{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8141ac5e",
   "metadata": {},
   "source": [
    "# quimb - qiskit MPS benchmark"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9aa5e1c0",
   "metadata": {},
   "source": [
    "Recent studies comparing different quantum backends, like the one collected in [feniqs_lite](https://arxiv.org/abs/2504.14027), have pointed out that $\\texttt{qiskit-aer}$ may be one of the fastest options to execute and sample a quantum circuit with classical resources, thanks to its underlying Rust/C++ implementation. Nevertheless, in a simple comparative study, we detect that this advantage depends strongly on the underlying circuit architecture when compared with $\\texttt{quimb}$.\n",
    "\n",
    "In this example, we explore the contraction and sampling times for two types of circuits: brickwork and random entangling patterns. Carrying out several simulations with the respective MPS classes in $\\texttt{qiskit-aer}$ and $\\texttt{quimb}$, we find that $\\texttt{quimb}$ becomes faster than $\\texttt{qiskit-aer}$ for deep enough circuits constituted by long-range gates. The data used in this study were computed on a laptop using a single CPU thread and are loaded from the accompanying JSON files."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a48bf289",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:51:47.570838Z",
     "iopub.status.busy": "2026-04-03T03:51:47.570683Z",
     "iopub.status.idle": "2026-04-03T03:51:48.886436Z",
     "shell.execute_reply": "2026-04-03T03:51:48.885609Z"
    }
   },
   "outputs": [],
   "source": [
    "import json\n",
    "import os\n",
    "from collections import Counter\n",
    "\n",
    "os.environ[\"NUMBA_NUM_THREADS\"] = \"1\"\n",
    "os.environ[\"OMP_NUM_THREADS\"] = \"1\"\n",
    "os.environ[\"MKL_NUM_THREADS\"] = \"1\"\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit_aer import AerSimulator\n",
    "\n",
    "from qpe_toolbox.circuit import (\n",
    "    deserialize_to_qiskit_QuantumCircuit,\n",
    "    deserialize_to_quimb_Circuit,\n",
    "    deserialize_to_quimb_CircuitMPS,\n",
    "    draw_layered_circuit,\n",
    "    generate_rand_circuit,\n",
    "    serialize_from_quimb_Circuit,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2ee16444",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:51:48.888098Z",
     "iopub.status.busy": "2026-04-03T03:51:48.887802Z",
     "iopub.status.idle": "2026-04-03T03:51:48.890962Z",
     "shell.execute_reply": "2026-04-03T03:51:48.890394Z"
    },
    "lines_to_next_cell": 1
   },
   "outputs": [],
   "source": [
    "def plot_errorbar(ax, x, y, yerr, mfc, *, fmt=\"o\", label=None):\n",
    "    return ax.errorbar(\n",
    "        x,\n",
    "        y,\n",
    "        yerr,\n",
    "        fmt=fmt,\n",
    "        mfc=mfc,\n",
    "        label=label,\n",
    "        markersize=6,\n",
    "        markeredgecolor=\"k\",\n",
    "        color=\"black\",\n",
    "        ecolor=\"black\",\n",
    "        elinewidth=0.5,\n",
    "        capsize=6,\n",
    "        capthick=0.5,\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58c30d14",
   "metadata": {},
   "source": [
    "## Circuit instances"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00a1af32",
   "metadata": {},
   "source": [
    "Let us visualize the smallest instances of circuits that explored throughout this example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "299ba058",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:51:48.892343Z",
     "iopub.status.busy": "2026-04-03T03:51:48.892112Z",
     "iopub.status.idle": "2026-04-03T03:51:48.910206Z",
     "shell.execute_reply": "2026-04-03T03:51:48.909534Z"
    }
