(2), cre_a(0), des_a(3)): 2,
     (cre_a(0), des_a(3)): 0-6j,
-    (cre_b(1), cre_a(4), des_b(5)): -12+12j,
+    (cre_b(2), cre_a(0), des_a(3)): 2,
+    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
     (des_b(3), des_a(3)): 0+1.25j,
-    (cre_b(2)): -5,
-    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
-    (cre_a(3), des_a(0)): 0+3j
+    (cre_b(2), cre_a(3), des_a(0)): -1,
+    (cre_b(1), cre_a(4), des_b(5)): -12+12j
 })
 </pre></div></div>
 </div>
@@ -271,11 +271,11 @@ <h1>The FermionOperator class<a class="headerlink" href="#The-FermionOperator-cl
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-array([0.       +0.j        , 0.       +0.j        ,
-       0.       +0.j        , 0.       +0.j        ,
-       0.0035998+0.01708495j, 0.       +0.j        ,
-       0.       +0.j        , 0.       +0.j        ,
-       0.       +0.j        ])
+array([0.        +0.j        , 0.        +0.j        ,
+       0.        +0.j        , 0.        +0.j        ,
+       0.11889056-0.13114645j, 0.        +0.j        ,
+       0.        +0.j        , 0.        +0.j        ,
+       0.        +0.j        ])
 </pre></div></div>
 </div>
 <p>It can also be passed into most linear algebra routines in <code class="docutils literal notranslate"><span class="pre">scipy.sparse.linalg</span></code>.</p>
diff --git a/tutorials/05-fermion-operator.ipynb b/tutorials/05-fermion-operator.ipynb
index 1ae89228e..fa09bcb38 100644
--- a/tutorials/05-fermion-operator.ipynb
+++ b/tutorials/05-fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:47.720976Z",
-     "iopub.status.busy": "2023-10-19T02:48:47.720625Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.011002Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.010479Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.077633Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.077306Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.362479Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.361769Z"
     }
    },
    "outputs": [
@@ -76,10 +76,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.013922Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.013514Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.017207Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.016749Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.367296Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.366261Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.372138Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.371678Z"
     }
    },
    "outputs": [
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.019690Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.019374Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.023718Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.023278Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.375800Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.374921Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.381567Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.381116Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
        "    (des_a(3), des_b(3)): 0.0625,\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",
+       "    (cre_a(3), des_a(0)): -0.5,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
-       "    (cre_b(2)): 0-0.25j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
        "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_b(2)): 0-0.25j\n",
        "})"
       ]
      },
@@ -169,10 +169,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.027444Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.026559Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.032272Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.031808Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.385304Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.384396Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.390385Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.389901Z"
     }
    },
    "outputs": [
@@ -180,17 +180,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
        "    (des_a(3), des_b(3)): 0-1.25j,\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",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
        "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_b(2)): -5\n",
        "})"
       ]
      },
@@ -219,10 +219,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.036387Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.035466Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.040999Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.040538Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.394709Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.393740Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.399514Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.399055Z"
     }
    },
    "outputs": [
@@ -230,16 +230,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
        "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
-       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
-       "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
+       "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j,\n",
-       "    (cre_b(2)): -5,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_a(3), des_a(0)): 0+3j\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
+       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j\n",
        "})"
       ]
      },
@@ -264,10 +264,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.043752Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.043401Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.048074Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.047596Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.403183Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.402262Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.407487Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.407040Z"
     }
    },
    "outputs": [
@@ -297,10 +297,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.050711Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.050309Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.056567Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.056091Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.411097Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.410179Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.416471Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.416023Z"
     }
    },
    "outputs": [
@@ -340,21 +340,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.059325Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.058968Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.066273Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.065819Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.420049Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.419152Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.426669Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.426204Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.       +0.j        , 0.       +0.j        ,\n",
-       "       0.       +0.j        , 0.       +0.j        ,\n",
-       "       0.0035998+0.01708495j, 0.       +0.j        ,\n",
-       "       0.       +0.j        , 0.       +0.j        ,\n",
-       "       0.       +0.j        ])"
+       "array([0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.11889056-0.13114645j, 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -379,10 +379,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-19T02:48:48.069821Z",
-     "iopub.status.busy": "2023-10-19T02:48:48.068935Z",
-     "iopub.status.idle": "2023-10-19T02:48:48.080969Z",
-     "shell.execute_reply": "2023-10-19T02:48:48.080523Z"
+     "iopub.execute_input": "2023-10-19T14:42:37.430250Z",
+     "iopub.status.busy": "2023-10-19T14:42:37.429345Z",
+     "iopub.status.idle": "2023-10-19T14:42:37.441262Z",
+     "shell.execute_reply": "2023-10-19T14:42:37.440811Z"
     }
    },
    "outputs": [