{ "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) [![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)" ] }, { "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": 1, "metadata": {}, "outputs": [], "source": [ "try:\n", " import supermarq\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": 2, "metadata": {}, "outputs": [], "source": [ "from __future__ import annotations\n", "import cirq\n", "import numpy as np\n", "\n", "\n", "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": "6fcf26a01f3743299144099e10a9c2f5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Building circuits: 0%| | 0/275 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": "b4ac194643bc4523897e6b041e40a008", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Building circuits: 0%| | 0/250 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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: 0.02141\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\n", "cycle depths to being smoothed out at deeper circuits. For more details see Fig.S18 of https://arxiv.org/abs/1910.11333. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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