   },
   "outputs": [],
   "source": [
    "circuit_types = (\"brick\", \"rand\")\n",
    "circuit_data = {}\n",
    "for ctype in circuit_types:\n",
    "    with open(\"precomputed_data/\" + ctype + \"_circ_perfo.json\") as fin:\n",
    "        circuit_data[ctype] = json.load(fin)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a4e0921e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:51:48.911623Z",
     "iopub.status.busy": "2026-04-03T03:51:48.911462Z",
     "iopub.status.idle": "2026-04-03T03:51:50.415755Z",
     "shell.execute_reply": "2026-04-03T03:51:50.414893Z"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 5200x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 5300x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for ctype in circuit_types:\n",
    "    circ = deserialize_to_quimb_Circuit(circuit_data[ctype][ctype + \"_16\"])\n",
    "    depth = max([gate.round for gate in circ.gates]) + 1\n",
    "    fig = draw_layered_circuit(\n",
    "        circ,\n",
    "        list_names=[\n",
    "            r\"$0$\",\n",
    "            [f\"$\\\\mathrm{{R_y^{{({j})}} }}$\" for j in range(1, depth + 1)],\n",
    "            [r\"$\\mathrm{CNOT}$\"] * depth,\n",
    "        ],\n",
    "        max_depth=depth,\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d264a1f3",
   "metadata": {},
   "source": [
    "The next cell contains a short code example demonstrating how we compare simulation timings:\n",
    "\n",
    "(1) we create or load already existing circuits with the functions introduced in `building_circuits`,\n",
    "\n",
    "(2) we run simulations (circuit execution + sampling) and access the times and samples,\n",
    "\n",
    "(3) we compare the results for both backends.\n",
    "\n",
    "The following code is also a sample of how we obtained the pre-computed data (note that we fixed the number of threads to 1):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "711a1a29",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:51:50.417384Z",
     "iopub.status.busy": "2026-04-03T03:51:50.417201Z",
     "iopub.status.idle": "2026-04-03T03:52:00.870680Z",
     "shell.execute_reply": "2026-04-03T03:52:00.869831Z"
    }
   },
   "outputs": [],
   "source": [
    "# Create small circuit\n",
    "depth = 3\n",
    "circ_quimb = generate_rand_circuit(\n",
    "    n_qubits=5,\n",
    "    depth=depth,\n",
    "    one_qubit_gate_label=\"rx\",\n",
    "    two_qubit_gate_label=\"cx\",\n",
    "    two_qubit_gate_range=4,\n",
    "    two_qubit_gate_prob=0.5,\n",
    ")\n",
    "\n",
    "# Recast it into the right classes\n",
    "circ_dict = serialize_from_quimb_Circuit(circ_quimb)\n",
    "circ_quimb = deserialize_to_quimb_CircuitMPS(\n",
    "    full_gate_dict=circ_dict, max_bond=2**depth, cutoff=10e-8\n",
    ")\n",
    "circ_qiskit = deserialize_to_qiskit_QuantumCircuit(circ_dict, measure=True)\n",
    "\n",
    "num_samples = 10**4  # pick the number of samples\n",
    "# Run qiskit\n",
    "simulator = AerSimulator(\n",
    "    method=\"matrix_product_state\",\n",
    "    matrix_product_state_max_bond_dimension=2**depth,\n",
    "    matrix_product_state_truncation_threshold=10e-8,\n",
    "    seed_simulator=1,\n",
    ")\n",
    "result = simulator.run(circ_qiskit, shots=num_samples).result()\n",
    "# qiskit inverts the layout order\n",
    "counts_qiskit = Counter({k[::-1]: v for k, v in result.get_counts().items()})\n",
    "\n",
    "# Run quimb\n",
    "counts_quimb = Counter(circ_quimb.sample(C=num_samples, seed=42))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2820e5aa",
   "metadata": {},
   "source": [
