{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "623fdd43",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:16:59.408009Z",
     "iopub.status.busy": "2024-04-26T18:16:59.407718Z",
     "iopub.status.idle": "2024-04-26T18:16:59.411399Z",
     "shell.execute_reply": "2024-04-26T18:16:59.410970Z"
    },
    "nbsphinx": "hidden"
   },
   "outputs": [],
   "source": [
    "# Copyright 2024 Keysight Technologies Inc."
   ]
  },
  {
   "cell_type": "raw",
   "id": "dcdf12f2",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Example: Running CB\n",
    "===================\n",
    "\n",
    "This example explores the Cycle Benchmarking (:tqdoc:`CB`\\) protocol that allows us to\n",
    "characterize the process infidelity of a dressed cycle (a target cycle preceded by a\n",
    "cycle of random elements of the twirling group).\n",
    "\n",
    "Choosing Parameters\n",
    "-------------------\n",
    "\n",
    "The :py:func:`~trueq.make_cb` method generates a circuit collection to perform cycle\n",
    "benchmarking. The first argument required by :py:func:`~trueq.make_cb` is the cycle\n",
    "to be benchmarked. The second parameter ``n_random_cycles`` is also a required\n",
    "parameter, it tells :py:func:`~trueq.make_cb` how many times to apply the dressed\n",
    "cycle in each random circuit.\n",
    "\n",
    "The number of circuits for each circuit length, ``n_circuits``, is ``30`` by default\n",
    "and should be chosen to optimize the tradeoff between desired speed and accuracy of\n",
    "the estimation.\n",
    "\n",
    "The number of randomly chosen Pauli decay strings used to measure the process\n",
    "fidelity, ``n_decays``, should be chosen to exceed\n",
    ":math:`min(20, 4^{n_{qubits}} - 1)`\\. The default value for ``n_decays`` is ``20`` to\n",
    "satisfy this bound. Choosing a value lower than :math:`min(20, 4^{n_{qubits}} - 1)`\n",
    "may result in a biased estimate of the fidelity of the dressed cycle.\n",
    "\n",
    "The ``twirl`` parameter specifies which twirling group the random gates which\n",
    "form the pre-compiled dressed cycles are pulled from. By default,\n",
    ":py:func:`~trueq.make_cb` uses the Pauli group, ``\"P\"``.\n",
    "\n",
    "The choice of circuit lengths in ``n_random_cycles`` depends on the cycle being\n",
    "characterized as well as the selection of twirling group. If the cycle is a Clifford\n",
    "and the twirling group is ``\"P\"``, lengths should be chosen such that applying the\n",
    "cycle to be benchmarked ``n_random_cycles`` times will result in an identity\n",
    "operation. In the example below, we benchmark a cycle containing an :math:`X` gate and\n",
    "a controlled-:math:`Z` gate, both of which apply an identity operation when raised to\n",
    "even powers. We therefore choose cycle lengths ``4, 12, 24``. While the values of\n",
    "``n_random_cycles`` can be any multiple of ``2`` for this example, users should be\n",
    "careful to choose a range of values such that the exponential decay is evident in the\n",
    "plot; this will ensure that the fit function gets enough information to accurately\n",
    "estimate the fidelity of the dressed cycle. To validate that this condition has been\n",
    "satisfied, users can plot the data from the CB circuits after running the circuits on\n",
    "a simulator or on hardware to see where the chosen data points fall.\n",
    "\n",
    "The final parameter is a bool, ``propagate_correction``, which tells\n",
    ":py:func:`~trueq.make_cb` whether to compile correction gates for the\n",
    "twirling group into neighbouring cycles (``propagate_correction=False``) or\n",
    "propagate them to the end of the circuit (``propagate_correction=True``). By\n",
    "default, ``propagate_correction=False``. Warning: *propagating correction to the\n",
    "end of the circuit can result in arbitrary two-qubit gates at the end of the circuit!*\n",
    "The final circuit can be converted to a user-specified gateset using the\n",
    ":doc:`../compilation/index` tools.\n",
    "\n",
    "Benchmarking a Cycle\n",
    "--------------------\n",
    "\n",
    "We begin by initializing a cycle to benchmark:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "98ae9ca6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:16:59.414613Z",
     "iopub.status.busy": "2024-04-26T18:16:59.414333Z",
     "iopub.status.idle": "2024-04-26T18:17:01.688872Z",
     "shell.execute_reply": "2024-04-26T18:17:01.688309Z"
    }
   },
   "outputs": [],
   "source": [
    "import trueq as tq\n",
    "\n",
    "cycle = {(0,): tq.Gate.x, (1, 2): tq.Gate.cz}"
   ]
  },
  {
   "cell_type": "raw",
   "id": "fde7d05a",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Generate a circuit collection to run CB on the above cycle with ``n_circuits=30``\n",
    "random circuits for each circuit length in ``n_random_cycles=[4, 12, 24]`` and\n",
    "``n_decays=24`` randomly chosen Pauli decay strings. For the purpose of\n",
    "demonstrating how to recognize a poor choice of ``n_random_cycles``, we generate a\n",
    "second CB circuit collection with the same parameters, except\n",
    "``n_random_cycles=[2, 4, 6]``. A good choice of ``n_random_cycles`` will result in\n",
    "a lower uncertainty in the fit parameters and therefore a more accurate estimate of\n",
    "the average gate fidelity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c83034aa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:01.691745Z",
     "iopub.status.busy": "2024-04-26T18:17:01.691160Z",
     "iopub.status.idle": "2024-04-26T18:17:02.344717Z",
     "shell.execute_reply": "2024-04-26T18:17:02.343803Z"
    }
   },
   "outputs": [],
   "source": [
    "circuits = tq.make_cb(cycle, [4, 12, 24], 30, 24)\n",
    "bad_circuits = tq.make_cb(cycle, [2, 4, 6], 30, 6)"
   ]
  },
  {
   "cell_type": "raw",
   "id": "47fec631",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Initialize a simulator with stochastic Pauli noise and run the cycle benchmarking\n",
    "circuits on the simulator to populate their results. Given this error model, we\n",
    "expect the individual Pauli infidelities corresponding to strings with more than two\n",
    ":math:`Z` or :math:`Y` to be :math:`0.01 \\times 2 \\times` \\# of :math:`Z/X` terms,\n",
    "where the factor of two comes from simulating errors in both the random and\n",
    "interleaved cycles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6c082218",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:02.347311Z",
     "iopub.status.busy": "2024-04-26T18:17:02.347056Z",
     "iopub.status.idle": "2024-04-26T18:17:06.402761Z",
     "shell.execute_reply": "2024-04-26T18:17:06.402224Z"
    }
   },
   "outputs": [],
   "source": [
    "sim = tq.Simulator().add_stochastic_pauli(px=0.01)\n",
    "sim.run(circuits)\n",
    "sim.run(bad_circuits)"
   ]
  },
  {
   "cell_type": "raw",
   "id": "0728433a",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Plot the results of the circuits with badly chosen ``n_random_cycles``:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "139df18c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:06.405363Z",
     "iopub.status.busy": "2024-04-26T18:17:06.404955Z",
     "iopub.status.idle": "2024-04-26T18:17:06.911591Z",
     "shell.execute_reply": "2024-04-26T18:17:06.911060Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 450x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bad_circuits.plot.raw()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "73c56a9f",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "We can see in the plots above that our choices of ``n_random_cycles`` are sampling\n",
