From b35198bf7e78d411e58b8a1dca797200ef74a21f Mon Sep 17 00:00:00 2001
From: kevinsung <kevinsung@users.noreply.github.com>
Date: Wed, 25 Oct 2023 18:36:32 +0000
Subject: [PATCH] deploy: 5321c4c66e79c8638b4a0ec68eed4674b40d3278

---
 .doctrees/api/ffsim.doctree                   | Bin 427350 -> 444795 bytes
 .doctrees/environment.pickle                  | Bin 1931488 -> 1958103 bytes
 .../nbsphinx/tutorials/01-introduction.ipynb  |  24 ++--
 .../tutorials/02-orbital-rotation.ipynb       |  32 ++---
 .../tutorials/03-double-factorized.ipynb      |  80 +++++------
 .doctrees/nbsphinx/tutorials/04-lucj.ipynb    |  62 ++++----
 .../tutorials/05-entanglement-forging.ipynb   |  28 ++--
 .../tutorials/06-fermion-operator.ipynb       | 132 +++++++++---------
 .doctrees/tutorials/04-lucj.doctree           | Bin 38276 -> 38282 bytes
 .../tutorials/05-entanglement-forging.doctree | Bin 15260 -> 15260 bytes
 .../tutorials/06-fermion-operator.doctree     | Bin 41385 -> 41445 bytes
 api/ffsim.html                                |  82 +++++++++++
 genindex.html                                 |  12 ++
 index.html                                    |   1 +
 objects.inv                                   | Bin 2794 -> 2896 bytes
 searchindex.js                                |   2 +-
 tutorials/01-introduction.ipynb               |  24 ++--
 tutorials/02-orbital-rotation.ipynb           |  32 ++---
 tutorials/03-double-factorized.ipynb          |  80 +++++------
 tutorials/04-lucj.html                        |  30 ++--
 tutorials/04-lucj.ipynb                       |  62 ++++----
 tutorials/05-entanglement-forging.html        |   4 +-
 tutorials/05-entanglement-forging.ipynb       |  28 ++--
 tutorials/06-fermion-operator.html            |  60 ++++----
 tutorials/06-fermion-operator.ipynb           | 132 +++++++++---------
 25 files changed, 501 insertions(+), 406 deletions(-)

diff --git a/.doctrees/api/ffsim.doctree b/.doctrees/api/ffsim.doctree
index 6ca6d056f2d787f427d30d747fde6f1c06f99602..34185124a38987afea82016ee8704b598db8e87e 100644
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diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
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diff --git a/.doctrees/nbsphinx/tutorials/01-introduction.ipynb b/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
index 70546e413..02958e804 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": "2023-10-25T15:43:07.303702Z",
-     "iopub.status.busy": "2023-10-25T15:43:07.303204Z",
-     "iopub.status.idle": "2023-10-25T15:43:07.632924Z",
-     "shell.execute_reply": "2023-10-25T15:43:07.632377Z"
+     "iopub.execute_input": "2023-10-25T18:32:38.353855Z",
+     "iopub.status.busy": "2023-10-25T18:32:38.353405Z",
+     "iopub.status.idle": "2023-10-25T18:32:38.720001Z",
+     "shell.execute_reply": "2023-10-25T18:32:38.719335Z"
     }
    },
    "outputs": [],
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:07.637087Z",
-     "iopub.status.busy": "2023-10-25T15:43:07.636003Z",
-     "iopub.status.idle": "2023-10-25T15:43:07.640877Z",
-     "shell.execute_reply": "2023-10-25T15:43:07.640424Z"
+     "iopub.execute_input": "2023-10-25T18:32:38.726832Z",
+     "iopub.status.busy": "2023-10-25T18:32:38.725377Z",
+     "iopub.status.idle": "2023-10-25T18:32:38.731633Z",
+     "shell.execute_reply": "2023-10-25T18:32:38.731085Z"
     }
    },
    "outputs": [],
@@ -93,10 +93,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:07.644767Z",
-     "iopub.status.busy": "2023-10-25T15:43:07.643840Z",
-     "iopub.status.idle": "2023-10-25T15:43:07.647865Z",
-     "shell.execute_reply": "2023-10-25T15:43:07.647427Z"
+     "iopub.execute_input": "2023-10-25T18:32:38.736350Z",
+     "iopub.status.busy": "2023-10-25T18:32:38.735268Z",
+     "iopub.status.idle": "2023-10-25T18:32:38.740093Z",
+     "shell.execute_reply": "2023-10-25T18:32:38.739255Z"
     }
    },
    "outputs": [],
diff --git a/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb b/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
index 1c6a1d9bc..15b159131 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": "2023-10-25T15:43:09.218913Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.218607Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.545598Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.544551Z"
+     "iopub.execute_input": "2023-10-25T18:32:40.606503Z",
+     "iopub.status.busy": "2023-10-25T18:32:40.606254Z",
+     "iopub.status.idle": "2023-10-25T18:32:40.974567Z",
+     "shell.execute_reply": "2023-10-25T18:32:40.973835Z"
     }
    },
    "outputs": [],
@@ -111,10 +111,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:09.549650Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.548410Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.591087Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.590631Z"
+     "iopub.execute_input": "2023-10-25T18:32:40.979246Z",
+     "iopub.status.busy": "2023-10-25T18:32:40.978687Z",
+     "iopub.status.idle": "2023-10-25T18:32:41.011685Z",
+     "shell.execute_reply": "2023-10-25T18:32:41.011021Z"
     }
    },
    "outputs": [],
@@ -158,10 +158,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:09.595200Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.593873Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.613082Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.612573Z"
+     "iopub.execute_input": "2023-10-25T18:32:41.016819Z",
+     "iopub.status.busy": "2023-10-25T18:32:41.015661Z",
+     "iopub.status.idle": "2023-10-25T18:32:41.028429Z",
+     "shell.execute_reply": "2023-10-25T18:32:41.027826Z"
     }
    },
    "outputs": [],
@@ -201,10 +201,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:09.618350Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.616862Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.626583Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.626030Z"
+     "iopub.execute_input": "2023-10-25T18:32:41.032989Z",
+     "iopub.status.busy": "2023-10-25T18:32:41.031903Z",
+     "iopub.status.idle": "2023-10-25T18:32:41.038531Z",
+     "shell.execute_reply": "2023-10-25T18:32:41.037927Z"
     }
    },
    "outputs": [],
diff --git a/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb b/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
index 6219a9532..a0785bc14 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": "2023-10-25T15:43:11.112683Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.112283Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.555824Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.555129Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.132897Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.132015Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.628999Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.628125Z"
     }
    },
    "outputs": [
@@ -92,10 +92,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.561515Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.561187Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.568161Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.567690Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.641100Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.640451Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.647605Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.647036Z"
     }
    },
    "outputs": [
@@ -226,10 +226,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.570997Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.570526Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.575646Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.575065Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.650764Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.650304Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.655806Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.655237Z"
     }
    },
    "outputs": [],
@@ -284,10 +284,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.578092Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.577906Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.582744Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.582184Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.658973Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.658373Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.662835Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.662282Z"
     }
    },
    "outputs": [],
@@ -324,10 +324,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.585317Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.585096Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.589789Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.589321Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.666079Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.665448Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.670974Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.670424Z"
     }
    },
    "outputs": [
@@ -366,10 +366,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.592584Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.592053Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.601297Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.600853Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.674428Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.673575Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.686342Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.685738Z"
     }
    },
    "outputs": [
