Bayesian mitigation of measurement errors in multiqubit experiments

Abstract

In Phys. Rev. A 108, L060402 (2023), we introduced a Bayesian measurement error mitigation algorithm, which leveraged complete information from the readout signal, and validated the protocol on a quantum device with five superconducting qubits. Here, we present an improved algorithm's implementation, tailored for multiqubit experiments on near-term superconducting qubit quantum devices. In particular, we provide a detailed algorithm workflow, from calibrating the detector response functions to the postprocessing of measurement outcomes, offering a computationally efficient solution for the output size typical of current quantum computing devices. We show how the numerical representation of the noise function affects the performance of the error mitigation algorithm and test the convergence criteria. We benchmark our protocol on actual quantum computers with superconducting qubits, where the readout signal encodes the measurement information as unprocessed analog data before qubit state assignment. Finally, we compare the performance of our algorithm against other measurement error mitigation methods, such as iterative Bayesian unfolding and the Mthree method, and show how our method can be integrated on top of other readout error mitigation protocols.

13 pages, 7 figures

References in corpus (32)

• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Circuit Quantum Electrodynamics
• A Quantum Engineer's Guide to Superconducting Qubits
• Error mitigation for short-depth quantum circuits
• Logical quantum processor based on reconfigurable atom arrays
• Efficient variational quantum simulator incorporating active error minimisation
• Quantum Error Mitigation
• Measuring measurement
• Mitigating measurement errors in multi-qubit experiments
• Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
• Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
• Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip
• Verifying Multipartite Entangled GHZ States via Multiple Quantum Coherences
• Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
• Measuring Measurement: Theory and Practice
• Parallel window decoding enables scalable fault tolerant quantum computation
• Long-distance transmon coupler with CZ gate fidelity above $99.8\%$
• Bayesian estimation of one-parameter qubit gates
• Accessing the purity of a single photon by the width of the Hong-Ou-Mandel interference
• Bayesian estimation for quantum sensing in the absence of single-shot detection
• Experimental benchmarking of an automated deterministic error suppression workflow for quantum algorithms
• Efficient quantum readout-error mitigation for sparse measurement outcomes of near-term quantum devices
• Unimon qubit
• Readout Rebalancing for Near Term Quantum Computers
• Bayesian Quantum Multiphase Estimation Algorithm
• Reducing the error rate of a superconducting logical qubit using analog readout information
• Self-consistent quantum measurement tomography based on semidefinite programming
• Versatile Atomic Magnetometry Assisted by Bayesian Inference
• Quantum state smoothing as an optimal estimation problem with three different cost functions
• Bayesian Learning of Parameterised Quantum Circuits
• Mitigating Errors on Superconducting Quantum Processors through Fuzzy Clustering
• Enhancing qubit readout with Bayesian Learning