    "from the nearly linear portion of the exponential decay. While this is valid, it is\n",
    "not efficient (in terms of the amount of required data) at precisely learning the\n",
    "decay rates. Below, we show the same plots for the better choice\n",
    "``n_random_cycles=[4, 12, 24]`` (ideally, the best place to sample is\n",
    ":math:`1/e\\approx 0.37`\\)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "51bdadcd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:06.913775Z",
     "iopub.status.busy": "2024-04-26T18:17:06.913581Z",
     "iopub.status.idle": "2024-04-26T18:17:08.372734Z",
     "shell.execute_reply": "2024-04-26T18:17:08.372312Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 450x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuits.plot.raw()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "d00e1d81",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "The output parameters of this protocol are displayed below using the\n",
    ":py:func:`~trueq.CircuitCollection.fit` function. When the circuits were generated,\n",
    "``n_decays=24`` random three-qubit Paulis were chosen as representatives, and the\n",
    "rate of decay of each was measured; these decay rates are reported. However, the\n",
    "parameter of interest is the composite parameter ``e_F``, which is an estimate of the\n",
    "process infidelity of the entire cycle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "deba3d28",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:08.374844Z",
     "iopub.status.busy": "2024-04-26T18:17:08.374533Z",
     "iopub.status.idle": "2024-04-26T18:17:08.611504Z",
     "shell.execute_reply": "2024-04-26T18:17:08.611083Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "<div class=\"tq-trusted\">True-Q formatting will not be loaded without trusting this\n",
       "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n",
       "\"File -> Trust Notebook\".</div>\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<table class=\"tq-table tq-right-border \" id=\"id65941319827981770057718292958696960753\">\n",
       "    \n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "                \n",
       "    <tr class=\"tq-highlight\">\n",
       "        <td class=\"protocol\" style=\"vertical-align: bottom;\">\n",
       "            <div style=\"font-weight: bold;\">CB</div>\n",
       "            <div class=\"tq-tooltip\">Cycle Benchmarking</div>\n",
       "        </td>\n",
       "            \n",
       "            <td>\n",
       "                Paulis\n",
       "\n",
       "                            \n",
       "                            <p style=\"font-weight: bold;\">(0,) : Gate.x</p>\n",
       "                            \n",
       "                            <p style=\"font-weight: bold;\">(1, 2) : Gate.cz</p>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    <dl>\n",
       "                        <dt>Key:</dt>\n",
       "                        <dd>\n",
       "                            <ul>\n",
       "                                    <li>cycles: (Cycle((0,): Gate.x, (1, 2): Gate.cz),)</li>\n",
       "                                    <li>labels: (0, 1, 2)</li>\n",
       "                                    <li>protocol: CB</li>\n",
       "                                    <li>twirl: Paulis on [0, 1, 2]</li>\n",
       "                            </ul>\n",
       "                        </dd>\n",
       "                    </dl>\n",
       "                </div>\n",
       "            </td>\n",
       "    </tr>\n",
       "    \n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{F}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of an error acting on the specified labels during a dressed cycle of interest.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        7.0e-02 (5.2e-03)\n",
       "                        <div class=\"tq-tooltip\">0.07004009292219604, 0.005224644061859647</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{III}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01 (5.2e-03)\n",
       "                        <div class=\"tq-tooltip\">0.929959907077804, 0.005224644061859647</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.6e-01 (3.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8572524724864501, 0.035151066005922445</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (1.9e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9041630554501853, 0.019101509499363116</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (1.7e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9046384125229662, 0.016673914415200244</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01 (9.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9172649669378943, 0.009282671746887756</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01 (8.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9178200864723023, 0.008271529140448054</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (9.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.8986747898147458, 0.00968493653037383</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01 (6.6e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9207877274139996, 0.0066279573217489654</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (1.4e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8896976028684801, 0.01440120272976041</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (2.2e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8887585808198403, 0.021854136874028145</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.1e-01 (1.3e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9142224995396199, 0.013210367810893957</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (6.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9413616926443233, 0.006662072023703954</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (1.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9032161844934384, 0.017588237682121165</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YXI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01 (4.5e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9495085056136472, 0.00453856205208943</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YIX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (4.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9389473153208007, 0.004300847634303788</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (2.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9770098626296241, 0.002317154902601905</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XZI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01 (3.8e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9532449400874499, 0.0038028543928984183</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (4.1e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9596370794946087, 0.004104855147224384</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (6.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9353380050050057, 0.00666793871670377</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XXZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (2.2e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9754096176680155, 0.0021697203289248006</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XXY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (3.8e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9575506795168859, 0.0038270109340705592</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (3.0e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9611878405006208, 0.0029599626001712573</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IXX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (4.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9567738600503727, 0.004741126918604711</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (1.5e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9599354074632576, 0.0015473370054274313</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (3.1e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9366365850527654, 0.003066733930085238</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.2e+00 (3.6e-01)\n",
