{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Non-IC Measurements\n", "\n", "This document shows you how to use measurements that are not informationally complete.\n", "\n", "> **Note**:\n", ">\n", "> By definition, non-IC POVMs do not span the entire space of Hermitian operators. This means that\n", "> there exist some observables that are not covered by such POVMs. At present, the post-processor\n", "> does not check for this when estimating expectation values. This means it is up to the user to\n", "> ensure that they submits observables compatible with the non-IC POVM.\n", ">\n", ">\n", "> If the user submits an observable that is not in the span of the POVM, the post-processor will\n", "> return the expectation value of the observable projected into the span of the POVM. More\n", "> specifically, this will not give rise to any errors and may go unnoticed by the user." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Examples of non-IC POVMs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example of a 4-outcome non-IC POVM" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 500x500 with 1 Axes>" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from povm_toolbox.library import RandomizedProjectiveMeasurements\n", "\n", "# parameters that define a randomized measurement which is not IC. It mixes `Z` and `X` measurements.\n", "angles = np.array(\n", " [0.0, 0.0, np.pi / 2, 0.0],\n", ")\n", "bias = np.array([0.5, 0.5])\n", "\n", "ZX_measurement = RandomizedProjectiveMeasurements(\n", " num_qubits=1, angles=angles, bias=bias, seed=592634\n", ")\n", "ZX_measurement.definition().draw_bloch()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example of a POVM with some null effects\n", "Some POVMs that are usually informationally complete can become non-IC in special cases.\n", "\n", "For instance, setting some biases to zero for a randomized measurement will result into some effects being null. This can make the POVM non-IC.\n", "The null effects are still being stored, which can prove useful if you follow a convention for the indexing of the outcomes (see the example below)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 500x500 with 1 Axes>" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from povm_toolbox.library import LocallyBiasedClassicalShadows\n", "\n", "# Define a biased classical shadow measurement with only `Z` and `Y` measurements.\n", "bias = np.array([0.5, 0.0, 0.5]) # order is Z,X,Y\n", "\n", "ZY_measurement = LocallyBiasedClassicalShadows(num_qubits=1, bias=bias, seed=587202)\n", "ZY_measurement.definition().draw_bloch()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We assume in general that a (locally-biased) classical shadow measurement has 6 outcomes. Therefore, even if we set the bias of a measurement basis to zero, we keep track of the resulting null effects to preserve the number of outcomes and their order." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of outcomes: 6\n", "\n", "POVM effects:\n", "Operator([[0.5+0.j, 0. +0.j],\n", " [0. +0.j, 0. +0.j]],\n", " input_dims=(2,), output_dims=(2,))\n", "Operator([[0. +0.j, 0. +0.j],\n", " [0. -0.j, 0.5+0.j]],\n", " input_dims=(2,), output_dims=(2,))\n", "Operator([[0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j]],\n", " input_dims=(2,), output_dims=(2,))\n", "Operator([[0.+0.j, 0.+0.j],\n", " [0.-0.j, 0.+0.j]],\n", " input_dims=(2,), output_dims=(2,))\n", "Operator([[2.5000000e-01+0.j , 1.5308085e-17-0.25j],\n", " [1.5308085e-17+0.25j, 2.5000000e-01+0.j ]],\n", " input_dims=(2,), output_dims=(2,))\n", "Operator([[ 2.5000000e-01+0.j , -1.5308085e-17+0.25j],\n", " [-1.5308085e-17-0.25j, 2.5000000e-01+0.j ]],\n", " input_dims=(2,), output_dims=(2,))\n" ] } ], "source": [ "povm = ZY_measurement.definition()[(0,)]\n", "print(\"Number of outcomes:\", povm.num_outcomes)\n", "print(\"\\nPOVM effects:\")\n", "for op in povm.operators:\n", " print(op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard IC-POVM\n", "For reference, we also consider a standard classical shadows measurement:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 500x500 with 1 Axes>" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from povm_toolbox.library import ClassicalShadows\n", "\n", "ZXY_measurement = ClassicalShadows(num_qubits=1, seed=301438)\n", "ZXY_measurement.definition().draw_bloch()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run