@@ -408,10 +408,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.604081Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.603530Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.611775Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.611205Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.689894Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.689161Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.700548Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.699931Z"
     }
    },
    "outputs": [
@@ -449,10 +449,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.614215Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.613877Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.658250Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.657589Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.703942Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.703280Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.747945Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.746857Z"
     }
    },
    "outputs": [
@@ -492,10 +492,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.660663Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.660438Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.694309Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.693447Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.752790Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.751458Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.781920Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.781329Z"
     }
    },
    "outputs": [
@@ -534,10 +534,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.696698Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.696470Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.712628Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.712085Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.786838Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.785597Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.801028Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.800446Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/nbsphinx/tutorials/04-lucj.ipynb b/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
index 11aeff63c..13e597820 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": "2023-10-25T15:43:13.794137Z",
-     "iopub.status.busy": "2023-10-25T15:43:13.793472Z",
-     "iopub.status.idle": "2023-10-25T15:43:14.485449Z",
-     "shell.execute_reply": "2023-10-25T15:43:14.484847Z"
+     "iopub.execute_input": "2023-10-25T18:32:46.153388Z",
+     "iopub.status.busy": "2023-10-25T18:32:46.152671Z",
+     "iopub.status.idle": "2023-10-25T18:32:46.896240Z",
+     "shell.execute_reply": "2023-10-25T18:32:46.895557Z"
     }
    },
    "outputs": [
@@ -25,7 +25,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.4456267643962\n"
+      "converged SCF energy = -77.4456267643961\n"
      ]
     },
     {
@@ -110,10 +110,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:14.490345Z",
-     "iopub.status.busy": "2023-10-25T15:43:14.489152Z",
-     "iopub.status.idle": "2023-10-25T15:43:15.020858Z",
-     "shell.execute_reply": "2023-10-25T15:43:15.020325Z"
+     "iopub.execute_input": "2023-10-25T18:32:46.901699Z",
+     "iopub.status.busy": "2023-10-25T18:32:46.900345Z",
+     "iopub.status.idle": "2023-10-25T18:32:47.490302Z",
+     "shell.execute_reply": "2023-10-25T18:32:47.489591Z"
     }
    },
    "outputs": [
@@ -121,14 +121,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.49387212754473  E_corr = -0.04824536314851363\n"
+      "E(CCSD) = -77.49387212754465  E_corr = -0.04824536314851272\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -77.4697560002167\n"
+      "Energy at initialialization: -77.46975600021639\n"
      ]
     }
    ],
@@ -176,10 +176,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:15.024892Z",
-     "iopub.status.busy": "2023-10-25T15:43:15.023990Z",
-     "iopub.status.idle": "2023-10-25T15:44:00.930698Z",
-     "shell.execute_reply": "2023-10-25T15:44:00.930173Z"
+     "iopub.execute_input": "2023-10-25T18:32:47.494036Z",
+     "iopub.status.busy": "2023-10-25T18:32:47.493674Z",
+     "iopub.status.idle": "2023-10-25T18:34:24.997541Z",
+     "shell.execute_reply": "2023-10-25T18:34:24.996790Z"
     }
    },
    "outputs": [
@@ -191,12 +191,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62900974804887\n",
-      "        x: [-2.061e-01  6.960e-01 ... -6.039e-01  1.481e-01]\n",
-      "      nit: 191\n",
-      "      jac: [ 2.842e-05  8.527e-06 ...  3.638e-04 -1.421e-05]\n",
-      "     nfev: 15257\n",
-      "     njev: 209\n",
+      "      fun: -77.62900707053015\n",
+      "        x: [-2.901e-01  5.290e-02 ... -3.301e-01  2.687e-01]\n",
+      "      nit: 367\n",
+      "      jac: [ 2.103e-04 -1.862e-04 ...  9.663e-05  1.535e-04]\n",
+      "     nfev: 28616\n",
+      "     njev: 392\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:00.933725Z",
-     "iopub.status.busy": "2023-10-25T15:44:00.933370Z",
-     "iopub.status.idle": "2023-10-25T15:44:44.799763Z",
-     "shell.execute_reply": "2023-10-25T15:44:44.799185Z"
+     "iopub.execute_input": "2023-10-25T18:34:25.001756Z",
+     "iopub.status.busy": "2023-10-25T18:34:25.001422Z",
+     "iopub.status.idle": "2023-10-25T18:36:21.111645Z",
+     "shell.execute_reply": "2023-10-25T18:36:21.110986Z"
     }
    },
    "outputs": [
@@ -266,12 +266,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62844987758717\n",
-      "        x: [ 2.288e+00  1.961e-01 ...  5.959e-02  5.341e-02]\n",
-      "      nit: 293\n",
-      "      jac: [-1.705e-05 -4.491e-04 ...  9.948e-06  1.876e-04]\n",
-      "     nfev: 14758\n",
-      "     njev: 314\n",
+      "      fun: -77.62873943133823\n",
+      "        x: [ 3.033e+00  9.747e-01 ... -6.260e-01 -1.970e-03]\n",
+      "      nit: 684\n",
+      "      jac: [-2.416e-05  3.979e-05 ... -9.948e-06  2.842e-06]\n",
+      "     nfev: 34357\n",
+      "     njev: 731\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
diff --git a/.doctrees/nbsphinx/tutorials/05-entanglement-forging.ipynb b/.doctrees/nbsphinx/tutorials/05-entanglement-forging.ipynb
index f5ee36322..241f6d694 100644
--- a/.doctrees/nbsphinx/tutorials/05-entanglement-forging.ipynb
+++ b/.doctrees/nbsphinx/tutorials/05-entanglement-forging.ipynb
@@ -14,10 +14,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:46.454082Z",
-     "iopub.status.busy": "2023-10-25T15:44:46.453836Z",
-     "iopub.status.idle": "2023-10-25T15:44:47.123096Z",
-     "shell.execute_reply": "2023-10-25T15:44:47.122385Z"
+     "iopub.execute_input": "2023-10-25T18:36:23.019830Z",
+     "iopub.status.busy": "2023-10-25T18:36:23.018810Z",
+     "iopub.status.idle": "2023-10-25T18:36:23.730213Z",
+     "shell.execute_reply": "2023-10-25T18:36:23.729474Z"
     }
    },
    "outputs": [
@@ -90,10 +90,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:47.127140Z",
-     "iopub.status.busy": "2023-10-25T15:44:47.126007Z",
-     "iopub.status.idle": "2023-10-25T15:44:47.149976Z",
-     "shell.execute_reply": "2023-10-25T15:44:47.149424Z"
+     "iopub.execute_input": "2023-10-25T18:36:23.734273Z",
+     "iopub.status.busy": "2023-10-25T18:36:23.733639Z",
+     "iopub.status.idle": "2023-10-25T18:36:23.758560Z",
+     "shell.execute_reply": "2023-10-25T18:36:23.757947Z"
     }
    },
    "outputs": [
@@ -101,7 +101,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -75.68366174447618\n"
+      "Energy at initialialization: -75.68366174447621\n"
      ]
     }
    ],
@@ -135,10 +135,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:47.152942Z",
-     "iopub.status.busy": "2023-10-25T15:44:47.152428Z",
-     "iopub.status.idle": "2023-10-25T15:44:49.043086Z",
-     "shell.execute_reply": "2023-10-25T15:44:49.042201Z"
+     "iopub.execute_input": "2023-10-25T18:36:23.762906Z",
+     "iopub.status.busy": "2023-10-25T18:36:23.762360Z",
+     "iopub.status.idle": "2023-10-25T18:36:25.857396Z",
+     "shell.execute_reply": "2023-10-25T18:36:25.856608Z"
     }
    },
    "outputs": [
@@ -150,7 +150,7 @@
       " message: Maximum number of function evaluations has been exceeded.\n",
       " success: False\n",
       "  status: 2\n",
-      "     fun: -75.69448131190485\n",
+      "     fun: -75.69448131100955\n",
       "       x: [ 1.354e+00  9.651e-02 -1.863e-03  1.095e+00 -2.132e-01]\n",
       "    nfev: 100\n",
       "   maxcv: 0.0\n"
diff --git a/.doctrees/nbsphinx/tutorials/06-fermion-operator.ipynb b/.doctrees/nbsphinx/tutorials/06-fermion-operator.ipynb
index b75adf86d..37538eb0f 100644
--- a/.doctrees/nbsphinx/tutorials/06-fermion-operator.ipynb
+++ b/.doctrees/nbsphinx/tutorials/06-fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.453080Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.452830Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.777752Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.777096Z"
+     "iopub.execute_input": "2023-10-25T18:36:27.678443Z",
+     "iopub.status.busy": "2023-10-25T18:36:27.677981Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.041021Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.040270Z"
     }
    },
    "outputs": [
@@ -41,8 +41,8 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(0), des_a(3)): 0.5,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
-       "    (cre_a(3), des_a(0)): -0.25\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j\n",
        "})"
       ]
      },