       "                        <div class=\"tq-tooltip\">1.2237925695548877, 0.35610676739690617</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01 (1.4e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9309778599235778, 0.1439318967907059</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (1.3e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9626648702998909, 0.13312750841730667</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01 (7.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9505669468392534, 0.07461025464618122</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01 (6.6e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9290660355621322, 0.06597250772360566</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (7.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9750520484065625, 0.07834592020819117</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (5.7e-02)\n",
       "                        <div class=\"tq-tooltip\">1.001640480661014, 0.057309707570599264</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (1.2e-01)\n",
       "                        <div class=\"tq-tooltip\">1.0118411393458793, 0.11967972175131687</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (1.7e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9423012350940094, 0.16833603022182636</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (9.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.887187869718767, 0.0975003011665624</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (5.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9020379025483662, 0.05492412511932285</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01 (1.4e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9710656358177482, 0.13876656308261037</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YXI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (4.0e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8850266111072104, 0.040256840769439174</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YIX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (3.7e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9810534867699633, 0.03721180116354824</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01 (2.2e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9655337054525753, 0.02175971691415384</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XZI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (3.5e-02)\n",
       "                        <div class=\"tq-tooltip\">1.0032839768283828, 0.03547755094456757</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (3.6e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9416761451820955, 0.03608629665559626</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (5.7e-02)\n",
       "                        <div class=\"tq-tooltip\">1.0046720046484676, 0.057431413862642326</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XXZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (2.1e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9983665823647017, 0.021467885377639117</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XXY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (3.7e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9448690589939369, 0.036925817251788756</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (2.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9418311988447358, 0.027978009497041465</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IXX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.9e-01 (4.1e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9943968896085044, 0.04098821909341424</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.9e-01 (1.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.985956810820951, 0.014622886330565401</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (2.7e-02)\n",
       "                        <div class=\"tq-tooltip\">1.0072085927367365, 0.02701337103264106</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "            \n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "</table>\n",
       "\n",
       "\n",
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      ],
      "text/plain": [
       "EstimateCollection(1)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuits.fit()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "2c06a096",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "The default fit is to the process infidelity of the entire dressed cycle. We can also\n",
    "manually specify qubit labels to query the process infidelity of subsets of qubits,\n",
    "whose errors will be with respect to the context of the entire cycle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "08a5de6a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:08.613784Z",
     "iopub.status.busy": "2024-04-26T18:17:08.613279Z",
     "iopub.status.idle": "2024-04-26T18:17:08.994988Z",
     "shell.execute_reply": "2024-04-26T18:17:08.994565Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuits.fit(labels=[0, [1, 2], [0, 1, 2]]).plot.compare_twirl(\"e_F\")"
   ]
  },
  {
   "cell_type": "raw",
   "id": "6eea6edc",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Finally, we can compare the individual Pauli infidelities (see :tqdoc:`CB` for\n",
    "definitions), whose average value estimates the process infidelity. See also\n",
    "stochastic calibration :tqdoc:`SC` to select these curves manually."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f6dad14e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:08.997140Z",
     "iopub.status.busy": "2024-04-26T18:17:08.996767Z",
     "iopub.status.idle": "2024-04-26T18:17:09.547900Z",
     "shell.execute_reply": "2024-04-26T18:17:09.547468Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuits.plot.compare_pauli_infidelities()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "7142bc61",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Targeting Specific Errors\n",
    "-------------------------\n",
    "We can also use cycle benchmarking to estimate the probabilities of specific errors.\n",
    "These errors can be supplied using an optional parameter ``targeted_errors`` at\n",
    "generation (see :py:func:`~trueq.make_cb` for more details) or by updating the keys\n",
    "of existing :tqdoc:`CB` circuits. We demonstrate the latter approach below. Note that\n",
    "if your circuits are already populated with results, the length of each error must\n",
    "correspond to the number of measurements in your circuits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e546e4ed",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:09.550133Z",
     "iopub.status.busy": "2024-04-26T18:17:09.549748Z",