    "We can compare the bitstring histogram from both simulations as a sanity check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5909e801",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:52:00.872217Z",
     "iopub.status.busy": "2026-04-03T03:52:00.872040Z",
     "iopub.status.idle": "2026-04-03T03:52:01.070750Z",
     "shell.execute_reply": "2026-04-03T03:52:01.070027Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(\n",
    "    [counts_qiskit, counts_quimb],\n",
    "    legend=[\"qiskit\", \"quimb\"],\n",
    "    bar_labels=False,\n",
    "    figsize=(12, 5),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7e834ff",
   "metadata": {},
   "source": [
    "## Dependence of contraction and sampling times for quimb\n",
    "\n",
    "In the following we present a non-exhaustive study of the dependence of the MPS (layer-by-layer) contraction time $t_{\\mathrm{contr}}$ and sampling $t_{\\mathrm{sampl}}$ in $\\texttt{quimb}$. We will seek the trend of these times as the number of qubits `n_qubits` (length of the MPS) and depth rise; note that the depth of the circuit upper bounds the bond dimension $\\chi$ of the fully contracted MPS as $\\chi \\leq 2^{\\rm depth}$.\n",
    "\n",
    "We will compare the results for both types of quantum circuit instances introduced above. Since these classes of circuits are both random (in the sense that the parametrization of the single body gates is random), a thorough study would require averaging over circuit architectures and parametrizations. Such a study is beyond the scope of this example; we will actually observe that without averaging out this randomness we can extract solid comparisons.\n",
    "\n",
    "The conditions of the simulations include:\n",
    "- A maximum bond dimension `max_bond` $\\chi=2^{\\rm depth}$, such that the simulation should not introduce any norm truncation due to bond dimension capping.\n",
    "- A `cutoff` parameter, set to $\\varepsilon=10^{-10}$; this cutoff controls the tail of singular values that is cut out after a local gate application.\n",
    "\n",
    "A more natural prescription for the study than the one chosen here would be to set a maximum accumulated error in the norm $\\varepsilon_{\\mathrm{total}}$, and study the growth of $t_{\\mathrm{contr}}$, $t_{\\mathrm{sampl}}$ and $\\chi$ for that fixed threshold in `n_qubits` and $\\chi$. We avoid this prescription due to the difficulty of fixing the maximum error across different backends."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ffbae8f",
   "metadata": {},
   "source": [
    "### Dependence in the number of qubits"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f4cef6e",
   "metadata": {},
   "source": [
    "In the following plot we present our results in two columns: the left for brickwall circuits, and the right for random circuits. The chosen depths are `depth=1, 3, 5`, and the $\\texttt{quimb}$ class $\\texttt{PermMPS}$ is also used for random circuits with `depth=1`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "253ab115",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:52:01.072426Z",
     "iopub.status.busy": "2026-04-03T03:52:01.072244Z",
     "iopub.status.idle": "2026-04-03T03:52:02.746888Z",
     "shell.execute_reply": "2026-04-03T03:52:02.746092Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x931.677 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mycolors = (\"tab:red\", \"tab:orange\", \"tab:olive\", \"tab:purple\", \"tab:pink\", \"tab:cyan\")\n",
    "cases = (\"quimb MPS contr\", \"quimb MPS sampl 1\", \"quimb MPS sampl 10\")\n",
    "cases_perm = (\"quimb PermMPS contr\", \"quimb PermMPS sampl 1\", \"quimb PermMPS sampl 10\")\n",
    "dum = np.array([np.nan])\n",
    "circuit_sizes = 2 ** np.arange(4, 9)\n",