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.782537Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.781216Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.787490Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.786932Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.044380Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.044026Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.050460Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.049784Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j})'"
+       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.790843Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.790452Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.797110Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.796669Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.054240Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.053970Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.061238Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.060605Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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), des_a(3), des_b(3)): 0.0625,\n",
        "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
-       "    (cre_a(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",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j\n",
        "})"
       ]
      },
@@ -169,10 +169,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.800905Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.799881Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.805573Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.805142Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.064715Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.064466Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.071043Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.070405Z"
     }
    },
    "outputs": [
@@ -180,17 +180,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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), des_a(3), des_b(3)): 0-0.25j,\n",
        "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
-       "    (cre_a(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",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_b(2)): -5,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j\n",
        "})"
       ]
      },
@@ -219,10 +219,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.808911Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.808515Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.814437Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.813969Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.074475Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.074231Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.080556Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.079915Z"
     }
    },
    "outputs": [
@@ -230,16 +230,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
+       "    (des_b(3), des_a(3)): 0+1.25j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
        "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
-       "    (des_b(3), des_a(3)): 0+1.25j,\n",
        "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2)): -5,\n",
-       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\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",
        "})"
       ]
      },
@@ -264,10 +264,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.817463Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.817126Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.822280Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.821833Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.083964Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.083724Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.088484Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.086805Z"
     }
    },
    "outputs": [
@@ -297,10 +297,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.826070Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.825728Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.832170Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.831692Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.091676Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.091433Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.098307Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.097658Z"
     }
    },
    "outputs": [
@@ -340,21 +340,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.835839Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.834797Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.843122Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.842587Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.102033Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.101272Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.110913Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.110353Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.10689262+0.07164639j, 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",
+       "       -0.08388787+0.07863985j,  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": "2023-10-25T15:44:50.847129Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.845886Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.859157Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.858621Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.115840Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.114438Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.129197Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.128639Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/tutorials/04-lucj.doctree b/.doctrees/tutorials/04-lucj.doctree
index 87aa3c283245bc8ddc8463abe3731e62436a6675..c6fb01e3bf76c21ac48d217a515b58f83490aaf8 100644
GIT binary patch
delta 2584
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delta 2560
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diff --git a/.doctrees/tutorials/05-entanglement-forging.doctree b/.doctrees/tutorials/05-entanglement-forging.doctree
index 84f36782f929398aa9cbddcc2f1ed513140f337d..aacc162feacea293b318a6518cbc3f2f085bfed4 100644
GIT binary patch
delta 131
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diff --git a/api/ffsim.html b/api/ffsim.html
index 46dd5fd12..4beef36c5 100644
--- a/api/ffsim.html
+++ b/api/ffsim.html
@@ -268,6 +268,87 @@
 
 </dd></dl>
 
+<dl class="py class">
+<dt class="sig sig-object py" id="ffsim.FermionOperator">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">ffsim.</span></span><span class="sig-name descname"><span class="pre">FermionOperator</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">coeffs</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#ffsim.FermionOperator" title="Link to this definition">¶</a></dt>
+<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
+<p>A fermionic operator.</p>
+<p>A FermionOperator represents a linear combination of products of fermionic creation
+and annihilation operators.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>coeffs</strong> (<em>dict</em><em>[</em><em>tuple</em><em>[</em><em>tuple</em><em>[</em><em>bool</em><em>, </em><em>bool</em><em>, </em><em>int</em><em>]</em><em>, </em><em>...</em><em>]</em><em>, </em><em>complex</em><em>]</em>) – The coefficients of the
+operator.</p>
+</dd>
+</dl>
+<dl class="py method">
+<dt class="sig sig-object py" id="ffsim.FermionOperator.conserves_particle_number">
+<span class="sig-name descname"><span class="pre">conserves_particle_number</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#ffsim.FermionOperator.conserves_particle_number" title="Link to this definition">¶</a></dt>
+<dd><p>Return whether the operator conserves particle number.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>True if the operator conserves particle number, False otherwise.</p>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p>bool</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="ffsim.FermionOperator.conserves_spin_z">
+<span class="sig-name descname"><span class="pre">conserves_spin_z</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#ffsim.FermionOperator.conserves_spin_z" title="Link to this definition">¶</a></dt>
+<dd><p>Return whether the operator conserves the Z component of spin.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>True if the operator conserves the Z component of spin, False otherwise.</p>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p>bool</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="ffsim.FermionOperator.many_body_order">
+<span class="sig-name descname"><span class="pre">many_body_order</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#ffsim.FermionOperator.many_body_order" title="Link to this definition">¶</a></dt>
+<dd><p>Return the many-body order of the operator.</p>
+<p>The many-body order is defined as the length of the longest term contained
+in the operator.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>The many-body order of the operator.</p>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p>int</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="ffsim.FermionOperator.normal_ordered">
+<span class="sig-name descname"><span class="pre">normal_ordered</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#ffsim.FermionOperator.normal_ordered" title="Link to this definition">¶</a></dt>
+<dd><p>Return the normal ordered form of the operator.</p>
+<p>The normal ordered form of an operator is an equivalent operator in which
+each term has been reordered into a canonical ordering.