     "iopub.status.idle": "2024-04-26T18:17:09.757032Z",
     "shell.execute_reply": "2024-04-26T18:17:09.756600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "<script>\n",
       "    if (trueq !== \"2.14.5\") {\n",
       "        var css = document.createElement(\"style\");\n",
       "        css.type = \"text/css\";\n",
       "        css.innerHTML = \"div.input,div.output_wrapper { z-index: auto;}.jp-OutputArea-output .tq-tooltip.tq-tooltip dl { width: unset;}.jp-OutputArea-output .tq-tooltip.tq-tooltip dt { display: flex; float: none;}.jp-RenderedHTMLCommon .tq-tooltip.tq-tooltip svg { max-width: unset; height: unset;}.tq-tooltip { background-color: #fff; border: 1px solid #333; border-radius: 2px; color: #000; display: none; font-size: 1em; font-weight: normal; line-height: normal; margin: 0px; overflow-wrap: normal; padding: 8px; position: fixed; text-align: left; z-index: 100;}.tq-tooltip.wrapped { max-width: 400px;}.tq-tooltip.tq-tooltip > dl > dd > ul { list-style-type: none; margin: 0px; padding: 0px;}.tq-tooltip.tq-tooltip > dl > dd > ul > li { list-style-type: none; margin: 0px 0px 0px 1em; padding: 0px;}.tq-tooltip.tq-tooltip dt { background: none !important; border-left: none !important; color: #134f6d !important; font-size: 1.1em; font-weight: bold; margin: 0px !important; padding: 0px;}.tq-tooltip.tq-tooltip dl { display: inline-block; margin: 0px; vertical-align: top;}.tq-tooltip.tq-tooltip dd { margin: 0px 10px 0px 0px;}.tq-tooltip canvas { outline: black 1px solid;}.tq-table tr,.tq-table.tq-table tr:nth-child(odd) { background: transparent; text-align: right;}.tq-table td { padding: 0px 3px 3px 3px; white-space: nowrap;}.tq-table td:hover { background-color: #ebf8ff;}.tq-table.tq-table tr:hover { background-color: #f5f5f5;}.tq-table td { min-width: 2em;}.tq-highlight { background-color: #f2f6ff !important;}.tq-highlight p { margin: 0px;}.tq-right-border td { border-right: 1px solid black;}.tq-trusted { display: none;}.tq-executor { line-height: 1; display: flex;}.tq-executor .indicator { background-color: #000000; height: 1em; width: 1em;}.tq-executor .indicator.cancelled { background-color: #800000;}.tq-executor .indicator.done { background-color: #90ee90;}.tq-executor .indicator.error { background-color: #ff0000;}.tq-executor .indicator.initializing { background-color: #a9a9a9;}.tq-executor .indicator.queued { background-color: #add8e6;}.tq-executor .indicator.running { background-color: #008000;}.tq-executor .indicator.validating { background-color: #ffa500;}.tq-executor .index { padding-left: 1em; text-align: right;}.tq-executor .status { min-width: 6em; padding-left: 1em;}.tq-executor .message { padding-left: 1em;}\";\n",
       "        document.head.appendChild(css);\n",
       "        var polyfill = document.createElement(\"script\");\n",
       "        polyfill.src = \"https://polyfill.io/v3/polyfill.min.js?features=es6\";\n",
       "        document.body.appendChild(polyfill);\n",
       "        var mathjax = document.createElement(\"script\");\n",
       "        mathjax.id = \"MathJax-script\";\n",
       "        mathjax.async = true;\n",
       "        mathjax.src = \"https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js\";\n",
       "        mathjax.innerHTML = \"MathJax = {tex2jax: {inlineMath: [['$', '$'], ['\\\\(', '\\\\)']]}};\";\n",
       "        document.body.appendChild(mathjax);\n",
       "        var trueq = \"2.14.5\";\n",
       "      }\n",
       "</script>\n",
       "<div class=\"tq-trusted\">True-Q formatting will not be loaded without trusting this\n",
       "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n",
       "\"File -> Trust Notebook\".</div>\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<table class=\"tq-table tq-right-border \" id=\"id65941319907209932571982630552240911089\">\n",
       "    \n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "                \n",
       "    <tr class=\"tq-highlight\">\n",
       "        <td class=\"protocol\" style=\"vertical-align: bottom;\">\n",
       "            <div style=\"font-weight: bold;\">CB</div>\n",
       "            <div class=\"tq-tooltip\">Cycle Benchmarking</div>\n",
       "        </td>\n",
       "            \n",
       "            <td>\n",
       "                Paulis\n",
       "\n",
       "                            \n",
       "                            <p style=\"font-weight: bold;\">(0,) : Gate.x</p>\n",
       "                            \n",
       "                            <p style=\"font-weight: bold;\">(1, 2) : Gate.cz</p>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    <dl>\n",
       "                        <dt>Key:</dt>\n",
       "                        <dd>\n",
       "                            <ul>\n",
       "                                    <li>cycles: (Cycle((0,): Gate.x, (1, 2): Gate.cz),)</li>\n",
       "                                    <li>labels: (0, 1, 2)</li>\n",
       "                                    <li>protocol: CB</li>\n",
       "                                    <li>twirl: Paulis on [0, 1, 2]</li>\n",
       "                            </ul>\n",
       "                        </dd>\n",
       "                    </dl>\n",
       "                </div>\n",
       "            </td>\n",
       "    </tr>\n",
       "    \n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{F}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of an error acting on the specified labels during a dressed cycle of interest.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        7.0e-02 (5.2e-03)\n",
       "                        <div class=\"tq-tooltip\">0.07004009292219604, 0.005224644061859647</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{ZII}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        -1.1e-02 (5.0e-03)\n",
       "                        <div class=\"tq-tooltip\">-0.011223839824967385, 0.004995883375437728</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{XII}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        2.3e-02 (3.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.02341069771633414, 0.003342780578849372</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{IIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        -6.9e-03 (5.4e-03)\n",
       "                        <div class=\"tq-tooltip\">-0.00694777631891158, 0.00541441014311624</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{IIX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.1e-02 (4.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.011032891401843326, 0.0046981708878685085</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{III}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01 (5.2e-03)\n",