    "x_lines = np.linspace(circuit_sizes[0] / 2, circuit_sizes[-1] * 2)\n",
    "ylims = ((5e-4, 1.0), (1e-3, 1.0), (1e-3, 10.0))\n",
    "fig, axes = plt.subplots(3, 2, sharex=True, figsize=(5 * 2, 5 * 3 / 1.61))\n",
    "for idx, ax in np.ndenumerate(axes):\n",
    "    for instance in circuit_data[circuit_types[idx[1]]].values():\n",
    "        for i, c in enumerate(cases):\n",
    "            values = instance[f\"depth{2 * idx[0] + 1}\"][c]\n",
    "            plot_errorbar(\n",
    "                ax, instance[\"n_qubits\"], np.mean(values), np.std(values), mycolors[i]\n",
    "            )\n",
    "    ax.set_xlim(circuit_sizes[0] / 2, circuit_sizes[-1] * 2)\n",
    "    ax.set_xscale(\"log\", base=2)\n",
    "    ax.set_yscale(\"log\")\n",
    "    ax.set_xticks(circuit_sizes)\n",
    "    ax.get_xaxis().set_major_formatter(plt.ScalarFormatter())\n",
    "    ax.grid(which=\"both\", linestyle=\"-\", linewidth=0.25, alpha=0.5)\n",
    "    ax.set_ylim(ylims[idx[0]])\n",
    "    for m in range(16):\n",
    "        ax.plot(x_lines, 10 ** (m / 2) / 8e5 * x_lines, \"-\", color=\"grey\", alpha=0.1)\n",
    "for instance in circuit_data[circuit_types[1]].values():\n",
    "    for i, c in enumerate(cases_perm):\n",
    "        values = instance[\"depth1\"][c]\n",
    "        plot_errorbar(\n",
    "            axes[0, 1],\n",
    "            instance[\"n_qubits\"] * 1.15,\n",
    "            np.mean(values),\n",
    "            np.std(values),\n",
    "            mycolors[i + 3],\n",
    "            fmt=\"s\",\n",
    "        )\n",
    "for i in range(3):\n",
    "    axes[i, 0].set_ylabel(rf\"$\\text{{depth}}={2 * i + 1}$\")\n",
    "    axes[i, 1].set_yticklabels([])\n",
    "    plot_errorbar(axes[0, 1], dum, dum, dum, mycolors[i], label=cases[i][6:])\n",
    "    plot_errorbar(\n",
    "        axes[0, 1], dum, dum, dum, mycolors[i + 3], fmt=\"s\", label=cases_perm[i][6:]\n",
    "    )\n",
    "axes[0, 0].set_title(\"brickwall circuits\")\n",
    "axes[0, 1].set_title(\"random circuits\")\n",
    "axes[0, 1].legend(loc=\"lower right\", fontsize=8)\n",
    "axes[2, 0].set_xlabel(\"number of qubits\")\n",
    "axes[2, 1].set_xlabel(\"number of qubits\")\n",
    "fig.text(0.04, 0.5, \"wall-clock time\", va=\"center\", rotation=\"vertical\", fontsize=16)\n",
    "fig.tight_layout(rect=[0.05, 0.05, 1, 0.95])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8ae4011",
   "metadata": {},
   "source": [
    "Both the contraction and sampling times vary linearly with the number of qubtis.\n",
    "Indeed the circuit classes treated here involve a number of gates proportional\n",
    "to the number of qubits in the register, therefore the circuit contraction process\n",
    "repeats the gate application procedure an amount times that is $\\propto n_{\\rm qubits}$.\n",
    "This behavior is reflected by the scaling of the red markers. To highlight the scaling,\n",
    "a set of parallel power-law lines $\\propto n_{\\rm qubits}$ are added to the grid\n",
    "as a guide to the eye.\n",
    "\n",
    "Conversely, the sampling requires finding the probability marginals for different\n",
    "outcomes by setting the $n_{\\rm qubits}$ bitstring.\n",
    "Therefore, the scaling of sampling times with the number of qubits is also $\\propto n_{\\rm qubits}$.\n",
    "\n",
    "Note though, that it is not the same to sample a single bitstring or 10 bitstrings\n",
    "in one go: the `sample` method from $\\texttt{quimb}$ caches the marginal distributions\n",
    "between calls; this means that sampling more and more bitstrings gets everso faster\n",
    "than a single bitstring. This effect is reflected by the gap between the orange\n",