+In each term of a normal-ordered fermion operator, the operators comprising
+the term appear from left to right in descending lexicographic order by
+(action, spin, orb). That is, all creation operators appear before all
+annihilation operators; within creation/annihilation operators, spin beta
+operators appear before spin alpha operators, and larger orbital indices
+appear before smaller orbital indices.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>The normal-ordered fermion operator.</p>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p><a class="reference internal" href="#ffsim.FermionOperator" title="ffsim.FermionOperator">FermionOperator</a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</dd></dl>
+
 <dl class="py class">
 <dt class="sig sig-object py" id="ffsim.HopGateAnsatzOperator">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">ffsim.</span></span><span class="sig-name descname"><span class="pre">HopGateAnsatzOperator</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">interaction_pairs</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">thetas</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/ffsim/variational/hopgate.html#HopGateAnsatzOperator"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#ffsim.HopGateAnsatzOperator" title="Link to this definition">¶</a></dt>
@@ -1327,6 +1408,7 @@ <h3>Navigation</h3>
 <li class="toctree-l1 current"><a class="current reference internal" href="#">ffsim</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="#ffsim.DoubleFactorizedHamiltonian"><code class="docutils literal notranslate"><span class="pre">DoubleFactorizedHamiltonian</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="#ffsim.FermionAction"><code class="docutils literal notranslate"><span class="pre">FermionAction</span></code></a></li>
+<li class="toctree-l2"><a class="reference internal" href="#ffsim.FermionOperator"><code class="docutils literal notranslate"><span class="pre">FermionOperator</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="#ffsim.HopGateAnsatzOperator"><code class="docutils literal notranslate"><span class="pre">HopGateAnsatzOperator</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="#ffsim.MolecularData"><code class="docutils literal notranslate"><span class="pre">MolecularData</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="#ffsim.MolecularHamiltonian"><code class="docutils literal notranslate"><span class="pre">MolecularHamiltonian</span></code></a></li>
diff --git a/genindex.html b/genindex.html
index 01c13fcd7..724ee32b7 100644
--- a/genindex.html
+++ b/genindex.html
@@ -92,6 +92,10 @@ <h2 id="A">A</h2>
 <h2 id="C">C</h2>
 <table style="width: 100%" class="indextable genindextable"><tr>
   <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="api/ffsim.html#ffsim.FermionOperator.conserves_particle_number">conserves_particle_number() (ffsim.FermionOperator method)</a>
+</li>
+      <li><a href="api/ffsim.html#ffsim.FermionOperator.conserves_spin_z">conserves_spin_z() (ffsim.FermionOperator method)</a>
+</li>
       <li><a href="api/ffsim.html#ffsim.DoubleFactorizedHamiltonian.constant">constant (ffsim.DoubleFactorizedHamiltonian attribute)</a>
 
       <ul>
@@ -151,6 +155,8 @@ <h2 id="F">F</h2>
 <table style="width: 100%" class="indextable genindextable"><tr>
   <td style="width: 33%; vertical-align: top;"><ul>
       <li><a href="api/ffsim.html#ffsim.FermionAction">FermionAction (class in ffsim)</a>
+</li>
+      <li><a href="api/ffsim.html#ffsim.FermionOperator">FermionOperator (class in ffsim)</a>
 </li>
       <li>
     ffsim
@@ -199,6 +205,8 @@ <h2 id="L">L</h2>
 <h2 id="M">M</h2>
 <table style="width: 100%" class="indextable genindextable"><tr>
   <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="api/ffsim.html#ffsim.FermionOperator.many_body_order">many_body_order() (ffsim.FermionOperator method)</a>
+</li>
       <li>
     module
 
@@ -231,6 +239,10 @@ <h2 id="N">N</h2>
 </li>
       </ul></li>
   </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="api/ffsim.html#ffsim.FermionOperator.normal_ordered">normal_ordered() (ffsim.FermionOperator method)</a>
+</li>
+  </ul></td>
 </tr></table>
 
 <h2 id="O">O</h2>
diff --git a/index.html b/index.html
index 76c118393..49415e760 100644
--- a/index.html
+++ b/index.html
@@ -65,6 +65,7 @@ <h3>ffsim module<a class="headerlink" href="#ffsim-module" title="Link to this h
 <li class="toctree-l1"><a class="reference internal" href="api/ffsim.html">ffsim</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="api/ffsim.html#ffsim.DoubleFactorizedHamiltonian"><code class="docutils literal notranslate"><span class="pre">DoubleFactorizedHamiltonian</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="api/ffsim.html#ffsim.FermionAction"><code class="docutils literal notranslate"><span class="pre">FermionAction</span></code></a></li>
+<li class="toctree-l2"><a class="reference internal" href="api/ffsim.html#ffsim.FermionOperator"><code class="docutils literal notranslate"><span class="pre">FermionOperator</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="api/ffsim.html#ffsim.HopGateAnsatzOperator"><code class="docutils literal notranslate"><span class="pre">HopGateAnsatzOperator</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="api/ffsim.html#ffsim.MolecularData"><code class="docutils literal notranslate"><span class="pre">MolecularData</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="api/ffsim.html#ffsim.MolecularHamiltonian"><code class="docutils literal notranslate"><span class="pre">MolecularHamiltonian</span></code></a></li>
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diff --git a/searchindex.js b/searchindex.js
index f6f1dde35..46bb2777c 100644
--- a/searchindex.js
+++ b/searchindex.js
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"ffsim.states": [[7, "ffsim-states"]], "ffsim.testing": [[8, "ffsim-testing"]], "ffsim.trotter": [[9, "ffsim-trotter"]], "ffsim.variational": [[10, "ffsim-variational"]], "Welcome to ffsim\u2019s documentation!": [[11, "welcome-to-ffsim-s-documentation"]], "Tutorials": [[11, "tutorials"]], "API Reference": [[11, "api-reference"]], "ffsim module": [[11, "ffsim-module"]], "Submodules": [[11, "submodules"]], "Introduction to ffsim": [[12, "Introduction-to-ffsim"]], "Orbital rotations and quadratic Hamiltonians": [[13, "Orbital-rotations-and-quadratic-Hamiltonians"]], "Orbital rotations": [[13, "Orbital-rotations"]], "Time evolution by a quadratic Hamiltonian": [[13, "Time-evolution-by-a-quadratic-Hamiltonian"]], "Diagonal Coulomb operators and double-factorized Trotter simulation": [[14, "Diagonal-Coulomb-operators-and-double-factorized-Trotter-simulation"]], "Double-factorized representation of the molecular Hamiltonian": [[14, "Double-factorized-representation-of-the-molecular-Hamiltonian"]], "Trotter simulation of the double-factorized Hamiltonian": [[14, "Trotter-simulation-of-the-double-factorized-Hamiltonian"]], "Brief background on Trotter-Suzuki formulas": [[14, "Brief-background-on-Trotter-Suzuki-formulas"]], "Implementing Trotter simulation of the double-factorized Hamiltonian": [[14, "Implementing-Trotter-simulation-of-the-double-factorized-Hamiltonian"]], "The local unitary cluster Jastrow (LUCJ) ansatz": [[15, "The-local-unitary-cluster-Jastrow-(LUCJ)-ansatz"], [15, "id1"]], "The unitary cluster Jastrow (UCJ) ansatz": [[15, "The-unitary-cluster-Jastrow-(UCJ)-ansatz"]], "Entanglement forging": [[16, "Entanglement-forging"]], "The FermionOperator class": [[17, "The-FermionOperator-class"]]}, "indexentries": {"doublefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.DoubleFactorizedHamiltonian"]], "fermionaction (class in ffsim)": [[0, "ffsim.FermionAction"]], "fermionoperator (class in ffsim)": [[0, "ffsim.FermionOperator"]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator"]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData"]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian"]], "supportsapplyunitary (class in ffsim)": [[0, "ffsim.SupportsApplyUnitary"]], "supportsapproximateequality (class in ffsim)": [[0, "ffsim.SupportsApproximateEquality"]], "supportslinearoperator (class in ffsim)": [[0, "ffsim.SupportsLinearOperator"]], "supportstrace (class in ffsim)": [[0, "ffsim.SupportsTrace"]], "ucjoperator (class in ffsim)": [[0, "ffsim.UCJOperator"]], "action (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.action"]], "apply_diag_coulomb_evolution() (in module ffsim)": [[0, "ffsim.apply_diag_coulomb_evolution"]], "apply_fsim_gate() (in module ffsim)": [[0, "ffsim.apply_fsim_gate"]], "apply_givens_rotation() (in