       "                        <div class=\"tq-tooltip\">0.929959907077804, 0.005224644061859647</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.6e-01 (3.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8572524724864501, 0.035151066005922445</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (1.9e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9041630554501853, 0.019101509499363116</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (1.7e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9046384125229662, 0.016673914415200244</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01 (9.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9172649669378943, 0.009282671746887756</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01 (8.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9178200864723023, 0.008271529140448054</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (9.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.8986747898147458, 0.00968493653037383</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01 (6.6e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9207877274139996, 0.0066279573217489654</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{ZIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (1.4e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8896976028684801, 0.01440120272976041</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (2.2e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8887585808198403, 0.021854136874028145</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.1e-01 (1.3e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9142224995396199, 0.013210367810893957</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (6.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9413616926443233, 0.006662072023703954</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (1.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9032161844934384, 0.017588237682121165</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YXI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01 (4.5e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9495085056136472, 0.00453856205208943</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{YIX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (4.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9389473153208007, 0.004300847634303788</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (2.3e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9770098626296241, 0.002317154902601905</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XZI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01 (3.8e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9532449400874499, 0.0038028543928984183</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (4.1e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9596370794946087, 0.004104855147224384</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (6.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9353380050050057, 0.00666793871670377</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XXZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (2.2e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9754096176680155, 0.0021697203289248006</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{XXY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (3.8e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9575506795168859, 0.0038270109340705592</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (3.0e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9611878405006208, 0.0029599626001712573</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IXX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (4.7e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9567738600503727, 0.004741126918604711</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (1.5e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9599354074632576, 0.0015473370054274313</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{IIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (3.1e-03)\n",
       "                        <div class=\"tq-tooltip\">0.9366365850527654, 0.003066733930085238</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.2e+00 (3.6e-01)\n",
       "                        <div class=\"tq-tooltip\">1.2237925695548877, 0.35610676739690617</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01 (1.4e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9309778599235778, 0.1439318967907059</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01 (1.3e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9626648702998909, 0.13312750841730667</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01 (7.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9505669468392534, 0.07461025464618122</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01 (6.6e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9290660355621322, 0.06597250772360566</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (7.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9750520484065625, 0.07834592020819117</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (5.7e-02)\n",
       "                        <div class=\"tq-tooltip\">1.001640480661014, 0.057309707570599264</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{ZIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (1.2e-01)\n",
       "                        <div class=\"tq-tooltip\">1.0118411393458793, 0.11967972175131687</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YZZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (1.7e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9423012350940094, 0.16833603022182636</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YZY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (9.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.887187869718767, 0.0975003011665624</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.0e-01 (5.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9020379025483662, 0.05492412511932285</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YYZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01 (1.4e-01)\n",
       "                        <div class=\"tq-tooltip\">0.9710656358177482, 0.13876656308261037</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YXI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.9e-01 (4.0e-02)\n",
       "                        <div class=\"tq-tooltip\">0.8850266111072104, 0.040256840769439174</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{YIX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01 (3.7e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9810534867699633, 0.03721180116354824</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XZX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01 (2.2e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9655337054525753, 0.02175971691415384</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XZI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (3.5e-02)\n",
       "                        <div class=\"tq-tooltip\">1.0032839768283828, 0.03547755094456757</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XYX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (3.6e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9416761451820955, 0.03608629665559626</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XYI}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (5.7e-02)\n",
       "                        <div class=\"tq-tooltip\">1.0046720046484676, 0.057431413862642326</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XXZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (2.1e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9983665823647017, 0.021467885377639117</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{XXY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (3.7e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9448690589939369, 0.036925817251788756</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IYY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01 (2.8e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9418311988447358, 0.027978009497041465</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IXX}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.9e-01 (4.1e-02)\n",