    "markers (1 sample) and the yellow markers (10 samples): the later indicate the average\n",
    "sampling time for drawing 10 bitstrings (thus we are timing `sample(C=10)/10` rather than `sample(C=1)`).\n",
    "\n",
    "The former discussion was fully dedicated to the `CircuitMPS` class from $\\texttt{quimb}$.\n",
    "Nevertheless, there exists another MPS class that tries to leverage the non-locality of\n",
    "long-range circuits: `PermMPS`. The goal of this class can be understood by diving a bit\n",
    "into the procedure for applying a long-range gate: it requires permuting the two\n",
    "involved qubits through the 1-dimensional layout until they are nearest-neighbors,\n",
    "followed by the local application of the two-body gate. While `CircuitMPS` would\n",
    "restore the initial layout after the gate application, `PermMPS` leaves this new\n",
    "layout and tracks the intermediate trajectories of the qubits. Obviously, this\n",
    "class may yield advantageous wall-clock time measures when the number of gates\n",
    "is sparse. Opposed to that, our circuit instances are not sparse enough to detect\n",
    "a clear advantage. This can be seen for `depth=1` in the right column\n",
    "(random entangling pattern). Despite these results, we expect that a study with\n",
    "varying `ent_prob` and `ent_range` in the function `generate_rand_circuit` would\n",
    "define a regime of dominance of `PermMPS` over `CircuitMPS` for sparse circuits\n",
    "(low `ent_prob`, medium-low `ent_range`)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddc16e51",
   "metadata": {},
   "source": [
    "### Dependence in the bond dimension"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a46486a4",
   "metadata": {},
   "source": [
    "In the following plot we present our results in two columns: the left for brickwall circuits, and the right for random circuits. The chosen circiuit sizes are $n_{\\rm qubits} \\in \\{64, 128, 256\\}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4e92416e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:52:02.748783Z",
     "iopub.status.busy": "2026-04-03T03:52:02.748604Z",
     "iopub.status.idle": "2026-04-03T03:52:03.785363Z",
     "shell.execute_reply": "2026-04-03T03:52:03.784577Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x621.118 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_range = np.linspace(1, 256)\n",
    "n_qubits_values = (64, 128, 256)\n",
    "depths = range(1, 8)\n",
    "ylims = ((1e-2, 5.0), (1e-2, 1e2), (1e-2, 1.0), (1e-2, 5.0))\n",
    "mycolors = (\"tab:blue\", \"tab:orange\", \"tab:green\")\n",
    "fig, axes = plt.subplots(2, 2, sharex=True, figsize=(10, 5 * 2 / 1.61))\n",
    "for iN, n_qubits in enumerate(n_qubits_values):\n",
    "    plot_errorbar(\n",
    "        axes[0, 0], dum, dum, dum, mycolors[iN], label=rf\"n_qubits={n_qubits}\"\n",
    "    )\n",
    "    for j, ctype in enumerate(circuit_types):\n",
    "        for depth in depths:\n",
    "            data = circuit_data[ctype][f\"{ctype}_{n_qubits}\"]\n",
    "            bond_dim = data[f\"depth{depth}\"][\"quimb MPS bondim\"]\n",
    "            values = (\n",
    "                data[f\"depth{depth}\"][\"quimb MPS contr\"],\n",
    "                data[f\"depth{depth}\"][\"quimb MPS sampl 1\"],\n",
    "            )\n",
    "            for k, ax in enumerate(axes[:, j]):\n",
    "                plot_errorbar(\n",
    "                    ax,\n",
    "                    bond_dim,\n",
    "                    np.mean(values[k]),\n",
    "                    np.std(values[k]),\n",
    "                    mycolors[iN],\n",
    "                )\n",
    "                if depth == max(depths):\n",