module ffsim)": [[0, "ffsim.apply_givens_rotation"]], "apply_hop_gate() (in module ffsim)": [[0, "ffsim.apply_hop_gate"]], "apply_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_interaction"]], "apply_num_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_num_interaction"]], "apply_num_op_prod_interaction() (in module ffsim)": [[0, "ffsim.apply_num_op_prod_interaction"]], "apply_num_op_sum_evolution() (in module ffsim)": [[0, "ffsim.apply_num_op_sum_evolution"]], "apply_orbital_rotation() (in module ffsim)": [[0, "ffsim.apply_orbital_rotation"]], "apply_tunneling_interaction() (in module ffsim)": [[0, "ffsim.apply_tunneling_interaction"]], "apply_unitary() (in module ffsim)": [[0, "ffsim.apply_unitary"]], "approx_eq() (in module ffsim)": [[0, "ffsim.approx_eq"]], "conserves_particle_number() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_particle_number"]], "conserves_spin_z() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_spin_z"]], "constant (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.constant"]], "constant (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.constant"]], "cre() (in module ffsim)": [[0, "ffsim.cre"]], "cre_a() (in module ffsim)": [[0, "ffsim.cre_a"]], "cre_b() (in module ffsim)": [[0, "ffsim.cre_b"]], "des() (in module ffsim)": [[0, "ffsim.des"]], "des_a() (in module ffsim)": [[0, "ffsim.des_a"]], "des_b() (in module ffsim)": [[0, "ffsim.des_b"]], "diag_coulomb_mats (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.diag_coulomb_mats"]], "diag_coulomb_mats_alpha_alpha (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.diag_coulomb_mats_alpha_alpha"]], "diag_coulomb_mats_alpha_beta (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.diag_coulomb_mats_alpha_beta"]], "dim() (in module ffsim)": [[0, "ffsim.dim"]], "dims() (in module ffsim)": [[0, "ffsim.dims"]], "expectation_power() (in module ffsim)": [[0, "ffsim.expectation_power"]], "expectation_product() (in module ffsim)": [[0, "ffsim.expectation_product"]], "ffsim": [[0, "module-ffsim"]], "final_orbital_rotation (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.final_orbital_rotation"]], "from_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian static method)": [[0, "ffsim.DoubleFactorizedHamiltonian.from_molecular_hamiltonian"]], "from_parameters() (ffsim.ucjoperator static method)": [[0, "ffsim.UCJOperator.from_parameters"]], "from_t_amplitudes() (ffsim.ucjoperator static method)": [[0, "ffsim.UCJOperator.from_t_amplitudes"]], "indices_to_strings() (in module ffsim)": [[0, "ffsim.indices_to_strings"]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator"]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order"]], "module": [[0, "module-ffsim"]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state"]], "n_reps (ffsim.ucjoperator property)": [[0, "ffsim.UCJOperator.n_reps"]], "norb (ffsim.doublefactorizedhamiltonian property)": [[0, "ffsim.DoubleFactorizedHamiltonian.norb"]], "norb (ffsim.molecularhamiltonian property)": [[0, "ffsim.MolecularHamiltonian.norb"]], "norb (ffsim.ucjoperator property)": [[0, "ffsim.UCJOperator.norb"]], "normal_ordered() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.normal_ordered"]], "one_body_tensor (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.one_body_tensor"]], "one_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.one_body_tensor"]], "one_hot() (in module ffsim)": [[0, "ffsim.one_hot"]], "orb (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.orb"]], "orbital_rotations (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.orbital_rotations"]], "orbital_rotations (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.orbital_rotations"]], "simulate_qdrift_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_qdrift_double_factorized"]], "simulate_trotter_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_trotter_double_factorized"]], "slater_determinant() (in module ffsim)": [[0, "ffsim.slater_determinant"]], "slater_determinant_one_rdm() (in module ffsim)": [[0, "ffsim.slater_determinant_one_rdm"]], "spin (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.spin"]], "to_number_representation() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_number_representation"]], "to_parameters() (ffsim.ucjoperator method)": [[0, "ffsim.UCJOperator.to_parameters"]], "to_t_amplitudes() (ffsim.ucjoperator method)": [[0, "ffsim.UCJOperator.to_t_amplitudes"]], "to_z_representation() (ffsim.doublefactorizedhamiltonian method)": [[0, "ffsim.DoubleFactorizedHamiltonian.to_z_representation"]], "trace() (in module ffsim)": [[0, "ffsim.trace"]], "two_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.two_body_tensor"]], "z_representation (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.z_representation"]]}})
\ No newline at end of file
diff --git a/tutorials/01-introduction.ipynb b/tutorials/01-introduction.ipynb
index 70546e413..02958e804 100644
--- a/tutorials/01-introduction.ipynb
+++ b/tutorials/01-introduction.ipynb
@@ -16,10 +16,10 @@
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    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:07.303702Z",
-     "iopub.status.busy": "2023-10-25T15:43:07.303204Z",
-     "iopub.status.idle": "2023-10-25T15:43:07.632924Z",
-     "shell.execute_reply": "2023-10-25T15:43:07.632377Z"
+     "iopub.execute_input": "2023-10-25T18:32:38.353855Z",
+     "iopub.status.busy": "2023-10-25T18:32:38.353405Z",
+     "iopub.status.idle": "2023-10-25T18:32:38.720001Z",
+     "shell.execute_reply": "2023-10-25T18:32:38.719335Z"
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    "outputs": [],
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:07.637087Z",
-     "iopub.status.busy": "2023-10-25T15:43:07.636003Z",
-     "iopub.status.idle": "2023-10-25T15:43:07.640877Z",
-     "shell.execute_reply": "2023-10-25T15:43:07.640424Z"
+     "iopub.execute_input": "2023-10-25T18:32:38.726832Z",
+     "iopub.status.busy": "2023-10-25T18:32:38.725377Z",
+     "iopub.status.idle": "2023-10-25T18:32:38.731633Z",
+     "shell.execute_reply": "2023-10-25T18:32:38.731085Z"
     }
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    "outputs": [],
@@ -93,10 +93,10 @@
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    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:07.644767Z",
-     "iopub.status.busy": "2023-10-25T15:43:07.643840Z",
-     "iopub.status.idle": "2023-10-25T15:43:07.647865Z",
-     "shell.execute_reply": "2023-10-25T15:43:07.647427Z"
+     "iopub.execute_input": "2023-10-25T18:32:38.736350Z",
+     "iopub.status.busy": "2023-10-25T18:32:38.735268Z",
+     "iopub.status.idle": "2023-10-25T18:32:38.740093Z",
+     "shell.execute_reply": "2023-10-25T18:32:38.739255Z"
     }
    },
    "outputs": [],
diff --git a/tutorials/02-orbital-rotation.ipynb b/tutorials/02-orbital-rotation.ipynb
index 1c6a1d9bc..15b159131 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": "2023-10-25T15:43:09.218913Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.218607Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.545598Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.544551Z"
+     "iopub.execute_input": "2023-10-25T18:32:40.606503Z",
+     "iopub.status.busy": "2023-10-25T18:32:40.606254Z",
+     "iopub.status.idle": "2023-10-25T18:32:40.974567Z",
+     "shell.execute_reply": "2023-10-25T18:32:40.973835Z"
     }
    },
    "outputs": [],
@@ -111,10 +111,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:09.549650Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.548410Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.591087Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.590631Z"
+     "iopub.execute_input": "2023-10-25T18:32:40.979246Z",
+     "iopub.status.busy": "2023-10-25T18:32:40.978687Z",
+     "iopub.status.idle": "2023-10-25T18:32:41.011685Z",
+     "shell.execute_reply": "2023-10-25T18:32:41.011021Z"
     }
    },
    "outputs": [],
@@ -158,10 +158,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:09.595200Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.593873Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.613082Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.612573Z"
+     "iopub.execute_input": "2023-10-25T18:32:41.016819Z",
+     "iopub.status.busy": "2023-10-25T18:32:41.015661Z",
+     "iopub.status.idle": "2023-10-25T18:32:41.028429Z",
+     "shell.execute_reply": "2023-10-25T18:32:41.027826Z"
     }
    },
    "outputs": [],
@@ -201,10 +201,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:09.618350Z",
-     "iopub.status.busy": "2023-10-25T15:43:09.616862Z",