       "                        <div class=\"tq-tooltip\">0.9943968896085044, 0.04098821909341424</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IIZ}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.9e-01 (1.5e-02)\n",
       "                        <div class=\"tq-tooltip\">0.985956810820951, 0.014622886330565401</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{IIY}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00 (2.7e-02)\n",
       "                        <div class=\"tq-tooltip\">1.0072085927367365, 0.02701337103264106</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "            \n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "</table>\n",
       "\n",
       "\n",
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      ],
      "text/plain": [
       "EstimateCollection(1)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "targets = tq.math.Weyls(\"XII_ZII_IIX_IIZ\")\n",
    "circuits.update_keys(targeted_errors=targets)\n",
    "circuits.fit()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "c7cd7f69",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "We can plot the probability of specific errors acting on the qubits during the cycle\n",
    "of interest:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2b9b6131",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:09.759331Z",
     "iopub.status.busy": "2024-04-26T18:17:09.758956Z",
     "iopub.status.idle": "2024-04-26T18:17:10.139515Z",
     "shell.execute_reply": "2024-04-26T18:17:10.139098Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuits.plot.compare_twirl([f\"e_{targ}\" for targ in targets])"
   ]
  },
  {
   "cell_type": "raw",
   "id": "de76af11",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Cycle Benchmarking on Qudits\n",
    "----------------------------\n",
    "The :py:meth:`~trueq.make_cb` function natively extends to higher-dimensional qudits\n",
    "without any modifications, however when it comes to our choice of parameters we need\n",
    "to take the qudit dimension into account.\n",
    "\n",
    "For this example, let's consider a three-qutrit system and a single cycle consisting\n",
    "of a qutrit :math:`X` gate and a controlled-:math:`Z` gate (analogous to the qubit\n",
    "example above):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8b085721",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:10.141832Z",
     "iopub.status.busy": "2024-04-26T18:17:10.141319Z",
     "iopub.status.idle": "2024-04-26T18:17:10.169528Z",
     "shell.execute_reply": "2024-04-26T18:17:10.169155Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "data": {
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       "DisplayWrapper(<svg xmlns=\"http://w...)"
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     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tq.settings.set_dim(3)\n",
    "\n",
    "cycle = {(0,): tq.Gate.x3, (1, 2): tq.Gate.cz3}\n",
    "\n",
    "# display the cycle in a circuit\n",
    "tq.Circuit(cycle).draw()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "0e7c29a0",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "To create the :tqdoc:`CB` circuits, we need to modify our selected values to\n",
    "``n_random_cycles`` such that all inputs are divisible by :math:`3`\\, since the\n",
    ":math:`CZ3` gate used in our cycle is of order :math:`3` (note that while the\n",
    ":math:`X3` gate also has order :math:`3`\\, it leaves the Weyl Transfer Matrix\n",
    "invariant up to a phase and hence does not impose a restriction on the sequence\n",
    "length):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bb9466eb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:10.171475Z",
     "iopub.status.busy": "2024-04-26T18:17:10.171166Z",
     "iopub.status.idle": "2024-04-26T18:17:11.111871Z",
     "shell.execute_reply": "2024-04-26T18:17:11.111378Z"
    }
   },
   "outputs": [],
   "source": [
    "circuits = tq.make_cb(cycle, [3, 12, 24], 30, 24)"
   ]
  },
  {
   "cell_type": "raw",
   "id": "6442c1d2",
   "metadata": {
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   },
   "source": [
    "As before, we instantiate a simulator with a stochastic :math:`X` error, but\n",
    "since we are now considering qudits, we implement a stochastic Weyl instead of Pauli\n",
    "error by calling the :py:meth:`~trueq.Simulator.add_stochastic_weyl` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "8cc603dc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:11.114531Z",
     "iopub.status.busy": "2024-04-26T18:17:11.114130Z",
     "iopub.status.idle": "2024-04-26T18:17:17.994898Z",
     "shell.execute_reply": "2024-04-26T18:17:17.994371Z"
    }
   },
   "outputs": [],
   "source": [
    "sim = tq.Simulator().add_stochastic_weyl(W10=0.01)\n",
    "sim.run(circuits)"
   ]
  },
  {
   "cell_type": "raw",
   "id": "7a3e1150",
   "metadata": {
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   "source": [
    ".. note::\n",
    "\n",
    "    Weyl operators are the generalization of the Pauli operators for higher\n",
    "    qudit dimensions. Technically, the :py:meth:`~trueq.Simulator.add_stochastic_weyl`\n",
    "    and :py:meth:`~trueq.Simulator.add_stochastic_pauli` methods for the\n",
    "    :py:class:`~trueq.Simulator` are aliases of each other and implement the same\n",
    "    operation, however we chose to use the\n",
    "    :py:meth:`~trueq.Simulator.add_stochastic_weyl`  just to be explicit. See also\n",
    "    :doc:`../../guides/fundamentals/qudit_math` for more information on the\n",
    "    mathematical background of Weyl operators.\n",
    "\n",
    "When we plot the resulting decays, we expect to see both a real and imaginary\n",
    "component of the fit parameters because the stochastic Weyl error channel for\n",
    "dimensions larger than :math:`2` has complex eigenvalues:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "bcfa1a09",
   "metadata": {
    "execution": {
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     "iopub.status.idle": "2024-04-26T18:17:20.894596Z",
     "shell.execute_reply": "2024-04-26T18:17:20.894107Z"
    }
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 900x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuits.plot.raw()"
   ]
  },
  {
   "cell_type": "raw",
   "id": "68774141",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    "Note that the decay parameters are now expressed in terms of Weyl operators instead of\n",
    "Paulis.\n",
    "\n",
    "And as before, we can inspect all fitted parameters by calling the\n",
    ":py:meth:`~trueq.CircuitCollection.fit` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "acd46403",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-04-26T18:17:20.897150Z",
     "iopub.status.busy": "2024-04-26T18:17:20.896777Z",
     "iopub.status.idle": "2024-04-26T18:17:21.162091Z",
     "shell.execute_reply": "2024-04-26T18:17:21.161617Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
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       "</script>\n",
       "<div class=\"tq-trusted\">True-Q formatting will not be loaded without trusting this\n",
       "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n",
       "\"File -> Trust Notebook\".</div>\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<table class=\"tq-table tq-right-border \" id=\"id75905060676310279437272763571907850993\">\n",
       "    \n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "                \n",
       "    <tr class=\"tq-highlight\">\n",