    "                    y = x_range ** (3 - k) * np.mean(values[k]) / bond_dim ** (3 - k)\n",
    "                    ax.plot(x_range, y, \"-\", color=\"grey\", alpha=0.1)\n",
    "axes = axes.flatten()\n",
    "for i, ax in enumerate(axes):\n",
    "    ax.set_xlim(x_range[0], x_range[-1])\n",
    "    ax.set_xticks(2 ** np.arange(2, 8))\n",
    "    ax.set_xscale(\"log\", base=2)\n",
    "    if i > 1:\n",
    "        ax.set_xlabel(\"bond dimension\")\n",
    "    ax.get_xaxis().set_major_formatter(plt.FuncFormatter(lambda x, _: f\"{int(x)}\"))\n",
    "    ax.set_ylim(ylims[i])\n",
    "    ax.set_yscale(\"log\")\n",
    "    ax.grid(which=\"both\", linestyle=\"-\", linewidth=0.25, alpha=0.5)\n",
    "axes[0].set_title(\"brickwall circuits\")\n",
    "axes[0].set_ylabel(\"contraction\")\n",
    "axes[1].set_title(\"random circuits\")\n",
    "axes[2].set_ylabel(\"sampling\")\n",
    "axes[0].legend(loc=\"lower right\", fontsize=8)\n",
    "fig.text(0.04, 0.5, \"wall-clock time\", va=\"center\", rotation=\"vertical\", fontsize=16)\n",
    "fig.tight_layout(rect=[0.05, 0.05, 1, 0.95])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47813987",
   "metadata": {},
   "source": [
    "In order to understand scaling of the contraction and sampling times with the bond dimension we first need to recall which are the algorithmic expectations for each case.\n",
    "\n",
    "The contraction procedure involves (as mentioned earlier) the application of a two-body gate onto a pair of local tensors on an MPS, which at a given depth may have a bond dimension $\\chi\\leq 2^{\\rm depth}$. The algorithmic cost for this contraction is $\\propto \\chi^3$, as it can be easily computed by [dimension arguments](https://www.tensors.net/p-tutorial-1). This scaling only becomes visible for the largest bond dimensions in the right column for the random entangling pattern circuits, which at the same time saturate the bound between the circuit depth and the bond dimension: $\\chi=2^{\\rm depth}$. As a guide to the eye, we have added the cubic power law that passes by the points with highest $\\chi$.\n",
    "\n",
    "For the case of sampling a single bitstring, the scaling can be trickier: sampling a single bitstring requires constructing the diagonal of a reduced density matrix, which can be done with cost $\\propto \\chi^2$ if we consider only contracting the bra and ket parts of the MPS around the sites where the bitstring outcome is to be fixed. This is actually the scaling observed in the lower row of results for all the intances (see quadratic power law in grey passing by the points with highest $\\chi$); despite that, we want to note that before contracting the MPS bra and ket, the MPS must be canonicalized. If the cost of such a process was to be included within the sampling time, then the cost would scale as $\\propto \\chi^3$, due to the [cost of performing rank-revealing matrix decompositions](https://www.tensors.net/p-tutorial-2)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20e61d3b",
   "metadata": {},
   "source": [
    "## Comparison between quimb and qiskit-aer\n",
    "\n",
    "In the case of $\\texttt{qiskit-aer}$ backend, the contraction and sampling times cannot be easily split apart;\n",
    "this means that the simulator only returns $t_{\\mathrm{total}}(n_{\\mathrm{sampl}})$, which is not necessarily equal to $t_{\\mathrm{total}}(n_{\\mathrm{sampl}})=t_{\\mathrm{contr}}+n_{\\mathrm{sampl}}\\cdot t_{\\mathrm{sampl}}$. The simplest way to estimate $t_{\\mathrm{contr}}$ could be to repeat the simulation for a fixed circuit architecture and a list of $n_{\\mathrm{sampl}}$ values, and to deduce $t_{\\mathrm{contr}}$ and $t_{\\mathrm{sampl}}$ from a $n_{\\mathrm{sampl}}\\to 0$ extrapolation. Nevertheless, when we explored this behavior for few instances, we found that there exist different regimes where the extrapolation would follow a particular scaling power law in $n_{\\mathrm{sampl}}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "46f61fe8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:52:03.786854Z",