-     "iopub.status.idle": "2023-10-25T15:43:09.626583Z",
-     "shell.execute_reply": "2023-10-25T15:43:09.626030Z"
+     "iopub.execute_input": "2023-10-25T18:32:41.032989Z",
+     "iopub.status.busy": "2023-10-25T18:32:41.031903Z",
+     "iopub.status.idle": "2023-10-25T18:32:41.038531Z",
+     "shell.execute_reply": "2023-10-25T18:32:41.037927Z"
     }
    },
    "outputs": [],
diff --git a/tutorials/03-double-factorized.ipynb b/tutorials/03-double-factorized.ipynb
index 6219a9532..a0785bc14 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": "2023-10-25T15:43:11.112683Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.112283Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.555824Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.555129Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.132897Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.132015Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.628999Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.628125Z"
     }
    },
    "outputs": [
@@ -92,10 +92,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.561515Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.561187Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.568161Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.567690Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.641100Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.640451Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.647605Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.647036Z"
     }
    },
    "outputs": [
@@ -226,10 +226,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.570997Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.570526Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.575646Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.575065Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.650764Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.650304Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.655806Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.655237Z"
     }
    },
    "outputs": [],
@@ -284,10 +284,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.578092Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.577906Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.582744Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.582184Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.658973Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.658373Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.662835Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.662282Z"
     }
    },
    "outputs": [],
@@ -324,10 +324,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.585317Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.585096Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.589789Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.589321Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.666079Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.665448Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.670974Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.670424Z"
     }
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    "outputs": [
@@ -366,10 +366,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.592584Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.592053Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.601297Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.600853Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.674428Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.673575Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.686342Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.685738Z"
     }
    },
    "outputs": [
@@ -408,10 +408,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.604081Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.603530Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.611775Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.611205Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.689894Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.689161Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.700548Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.699931Z"
     }
    },
    "outputs": [
@@ -449,10 +449,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.614215Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.613877Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.658250Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.657589Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.703942Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.703280Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.747945Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.746857Z"
     }
    },
    "outputs": [
@@ -492,10 +492,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.660663Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.660438Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.694309Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.693447Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.752790Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.751458Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.781920Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.781329Z"
     }
    },
    "outputs": [
@@ -534,10 +534,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:11.696698Z",
-     "iopub.status.busy": "2023-10-25T15:43:11.696470Z",
-     "iopub.status.idle": "2023-10-25T15:43:11.712628Z",
-     "shell.execute_reply": "2023-10-25T15:43:11.712085Z"
+     "iopub.execute_input": "2023-10-25T18:32:43.786838Z",
+     "iopub.status.busy": "2023-10-25T18:32:43.785597Z",
+     "iopub.status.idle": "2023-10-25T18:32:43.801028Z",
+     "shell.execute_reply": "2023-10-25T18:32:43.800446Z"
     }
    },
    "outputs": [
diff --git a/tutorials/04-lucj.html b/tutorials/04-lucj.html
index 929c685ab..da947603c 100644
--- a/tutorials/04-lucj.html
+++ b/tutorials/04-lucj.html
@@ -95,7 +95,7 @@ <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
+converged SCF energy = -77.4456267643961
 CASCI E = -77.6290254326716  E(CI) = -3.57322412553862  S^2 = 0.0000000
 </pre></div></div>
 </div>
@@ -150,8 +150,8 @@ <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) = -77.49387212754473  E_corr = -0.04824536314851363
-Energy at initialialization: -77.4697560002167
+E(CCSD) = -77.49387212754465  E_corr = -0.04824536314851272
+Energy at initialialization: -77.46975600021639
 </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>
@@ -192,12 +192,12 @@ <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: -77.62900974804887
-        x: [-2.061e-01  6.960e-01 ... -6.039e-01  1.481e-01]
-      nit: 191
-      jac: [ 2.842e-05  8.527e-06 ...  3.638e-04 -1.421e-05]
-     nfev: 15257
-     njev: 209
+      fun: -77.62900707053015
+        x: [-2.901e-01  5.290e-02 ... -3.301e-01  2.687e-01]
+      nit: 367
+      jac: [ 2.103e-04 -1.862e-04 ...  9.663e-05  1.535e-04]
+     nfev: 28616
+     njev: 392
  hess_inv: &lt;72x72 LbfgsInvHessProduct with dtype=float64&gt;
 </pre></div></div>
 </div>
@@ -258,12 +258,12 @@ <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: -77.62844987758717
-        x: [ 2.288e+00  1.961e-01 ...  5.959e-02  5.341e-02]
-      nit: 293
-      jac: [-1.705e-05 -4.491e-04 ...  9.948e-06  1.876e-04]
-     nfev: 14758
-     njev: 314
+      fun: -77.62873943133823
+        x: [ 3.033e+00  9.747e-01 ... -6.260e-01 -1.970e-03]
+      nit: 684
+      jac: [-2.416e-05  3.979e-05 ... -9.948e-06  2.842e-06]
+     nfev: 34357
+     njev: 731
  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 11aeff63c..13e597820 100644
--- a/tutorials/04-lucj.ipynb
+++ b/tutorials/04-lucj.ipynb
@@ -14,10 +14,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:13.794137Z",
-     "iopub.status.busy": "2023-10-25T15:43:13.793472Z",
-     "iopub.status.idle": "2023-10-25T15:43:14.485449Z",
-     "shell.execute_reply": "2023-10-25T15:43:14.484847Z"
+     "iopub.execute_input": "2023-10-25T18:32:46.153388Z",
+     "iopub.status.busy": "2023-10-25T18:32:46.152671Z",
+     "iopub.status.idle": "2023-10-25T18:32:46.896240Z",
+     "shell.execute_reply": "2023-10-25T18:32:46.895557Z"
     }
    },
    "outputs": [
@@ -25,7 +25,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "converged SCF energy = -77.4456267643962\n"
+      "converged SCF energy = -77.4456267643961\n"
      ]
     },
     {
@@ -110,10 +110,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:14.490345Z",
-     "iopub.status.busy": "2023-10-25T15:43:14.489152Z",