       "        <td class=\"protocol\" style=\"vertical-align: bottom;\">\n",
       "            <div style=\"font-weight: bold;\">CB</div>\n",
       "            <div class=\"tq-tooltip\">Cycle Benchmarking</div>\n",
       "        </td>\n",
       "            \n",
       "            <td>\n",
       "                Paulis\n",
       "\n",
       "                            \n",
       "                            <p style=\"font-weight: bold;\">(0,) : Gate.x3</p>\n",
       "                            \n",
       "                            <p style=\"font-weight: bold;\">(1, 2) : Gate.cz3</p>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    <dl>\n",
       "                        <dt>Key:</dt>\n",
       "                        <dd>\n",
       "                            <ul>\n",
       "                                    <li>cycles: (Cycle((0,): Gate.x3, (1, 2): Gate.cz3),)</li>\n",
       "                                    <li>labels: (0, 1, 2)</li>\n",
       "                                    <li>protocol: CB</li>\n",
       "                                    <li>twirl: Paulis on [0, 1, 2]</li>\n",
       "                            </ul>\n",
       "                        </dd>\n",
       "                    </dl>\n",
       "                </div>\n",
       "            </td>\n",
       "    </tr>\n",
       "    \n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{F}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of an error acting on the specified labels during a dressed cycle of interest.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        5.6e-02-0.0e+00j (4.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.056049740760708566-0j), 0.00485289503256181</div>\n",
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       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${e}_{W00W00W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    The probability of the subscripted error acting on the specified labels.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01+0.0e+00j (4.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9439502592392914+0j), 0.00485289503256181</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W22W20W22}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01+1.8e-02j (6.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9329886774170104+0.018360594183908792j), 0.006854841996365098</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W22W12W11}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01+1.8e-02j (5.7e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9381238180950169+0.01781554598703514j), 0.005730128124772712</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W22W11W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01+1.1e-02j (6.8e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9276980374126383+0.010712850456766716j), 0.006784344690092841</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W21W22W12}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-1.4e-02j (6.4e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9398897455357179-0.01421510699472264j), 0.006412987247396632</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W21W12W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-1.7e-02j (6.6e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9351139497758688-0.017184150504055716j), 0.006566533700969661</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W21W01W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-3.4e-02j (5.4e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.940345666148192-0.03355009658531377j), 0.005422267376617773</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W20W12W02}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01+1.8e-02j (4.0e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.949933626492043+0.01833577828889067j), 0.003963148087313608</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W20W10W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01+6.4e-04j (1.6e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9810910844654893+0.0006354907212936715j), 0.0015974375673026462</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W12W20W02}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01+1.4e-02j (4.2e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9497720895209986+0.01411436360534217j), 0.0041659374197815045</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W11W11W12}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-1.6e-02j (5.8e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9388770595156465-0.01629312510298171j), 0.005837584974819043</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W11W02W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01-3.9e-02j (7.1e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9245100141016572-0.038620229376452576j), 0.0070985765984242525</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W10W11W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01-1.6e-02j (3.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.953813611252825-0.015804053161001103j), 0.0039173481117884944</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W10W01W20}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01-4.0e-04j (1.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9812003908172329-0.00040434133624270074j), 0.0018900627973834595</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W10W01W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01-2.8e-05j (1.8e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9795284392908304-2.7838548172277942e-05j), 0.001763047584854601</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W02W21W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01+1.9e-02j (4.1e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.947485841655951+0.018831654710887775j), 0.004095157107319059</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W02W02W20}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01+1.7e-02j (4.1e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9516347315404182+0.01715960350070863j), 0.004063694693834375</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W02W00W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01-7.9e-04j (4.7e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9246865072827215-0.000790766364100958j), 0.004650173701735206</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W01W22W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01-1.9e-02j (7.8e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9316111514709152-0.018688033946613152j), 0.0077625649052555255</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W01W12W22}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01-1.4e-02j (5.7e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9333171583817003-0.014394123452667424j), 0.005677450152521261</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W01W10W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01-1.8e-02j (7.0e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9288802207710757-0.017552897258055773j), 0.007037949927838243</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W01W02W12}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01-2.5e-04j (8.2e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9173130684044493-0.00024825514222077483j), 0.008211767476455684</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W00W11W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01-3.9e-03j (3.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9567130857382478-0.0038618862621849987j), 0.0038867303572389603</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W00W11W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01-1.7e-02j (1.7e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.951662688598027-0.01723707862678923j), 0.0017433983924145966</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${p}_{W00W01W02}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    Decay parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-1.2e-03j (5.9e-03)\n",
