{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cross Entropy Benchmarking (XEB)\n" ] }, { "attachments": {}, "cell_type": "markdown", "id": "approximate-aurora", "metadata": {}, "source": [ "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/Infleqtion/client-superstaq/blob/main/docs/source/apps/supermarq/qcvv/qcvv_xeb_css.ipynb)\n", "[![Launch Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/Infleqtion/client-superstaq/HEAD?labpath=docs/source/apps/supermarq/qcvv/qcvv_xeb_css.ipynb)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To demonstrate the cross entropy benchmarking routine, consider a noise model with two independent\n", "depolarising channels, one which only effects single qubit gates and a second that only effects two\n", "qubit gates.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from __future__ import annotations\n", "\n", "try:\n", " import supermarq # noqa: F401\n", "except ImportError:\n", " print(\"Installing supermarq...\")\n", " %pip install --quiet supermarq\n", " print(\"Installed supermarq.\")\n", " print(\"You may need to restart the kernel to import newly installed packages.\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import cirq\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "class IndependentDepolariseNoiseModel(cirq.NoiseModel):\n", " \"\"\"Applies single and two qubit depolarising channels independently.\"\"\"\n", "\n", " def __init__(self, single_qubit_error: float, two_qubit_error: float) -> None:\n", " \"\"\"Args:\n", " single_qubit_error: Single qubit pauli error\n", " two_qubit_error: Two qubit pauli error.\n", " \"\"\"\n", " super().__init__()\n", " self.single_qubit_error = single_qubit_error\n", " self.two_qubit_error = two_qubit_error\n", "\n", " self.single_qubit_depolarise = cirq.DepolarizingChannel(p=single_qubit_error, n_qubits=1)\n", " self.two_qubit_depolarise = cirq.DepolarizingChannel(p=two_qubit_error, n_qubits=2)\n", "\n", " def noisy_operation(self, operation: cirq.Operation) -> list[cirq.OP_TREE]:\n", " \"\"\"Produces a list of operations by applying each noise model\n", " to the provided operation depending on the number of qubits it acts on.\n", " \"\"\"\n", " if len(operation.qubits) == 1:\n", " return [operation, self.single_qubit_depolarise(*operation.qubits)]\n", "\n", " if len(operation.qubits) == 2:\n", " return [operation, self.two_qubit_depolarise(*operation.qubits)]\n", "\n", " return [operation]\n", "\n", "\n", "noise = IndependentDepolariseNoiseModel(single_qubit_error=0.005, two_qubit_error=0.02)\n", "simulator = cirq.DensityMatrixSimulator(\n", " noise=noise,\n", " seed=0,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The XEB experiment allows us to estimate the fidelity of a \"cycle\" composed of pair of single qubit\n", "gates followed by a two qubit gate. If each single qubit gate is effected by a pauli error channel\n", "with rate $p_1$ and each two qubit gate is effected by a two qubit depolarising channel with pauli\n", "$p_2$ the overall cycle depolarising error is\n", "$$e_L = \\frac{16}{15}\\left( 1 - \\left(1- p_1\\right)^2 \\left(1-p_2\\right) \\right)$$\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3458407170384485916e46ef5bad2fcd", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Building circuits: 0%| | 0/250 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results.analyze(plot_results=True)\n", "cycle_depolarising_error = (\n", " 16 / 15 * (1 - (1 - noise.single_qubit_error) ** 2 * (1 - noise.two_qubit_error))\n", ")\n", "cycle_depolarising_error_estimate = 1 - results.cycle_fidelity_estimate\n", "print(f\"Cycle depolarising error: {cycle_depolarising_error:.5f}\")\n", "print(f\"Estimated cycle depolarising error: {cycle_depolarising_error_estimate:.5f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now lets repeat a similar experiment, still using two qubits but this time without entangling gates\n", "between them. In this case our noise model reduces to a pair of independent single qubit\n", "depolarising channels with pauli rates $p_1$, or equivalently depolarising rates of\n", "$e_{1q} = \\tfrac34 p_1$.\n", "\n", "Each cycle is made up of two single qubit gates (one on each qubit) so we obtain a cycle fidelity of\n", "$$f_L = (1- e_{1q})^2$$\n", "\n", "Thus we can estimate the single qubit pauli error as $$p_1 = \\frac{4}{3} \\left(1-\\sqrt{f_L}\\right)$$\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1acd46fd3e3d426fab7be23774f3d7c2", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Building circuits: 0%| | 0/250 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "single_qubit_experiment_results.analyze(plot_results=True)\n", "single_qubit_pauli_error_estimate = (\n", " 4 / 3 * (1 - np.sqrt(single_qubit_experiment_results.cycle_fidelity_estimate))\n", ")\n", "\n", "print(f\"Single qubit pauli error: {noise.single_qubit_error:.5f}\")\n", "print(f\"Estimated single qubit pauli error: {single_qubit_pauli_error_estimate:.5f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now rearrange the equation above to estimate the two qubit depolarising error $$ e*{2q} =\n", "\\frac{16}{15} \\left(1 - \\frac{1-\\tfrac{15}{16}e_L}{\\left(1 - \\tfrac43 e*{1q}\\right)^2} \\right)$$\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Two qubit depolarising error: 0.02133\n", "Estimated two qubit depolarising error: 0.02176\n" ] } ], "source": [ "two_qubit_depolarising_error = 16 / 15 * noise.two_qubit_error\n", "two_qubit_depolarising_error_estimate = (16 / 15) * (\n", " 1\n", " - (\n", " (1 - 15 / 16 * cycle_depolarising_error_estimate)\n", " / (1 - single_qubit_pauli_error_estimate) ** 2\n", " )\n", ")\n", "print(f\"Two qubit depolarising error: {two_qubit_depolarising_error:.5f}\")\n", "print(f\"Estimated two qubit depolarising error: {two_qubit_depolarising_error_estimate:.5f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final tool we can use as part of XEB is to visualize the decoherence through speckle plots.\n", "These show how the probability of being in a given state transitions from 'speckles' at small cycle\n", "depths to being smoothed out at deeper circuits. For more details see Fig.S18 of\n", "https://arxiv.org/abs/1910.11333.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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