experiments \n", "### Define quantum circuit" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 269.064x117.056 with 1 Axes>" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit import QuantumCircuit\n", "\n", "qc = QuantumCircuit(1)\n", "qc.u(0.4, -0.1, 0.1, qubit=0)\n", "qc.draw(\"mpl\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run the job" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from numpy.random import default_rng\n", "from povm_toolbox.sampler import POVMSampler\n", "from qiskit.primitives import StatevectorSampler as Sampler\n", "\n", "sampler = Sampler(seed=default_rng(734567))\n", "povm_sampler = POVMSampler(sampler)\n", "job = povm_sampler.run(\n", " [\n", " (qc, None, None, ZXY_measurement),\n", " (qc, None, None, ZX_measurement),\n", " (qc, None, None, ZY_measurement),\n", " ],\n", " shots=4096,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define observable\n", "\n", "Note that this observable is not fully covered by the `ZY_measurement`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "observable = SparsePauliOp([\"X\", \"Z\"], coeffs=[3, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get the expected value" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Observable: Z + 3*X\n", "Exact value: 2.083479611901199\n", "\n", "Measurement Estimated value Estimated std Actual error\n", "-------------------------------------------------------------------\n", "Classical shadows 2.168970 0.076433 0.085491\n", "Z/X measurement 2.064918 0.062295 0.018562\n", "Z/Y measurement 0.925842 0.008414 1.157638\n" ] } ], "source": [ "from povm_toolbox.post_processor import POVMPostProcessor, dual_from_empirical_frequencies\n", "from qiskit.quantum_info import DensityMatrix\n", "\n", "print(\"Observable: Z + 3*X\")\n", "\n", "exact_expectation_value = np.real_if_close(DensityMatrix(qc).expectation_value(observable))\n", "print(f\"Exact value: {exact_expectation_value}\\n\")\n", "\n", "print(\"Measurement Estimated value Estimated std Actual error\")\n", "print(\"-------------------------------------------------------------------\")\n", "\n", "results = job.result()\n", "msmt_strings = [\n", " \"Classical shadows\",\n", " \"Z/X measurement\",\n", " \"Z/Y measurement\",\n", "]\n", "\n", "for msmt, pub_result in zip(msmt_strings, results):\n", " post_processor = POVMPostProcessor(pub_result)\n", " post_processor.dual = dual_from_empirical_frequencies(post_processor)\n", " exp_value, std = post_processor.get_expectation_value(observable)\n", " print(\n", " f\"{msmt:<17} {exp_value:>18.6f} {std:>15.6f}\"\n", " f\"{abs(exp_value - exact_expectation_value):>15.6f}\"\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the observable is not in the span `ZY_measurement`, it returns an incorrect value (without\n", "warning). \n", "\n", "To be more specific, the observable $\\mathcal{O} = Z+3*X$ projected into the span of\n", "`ZY_measurement` is $\\hat{\\mathcal{O}} = Z$. Therefore, the value returned is the expectation of\n", "$\\hat{\\mathcal{O}}$.\n", "\n", "We can check the value returned by `ZY_measurement` is actually an estimate of $\\langle Z \\rangle_{\\rho}$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Observable: Z\n", "Exact value: 0.9210609940028851\n", "\n", "Measurement Estimated value Estimated std Actual error\n", "-------------------------------------------------------------------\n", "Classical shadows 0.914818 0.010650 0.006243\n", "Z/X measurement 0.920608 0.008564 0.000453\n", "Z/Y measurement 0.925842 0.008414 0.004781\n" ] } ], "source": [ "observable = SparsePauliOp(\"Z\")\n", "print(\"Observable: Z\")\n", "\n", "exact_expectation_value = np.real_if_close(DensityMatrix(qc).expectation_value(observable))\n", "print(f\"Exact value: {exact_expectation_value}\\n\")\n", "\n", "print(\"Measurement Estimated value Estimated std Actual error\")\n", "print(\"-------------------------------------------------------------------\")\n", "\n", "for msmt, pub_result in zip(msmt_strings, results):\n", " post_processor = POVMPostProcessor(pub_result)\n", " post_processor.dual = dual_from_empirical_frequencies(post_processor)\n", " exp_value, std = post_processor.get_expectation_value(observable)\n", " print(\n", " f\"{msmt:<17} {exp_value:>18.6f} {std:>15.6f}\"\n", " f\"{abs(exp_value - exact_expectation_value):>15.6f}\"\n", " )" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 4 }