       "                        <div class=\"tq-tooltip\">(0.9386155580583173-0.0011607061611736609j), 0.0059171635200705374</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W22W20W22}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01-4.8e-02j (5.2e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9601249915937368-0.04835831627506818j), 0.051584294856962705</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W22W12W11}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01-9.1e-03j (4.3e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9204724070784503-0.009062249383710448j), 0.04342784994541727</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W22W11W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.9e-01+2.0e-02j (5.2e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.98531430803667+0.019728483348721283j), 0.05219936162449876</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W21W22W12}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.8e-01-4.6e-02j (4.7e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.8814935251723358-0.04563326358090577j), 0.04673762495957015</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W21W12W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-4.1e-02j (5.2e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9400771002477902-0.040846671522123644j), 0.05224312367113614</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W21W01W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01-2.0e-02j (4.4e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.96363201276077-0.020362413694421606j), 0.043570282339886364</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W20W12W02}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01-3.5e-02j (3.2e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9654866052045782-0.035258035003161485j), 0.03155462781303916</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W20W10W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01-1.8e-02j (1.6e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9541308783786987-0.017536429984779136j), 0.01641465209616356</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W12W20W02}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01+5.6e-03j (3.3e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9496827009713168+0.005596020900512167j), 0.03283022081603062</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W11W11W12}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.2e-01-2.9e-02j (4.6e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9203099546123451-0.02879438284561096j), 0.04565204346998111</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W11W02W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01-1.7e-02j (5.5e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9320045802940097-0.01653502793650803j), 0.05515929883053845</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W10W11W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.3e-01-2.6e-02j (3.4e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9341101798026737-0.026104350219234174j), 0.033737391054037634</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W10W01W20}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.4e-01-3.3e-02j (1.7e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9371215541718817-0.03278027639114195j), 0.01710886677183053</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W10W01W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01-1.9e-02j (1.7e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9484706943124778-0.019115724016001208j), 0.017079522540186156</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W02W21W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        8.5e-01-5.0e-02j (3.3e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.8456964288119742-0.049707687451437284j), 0.03346672218242478</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W02W02W20}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01-4.0e-02j (3.4e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9681062075676168-0.040167844596232405j), 0.034423580499360056</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W02W00W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.7e-01+1.3e-02j (3.5e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9697245407215616+0.013384562265949676j), 0.03513201119127715</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W01W22W21}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01-1.2e-02j (5.7e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9472153185431812-0.012432122214787695j), 0.05697686978086869</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W01W12W22}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.6e-01-4.2e-02j (4.7e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9560589194203803-0.04190722291113897j), 0.04677732557615107</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W01W10W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.5e-01-3.0e-02j (5.3e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9517487935513218-0.029550308764882228j), 0.052975773482003864</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W01W02W12}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00-1.7e-02j (6.7e-02)\n",
       "                        <div class=\"tq-tooltip\">(1.0439291838840628-0.016584813359975477j), 0.06705692565631201</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W00W11W10}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        1.0e+00+1.2e-02j (3.2e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9988899365352669+0.012384608093651172j), 0.032330492222542175</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W00W11W00}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01+3.3e-03j (1.5e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9810221880775524+0.0033304943746464972j), 0.014820088737271427</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "        <tr>\n",
       "            <td>\n",
       "                <div style=\"display: inline-block; padding-left: 5px; text-align: right;\">\n",
       "                    ${A}_{W00W01W02}$\n",
       "                </div>\n",
       "                <div class=\"tq-tooltip\">\n",
       "                    SPAM parameter of the exponential decay $Ap^m$ for the given Pauli term.\n",
       "                </div>\n",
       "            </td>\n",
       "                \n",
       "                <td>\n",
       "                        9.8e-01-2.2e-02j (4.8e-02)\n",
       "                        <div class=\"tq-tooltip\">(0.9792989476145039-0.02222008867077291j), 0.0481418476155415</div>\n",
       "                </td>\n",
       "        </tr>\n",
       "            \n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "\n",
       "</table>\n",
       "\n",
       "\n",
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      ],
      "text/plain": [
       "EstimateCollection(1)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuits.fit()"
   ]
  }
 ],
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