-     "iopub.status.idle": "2023-10-25T15:43:15.020858Z",
-     "shell.execute_reply": "2023-10-25T15:43:15.020325Z"
+     "iopub.execute_input": "2023-10-25T18:32:46.901699Z",
+     "iopub.status.busy": "2023-10-25T18:32:46.900345Z",
+     "iopub.status.idle": "2023-10-25T18:32:47.490302Z",
+     "shell.execute_reply": "2023-10-25T18:32:47.489591Z"
     }
    },
    "outputs": [
@@ -121,14 +121,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.49387212754473  E_corr = -0.04824536314851363\n"
+      "E(CCSD) = -77.49387212754465  E_corr = -0.04824536314851272\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -77.4697560002167\n"
+      "Energy at initialialization: -77.46975600021639\n"
      ]
     }
    ],
@@ -176,10 +176,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:43:15.024892Z",
-     "iopub.status.busy": "2023-10-25T15:43:15.023990Z",
-     "iopub.status.idle": "2023-10-25T15:44:00.930698Z",
-     "shell.execute_reply": "2023-10-25T15:44:00.930173Z"
+     "iopub.execute_input": "2023-10-25T18:32:47.494036Z",
+     "iopub.status.busy": "2023-10-25T18:32:47.493674Z",
+     "iopub.status.idle": "2023-10-25T18:34:24.997541Z",
+     "shell.execute_reply": "2023-10-25T18:34:24.996790Z"
     }
    },
    "outputs": [
@@ -191,12 +191,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62900974804887\n",
-      "        x: [-2.061e-01  6.960e-01 ... -6.039e-01  1.481e-01]\n",
-      "      nit: 191\n",
-      "      jac: [ 2.842e-05  8.527e-06 ...  3.638e-04 -1.421e-05]\n",
-      "     nfev: 15257\n",
-      "     njev: 209\n",
+      "      fun: -77.62900707053015\n",
+      "        x: [-2.901e-01  5.290e-02 ... -3.301e-01  2.687e-01]\n",
+      "      nit: 367\n",
+      "      jac: [ 2.103e-04 -1.862e-04 ...  9.663e-05  1.535e-04]\n",
+      "     nfev: 28616\n",
+      "     njev: 392\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:00.933725Z",
-     "iopub.status.busy": "2023-10-25T15:44:00.933370Z",
-     "iopub.status.idle": "2023-10-25T15:44:44.799763Z",
-     "shell.execute_reply": "2023-10-25T15:44:44.799185Z"
+     "iopub.execute_input": "2023-10-25T18:34:25.001756Z",
+     "iopub.status.busy": "2023-10-25T18:34:25.001422Z",
+     "iopub.status.idle": "2023-10-25T18:36:21.111645Z",
+     "shell.execute_reply": "2023-10-25T18:36:21.110986Z"
     }
    },
    "outputs": [
@@ -266,12 +266,12 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.62844987758717\n",
-      "        x: [ 2.288e+00  1.961e-01 ...  5.959e-02  5.341e-02]\n",
-      "      nit: 293\n",
-      "      jac: [-1.705e-05 -4.491e-04 ...  9.948e-06  1.876e-04]\n",
-      "     nfev: 14758\n",
-      "     njev: 314\n",
+      "      fun: -77.62873943133823\n",
+      "        x: [ 3.033e+00  9.747e-01 ... -6.260e-01 -1.970e-03]\n",
+      "      nit: 684\n",
+      "      jac: [-2.416e-05  3.979e-05 ... -9.948e-06  2.842e-06]\n",
+      "     nfev: 34357\n",
+      "     njev: 731\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
      ]
     }
diff --git a/tutorials/05-entanglement-forging.html b/tutorials/05-entanglement-forging.html
index b6fcde132..80beed515 100644
--- a/tutorials/05-entanglement-forging.html
+++ b/tutorials/05-entanglement-forging.html
@@ -139,7 +139,7 @@ <h1>Entanglement forging<a class="headerlink" href="#Entanglement-forging" title
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Energy at initialialization: -75.68366174447618
+Energy at initialialization: -75.68366174447621
 </pre></div></div>
 </div>
 <div class="nbinput docutils container">
@@ -178,7 +178,7 @@ <h1>Entanglement forging<a class="headerlink" href="#Entanglement-forging" title
  message: Maximum number of function evaluations has been exceeded.
  success: False
   status: 2
-     fun: -75.69448131190485
+     fun: -75.69448131100955
        x: [ 1.354e+00  9.651e-02 -1.863e-03  1.095e+00 -2.132e-01]
     nfev: 100
    maxcv: 0.0
diff --git a/tutorials/05-entanglement-forging.ipynb b/tutorials/05-entanglement-forging.ipynb
index f5ee36322..241f6d694 100644
--- a/tutorials/05-entanglement-forging.ipynb
+++ b/tutorials/05-entanglement-forging.ipynb
@@ -14,10 +14,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:46.454082Z",
-     "iopub.status.busy": "2023-10-25T15:44:46.453836Z",
-     "iopub.status.idle": "2023-10-25T15:44:47.123096Z",
-     "shell.execute_reply": "2023-10-25T15:44:47.122385Z"
+     "iopub.execute_input": "2023-10-25T18:36:23.019830Z",
+     "iopub.status.busy": "2023-10-25T18:36:23.018810Z",
+     "iopub.status.idle": "2023-10-25T18:36:23.730213Z",
+     "shell.execute_reply": "2023-10-25T18:36:23.729474Z"
     }
    },
    "outputs": [
@@ -90,10 +90,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:47.127140Z",
-     "iopub.status.busy": "2023-10-25T15:44:47.126007Z",
-     "iopub.status.idle": "2023-10-25T15:44:47.149976Z",
-     "shell.execute_reply": "2023-10-25T15:44:47.149424Z"
+     "iopub.execute_input": "2023-10-25T18:36:23.734273Z",
+     "iopub.status.busy": "2023-10-25T18:36:23.733639Z",
+     "iopub.status.idle": "2023-10-25T18:36:23.758560Z",
+     "shell.execute_reply": "2023-10-25T18:36:23.757947Z"
     }
    },
    "outputs": [
@@ -101,7 +101,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -75.68366174447618\n"
+      "Energy at initialialization: -75.68366174447621\n"
      ]
     }
    ],
@@ -135,10 +135,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:47.152942Z",
-     "iopub.status.busy": "2023-10-25T15:44:47.152428Z",
-     "iopub.status.idle": "2023-10-25T15:44:49.043086Z",
-     "shell.execute_reply": "2023-10-25T15:44:49.042201Z"
+     "iopub.execute_input": "2023-10-25T18:36:23.762906Z",
+     "iopub.status.busy": "2023-10-25T18:36:23.762360Z",
+     "iopub.status.idle": "2023-10-25T18:36:25.857396Z",
+     "shell.execute_reply": "2023-10-25T18:36:25.856608Z"
     }
    },
    "outputs": [
@@ -150,7 +150,7 @@
       " message: Maximum number of function evaluations has been exceeded.\n",
       " success: False\n",
       "  status: 2\n",
-      "     fun: -75.69448131190485\n",
+      "     fun: -75.69448131100955\n",
       "       x: [ 1.354e+00  9.651e-02 -1.863e-03  1.095e+00 -2.132e-01]\n",
       "    nfev: 100\n",
       "   maxcv: 0.0\n"
diff --git a/tutorials/06-fermion-operator.html b/tutorials/06-fermion-operator.html
index 155d50fe5..f887461bd 100644
--- a/tutorials/06-fermion-operator.html
+++ b/tutorials/06-fermion-operator.html
@@ -79,8 +79,8 @@ <h1>The FermionOperator class<a class="headerlink" href="#The-FermionOperator-cl
 <div class="highlight"><pre>
 FermionOperator({
     (cre_a(0), des_a(3)): 0.5,
-    (cre_b(1), des_b(5), cre_a(4)): 1+1j,
-    (cre_a(3), des_a(0)): -0.25
+    (cre_a(3), des_a(0)): -0.25,
+    (cre_b(1), des_b(5), cre_a(4)): 1+1j
 })
 </pre></div></div>
 </div>
@@ -99,7 +99,7 @@ <h1>The FermionOperator class<a class="headerlink" href="#The-FermionOperator-cl
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&#39;FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j})&#39;
+&#39;FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})&#39;
 </pre></div></div>
 </div>
 <p>FermionOperators support arithmetic operations. Note that when multiplying a FermionOperator by a scalar, the scalar must go on the left, i.e. <code class="docutils literal notranslate"><span class="pre">2</span> <span class="pre">*</span> <span class="pre">op</span></code> and not <code class="docutils literal notranslate"><span class="pre">op</span> <span class="pre">*</span> <span class="pre">2</span></code>.</p>
@@ -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_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
     (des_a(3), des_b(3)): 0.0625,
-    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
-    (cre_a(0), des_a(3)): 1,
     (cre_a(3), des_a(0)): -0.5,
-    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,
-    (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,
-    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
     (cre_b(2)): 0-0.25j,
-    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j
+    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
+    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
+    (cre_a(0), des_a(3)): 1,
+    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
+    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
+    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
+    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j
 })
 </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_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
     (des_a(3), des_b(3)): 0-1.25j,
-    (cre_a(3), des_a(0), cre_b(2)): -1,
