Mitigating Quantum Gate Errors for Variational Eigensolvers Using Hardware-Inspired Zero-Noise Extrapolation Article Swipe

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Alexey Uvarov , Daniil Rabinovich , Olga Lakhmanskaya , Kirill Lakhmanskiy , Jacob Biamonte , Soumik Adhikary ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2307.11156

Variational quantum algorithms have emerged as a cornerstone of contemporary quantum algorithms research. Practical implementations of these algorithms, despite offering certain levels of robustness against systematic errors, show a decline in performance due to the presence of stochastic errors and limited coherence time. In this work, we develop a recipe for mitigating quantum gate errors for variational algorithms using zero-noise extrapolation. We introduce an experimentally amenable method to control error strength in the circuit. We utilize the fact that gate errors in a physical quantum device are distributed inhomogeneously over different qubits and qubit pairs. As a result, one can achieve different circuit error sums based on the manner in which abstract qubits in the circuit are mapped to a physical device. We find that the estimated energy in the variational approach is approximately linear with respect to the circuit error sum (CES). Consequently, a linear fit through the energy-CES data, when extrapolated to zero CES, can approximate the energy estimated by a noiseless variational algorithm. We demonstrate this numerically and investigate the applicability range of the technique.

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Extrapolation Qubit Robustness (evolution) Computer science Quantum Quantum circuit Algorithm Noise (video) Error detection and correction Quantum error correction Coherence (philosophical gambling strategy) Mathematics Quantum mechanics Physics Statistics Artificial intelligence Chemistry Biochemistry Gene Image (mathematics)

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2307.11156
PDF: https://arxiv.org/pdf/2307.11156
OA Status: green
References: 72
Related Works: 10
OpenAlex ID: https://openalex.org/W4385209115

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DOI: https://doi.org/10.48550/arxiv.2307.11156

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Title: Mitigating Quantum Gate Errors for Variational Eigensolvers Using Hardware-Inspired Zero-Noise Extrapolation

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Type: preprint

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Language: en

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Publication year: 2023

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Publication date: 2023-07-20

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Authors: Alexey Uvarov, Daniil Rabinovich, Olga Lakhmanskaya, Kirill Lakhmanskiy, Jacob Biamonte, Soumik Adhikary

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Landing page: https://arxiv.org/abs/2307.11156

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Concepts: Extrapolation, Qubit, Robustness (evolution), Computer science, Quantum, Quantum circuit, Algorithm, Noise (video), Error detection and correction, Quantum error correction, Coherence (philosophical gambling strategy), Mathematics, Quantum mechanics, Physics, Statistics, Artificial intelligence, Chemistry, Biochemistry, Gene, Image (mathematics)

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