     "iopub.status.busy": "2026-04-03T03:52:03.786698Z",
     "iopub.status.idle": "2026-04-03T03:52:23.400134Z",
     "shell.execute_reply": "2026-04-03T03:52:23.399105Z"
    }
   },
   "outputs": [],
   "source": [
    "n_qubits = 32\n",
    "num_samples = np.rint(np.logspace(np.log10(1), np.log10(5000), num=40)).astype(int)\n",
    "num_repetitions = 5\n",
    "depth = 3\n",
    "qc = deserialize_to_qiskit_QuantumCircuit(\n",
    "    circuit_data[\"brick\"][f\"brick_{n_qubits}\"], max_depth=depth + 1, measure=True\n",
    ")\n",
    "dict_total_qiskit = {}\n",
    "for shots in num_samples:\n",
    "    batch_total_qiskit = np.empty(num_repetitions)\n",
    "    for r in range(num_repetitions):\n",
    "        simulator = AerSimulator(\n",
    "            method=\"matrix_product_state\",\n",
    "            matrix_product_state_max_bond_dimension=2**depth,\n",
    "            matrix_product_state_truncation_threshold=10e-8,\n",
    "            mps_log_data=True,\n",
    "        )\n",
    "        result = simulator.run(qc, shots=shots).result()\n",
    "        batch_total_qiskit[r] = result.time_taken\n",
    "\n",
    "    dict_total_qiskit[shots] = {\n",
    "        \"mean\": np.mean(batch_total_qiskit),\n",
    "        \"std\": np.std(batch_total_qiskit),\n",
    "    }"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db22a0ab",
   "metadata": {},
   "source": [
    "In the following plot we detect several regimes with different potential extrapolation slopes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "55f647b3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:52:23.401743Z",
     "iopub.status.busy": "2026-04-03T03:52:23.401558Z",
     "iopub.status.idle": "2026-04-03T03:52:23.732704Z",
     "shell.execute_reply": "2026-04-03T03:52:23.731940Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x372.671 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(6, 6 / 1.61))\n",
    "for key, instance in dict_total_qiskit.items():\n",
    "    plot_errorbar(ax, key, instance[\"mean\"], instance[\"std\"], \"tab:cyan\")\n",
    "ax.set_ylabel(\"contr. + sampl. time\", fontsize=12)\n",
    "ax.set_xlabel(\"number of shots\", fontsize=12)\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_yscale(\"log\")\n",
    "ax.grid(which=\"both\", linestyle=\"-\", linewidth=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7cc896ed",
   "metadata": {},
   "source": [
    "Therefore we restrain ourselves to compare the total wall-clock time for contracting the different circuits and sample 10 strings in both backends:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f2b7ec18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-04-03T03:52:23.734259Z",
     "iopub.status.busy": "2026-04-03T03:52:23.734046Z",
     "iopub.status.idle": "2026-04-03T03:52:24.907105Z",
     "shell.execute_reply": "2026-04-03T03:52:24.906344Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x931.677 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_qubits_values = 2 ** np.arange(4, 9)\n",
    "fig, axes = plt.subplots(3, 2, sharex=True, figsize=(5 * 2, 5 * 3 / 1.61))\n",
    "for idx, ax in np.ndenumerate(axes):\n",
    "    depth = idx[0] + 4\n",
    "    for instance in circuit_data[circuit_types[idx[1]]].values():\n",