-    (cre_a(0), des_a(3)): 0-6j,
     (cre_a(3), des_a(0)): 0+3j,
-    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,
-    (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,
-    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
     (cre_b(2)): -5,
-    (cre_a(0), des_a(3), cre_b(2)): 2
+    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
+    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
+    (cre_a(0), des_a(3)): 0-6j,
+    (cre_a(3), des_a(0), cre_b(2)): -1,
+    (cre_a(0), des_a(3), cre_b(2)): 2,
+    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
+    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j
 })
 </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), cre_a(0), des_a(3)): 2,
+    (des_b(3), des_a(3)): 0+1.25j,
+    (cre_b(1), cre_a(4), des_b(5)): -12+12j,
+    (cre_b(2)): -5,
+    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
+    (cre_a(3), des_a(0)): 0+3j,
     (cre_a(0), des_a(3)): 0-6j,
-    (cre_b(2), cre_a(3), des_a(0)): -1,
     (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
-    (des_b(3), des_a(3)): 0+1.25j,
     (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
-    (cre_b(2)): -5,
-    (cre_b(1), cre_a(4), des_b(5)): -12+12j,
-    (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
 })
 </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        ,
-       0.10689262+0.07164639j, 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        ,
+       -0.08388787+0.07863985j,  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/06-fermion-operator.ipynb b/tutorials/06-fermion-operator.ipynb
index b75adf86d..37538eb0f 100644
--- a/tutorials/06-fermion-operator.ipynb
+++ b/tutorials/06-fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.453080Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.452830Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.777752Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.777096Z"
+     "iopub.execute_input": "2023-10-25T18:36:27.678443Z",
+     "iopub.status.busy": "2023-10-25T18:36:27.677981Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.041021Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.040270Z"
     }
    },
    "outputs": [
@@ -41,8 +41,8 @@
       "text/plain": [
        "FermionOperator({\n",
        "    (cre_a(0), des_a(3)): 0.5,\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
-       "    (cre_a(3), des_a(0)): -0.25\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j\n",
        "})"
       ]
      },
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.782537Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.781216Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.787490Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.786932Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.044380Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.044026Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.050460Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.049784Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 3), (False, False, 0)): -0.25+0j})'"
+       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.790843Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.790452Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.797110Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.796669Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.054240Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.053970Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.061238Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.060605Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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), des_a(3), des_b(3)): 0.0625,\n",
        "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3)): 1,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
-       "    (cre_a(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",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
        "    (cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j\n",
        "})"
       ]
      },
@@ -169,10 +169,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.800905Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.799881Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.805573Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.805142Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.064715Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.064466Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.071043Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.070405Z"
     }
    },
    "outputs": [
@@ -180,17 +180,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\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), des_a(3), des_b(3)): 0-0.25j,\n",
        "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(0), des_a(3)): 0-6j,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
-       "    (cre_a(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",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
        "    (cre_b(2)): -5,\n",
-       "    (cre_a(0), des_a(3), cre_b(2)): 2\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
+       "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j\n",
        "})"
       ]
      },
@@ -219,10 +219,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.808911Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.808515Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.814437Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.813969Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.074475Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.074231Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.080556Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.079915Z"
     }
    },
    "outputs": [
@@ -230,16 +230,16 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
+       "    (des_b(3), des_a(3)): 0+1.25j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
        "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
-       "    (des_b(3), des_a(3)): 0+1.25j,\n",
        "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2)): -5,\n",
-       "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\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",
        "})"
       ]
      },
@@ -264,10 +264,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.817463Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.817126Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.822280Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.821833Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.083964Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.083724Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.088484Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.086805Z"
     }
    },
    "outputs": [
@@ -297,10 +297,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.826070Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.825728Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.832170Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.831692Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.091676Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.091433Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.098307Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.097658Z"
     }
    },
    "outputs": [
@@ -340,21 +340,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-10-25T15:44:50.835839Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.834797Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.843122Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.842587Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.102033Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.101272Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.110913Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.110353Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.        +0.j        , 0.        +0.j        ,\n",
-       "       0.10689262+0.07164639j, 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",
+       "       -0.08388787+0.07863985j,  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": "2023-10-25T15:44:50.847129Z",
-     "iopub.status.busy": "2023-10-25T15:44:50.845886Z",
-     "iopub.status.idle": "2023-10-25T15:44:50.859157Z",
-     "shell.execute_reply": "2023-10-25T15:44:50.858621Z"
+     "iopub.execute_input": "2023-10-25T18:36:28.115840Z",
+     "iopub.status.busy": "2023-10-25T18:36:28.114438Z",
+     "iopub.status.idle": "2023-10-25T18:36:28.129197Z",
+     "shell.execute_reply": "2023-10-25T18:36:28.128639Z"
     }
    },
    "outputs": [