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arXiv:2303.17741

Development and Demonstration of an Efficient Readout Error Mitigation Technique for use in NISQ Algorithms

Andrew Arrasmith, Patterson, Andrew, Boughton, Alice, Paini, Marco

Published Mar 30, 2023• 2 citations
arXivHTMLPDF

Abstract

The approximate state estimation and the closely related classical shadows methods allow for the estimation of complicated observables with relatively few shots. As these methods make use of random measurements that can symmetrise the effect of readout errors, they have been shown to permit simplified approaches to readout error mitigation which require only a number of samples that scales as $\mathcal{O}(1)$ with increasing numbers of qubits. However, these techniques require executing a different circuit at each shot, adding a typically prohibitive amount of latency that prohibits their practical application. In this manuscript we consider the approximate state estimation of readout-mitigated expectation values, and how to best implement that procedure on the Rigetti quantum computing hardware. We discuss the theoretical aspects involved, providing an explicit computation of the effect of readout error on the estimated expectation values and how to mitigate that effect. Leveraging improvements to the Rigetti control systems, we then demonstrate an efficient implementation of this approach. Not only do we find that we can suppress the effect of correlated errors and accurately mitigate the readout errors, we find that we can do so quickly, collecting and processing $10^6$ samples in less than $1.5$ minutes. This development opens the way for practical uses of methods with this type of randomisation.

DOI
10.48550/arxiv.2303.17741

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Readout errors are among the most dominant errors on current noisy intermediate-scale quantum devices. Recently, an efficient and scaleable method for mitigating such errors has been developed, based on classical bit-flip correction. In this talk, we compare the performance of this method for IBM's and Rigetti's quantum devices, demonstrating how the method improves the noisy measurements of observables obtained on the quantum hardware. Moreover, we examine the variance amplification to the data after applying of our mitigation procedure, which is common to all mitigation strategies. We derive a new expression for the variance of the mitigated Pauli operators in terms of the corrected expectation values and the noisy variances.Our hardware results show good agreement with the theoretical prediction, and we demonstrate that the increase of the variance due to the mitigation procedure is only moderate.
Readout errors are among the most dominant errors on current noisy intermediate-scale quantum devices. Recently, an efficient and scaleable method for mitigating such errors has been developed, based on classical bit-flip correction. In this talk, we compare the performance of this method for IBM's and Rigetti's quantum devices, demonstrating how the method improves the noisy measurements of observables obtained on the quantum hardware. Moreover, we examine the variance amplification to the data after applying of our mitigation procedure, which is common to all mitigation strategies. We derive a new expression for the variance of the mitigated Pauli operators in terms of the corrected expectation values and the noisy variances. Our hardware results show good agreement with the theoretical prediction, and we demonstrate that the increase of the variance due to the mitigation procedure is only moderate.
We experimentally study error mitigation and finite-shot sampling on superconducting quantum hardware under a constrained execution budget. The study combines calibration-aware qubit selection, circuit-depth scaling, zero-noise extrapolation, dynamical decoupling, readout-error mitigation, and repeated-shot estimation on an IBM Quantum processor. Experiments are organized across ideal simulation, noise-model simulation, and physical-device execution to separate sampling uncertainty from device-induced error. We investigate how mitigation performance changes with circuit depth, effective noise scale, qubit connectivity, and measurement budget, and quantify accuracy using expectation-value error, mean-squared error, statistical uncertainty, and mitigation gain. A fixed hardware-execution budget is used to evaluate shot allocation strategies and repeated measurements without relying on unlimited sampling. The resulting analysis provides a hardware-aware characterization of when mitigation improves expectation-value estimation and when finite-shot fluctuations offset the benefit of additional mitigation overhead. The implementation uses contemporary Qiskit and IBM Quantum Runtime workflows and is designed to provide reproducible experimental evidence for error-mitigation studies on current quantum processors.
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High-precision measurements on near-term quantum devices are important for advancing quantum computing applications. The high readout errors of the current quantum computers complicate any effort to perform quantum simulations with high accuracy. This thesis implements practical techniques to reduce overhead and error, achieving accuracies suitable for quantum chemistry applications. To reduce circuit overhead, we use repeated settings and parallel Quantum Detector Tomography (QDT), and for shot overhead, we use a locally biased randomized measurement scheme. QDT is also used to mitigate readout errors and blending is used to mitigate the effects of drift. These techniques were validated by estimating the expectation values of the energy of the BODIPY molecule on a Hartree-Fock state. All experiments were performed on an IBM Eagle r3 quantum computer, where we were able to reduce the measurement errors by an order of magnitude, from 1-5% to 0.16%. These methods enable reliable quantum computations, essential for precise molecular energy calculations.
Quantum computing is entering a transitional regime between noisy intermediate-scale quantum (NISQ) processing and early fault-tolerant quantum computation (FTQC), in which increasingly capable hardware is beginning to support repeated syndrome measurements, partial error correction, and logical-qubit operations, while residual physical and logical errors remain non-negligible. In this regime, error suppression, error mitigation, and quantum error correction are increasingly better viewed as complementary layers of a unified error-reduction strategy rather than as separate approaches, with each acting at a different stage of the quantum computation to improve simulation reliability. Thus, in this review, we provide a practical and forward-looking overview of the principal hardware error sources and the corresponding error suppression and mitigation methods for reducing their impact across the current NISQ-FTQC transition. We discuss hardware-aware circuit design, coherent-error suppression, readout mitigation, noise extrapolation, classical inference, and software-supported workflows, with particular emphasis on their implementation on actual quantum processors. We further examine how error mitigation techniques can be adapted to encoded and logical-qubit settings so that they can operate alongside quantum error correction to suppress residual logical errors and improve the accuracy of computation in the early fault-tolerant regime.