    "        contr_quimb = np.asarray(instance[f\"depth{depth}\"][\"quimb MPS contr\"])\n",
    "        sampl_quimb = np.asarray(instance[f\"depth{depth}\"][\"quimb MPS sampl 10\"])\n",
    "        total_quimb = contr_quimb + sampl_quimb\n",
    "        total_qiskit = np.asarray(instance[f\"depth{depth}\"][\"qiskit total\"])\n",
    "        x = instance[\"n_qubits\"]\n",
    "        plot_errorbar(ax, x, np.mean(total_quimb), np.std(total_quimb), \"tab:orange\")\n",
    "        plot_errorbar(ax, x, np.mean(total_qiskit), np.std(total_qiskit), \"tab:cyan\")\n",
    "\n",
    "    ax.set_xlim(n_qubits_values[0] / 2, n_qubits_values[-1] * 2)\n",
    "    ax.set_xscale(\"log\", base=2)\n",
    "    ax.set_yscale(\"log\")\n",
    "    ax.set_xticks(n_qubits_values)\n",
    "    ax.get_xaxis().set_major_formatter(plt.ScalarFormatter())\n",
    "    ax.grid(which=\"both\", linestyle=\"-\", linewidth=0.25)\n",
    "    if idx[1] == 0:\n",
    "        ax.set_ylabel(rf\"$\\text{{depth}}={depth}$\")\n",
    "    if idx[0] == 2:\n",
    "        ax.set_xlabel(\"number of qubits\")\n",
    "plot_errorbar(axes[0, 0], dum, dum, dum, \"tab:orange\", label=\"quimb\")\n",
    "plot_errorbar(axes[0, 0], dum, dum, dum, \"tab:cyan\", label=\"qiskit=aer\")\n",
    "axes[0, 0].legend(loc=\"lower right\", fontsize=12)\n",
    "axes[0, 0].set_title(\"brickwall circuits\", fontsize=12)\n",
    "axes[0, 1].set_title(\"random circuits\", fontsize=12)\n",
    "fig.text(0.04, 0.5, \"wall-clock time\", va=\"center\", rotation=\"vertical\", fontsize=12)\n",
    "fig.tight_layout(rect=[0.05, 0.05, 1, 0.95])"
   ]
  },
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   "id": "a776a6a4",
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   "source": [
    "Interestingly, while for all sizes and depths of the chosen brickwall circuits $\\texttt{qiskit-aer}$ dominates with speedups of almost an order of magnitude, the same cannot be told for random circuits with long-range entangling gates. We observe that for deep enough instances (${\\rm depth}\\geq 4$), $\\texttt{qiskit-aer}$ and $\\texttt{quimb}$ already perform comparably; for the deepest random circuits explored here, $\\texttt{quimb}$ surpasses $\\texttt{qiskit-aer}$ by an order of magnitude."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "923d40d7",
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   "source": [
    "## Other strategies within quimb\n",
    "\n",
    "Despite we already found some counterexamples to results like the ones gathered in [feniqs_lite](https://arxiv.org/abs/2504.14027), we are well aware that $\\texttt{quimb}$ can offer even more by introducing more flexible quantum circuit classes (like `Circuit`) and methods suited for different architectures:\n",
    "* [`sample`](https://github.com/jcmgray/quimb/blob/main/quimb/tensor/circuit.py#L3523-L3674) : uses light-cone simplification and caching of the marginal distributions for chosen groupings of qubits.\n",
    "* [`sample_gate_by_gate`](https://github.com/jcmgray/quimb/blob/main/quimb/tensor/circuit.py#L4023-L4143) : achieves a cost for sampling similar to that of computing single amplitudes, but enlarges the amount of tensor networks to be contracted. This method was [introduced in 2021](https://arxiv.org/abs/2112.08499).\n",
    "* [`sample_chaotic`](https://github.com/jcmgray/quimb/blob/main/quimb/tensor/circuit.py#L3762-L3892) : assumes that only subgroups of qubits are correlated, while the rest of the sampled bitstring results are essentially random. This strategy was successful at classically replicating one of the latest [quantum advantage claims](https://www.nature.com/articles/s41586-019-1666-5)."
   ]
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