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Quantum error mitigation by Pauli check sandwiching

We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one layer of the technique. We build on the results on extended flag...

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Detalles Bibliográficos
Autores principales: Gonzales, Alvin, Shaydulin, Ruslan, Saleem, Zain H., Suchara, Martin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9902625/
https://www.ncbi.nlm.nih.gov/pubmed/36747037
http://dx.doi.org/10.1038/s41598-023-28109-x
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author Gonzales, Alvin
Shaydulin, Ruslan
Saleem, Zain H.
Suchara, Martin
author_facet Gonzales, Alvin
Shaydulin, Ruslan
Saleem, Zain H.
Suchara, Martin
author_sort Gonzales, Alvin
collection PubMed
description We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one layer of the technique. We build on the results on extended flag gadgets and put it on a firm theoretical foundation. We prove that this technique can recover the noiseless state under the assumption of noise not affecting the checks. The method does not incur any encoding overhead and instead chooses the checks based on the input circuit. We provide an algorithm for obtaining such checks for an arbitrary target circuit. Since the method applies to any circuit and input state, it can be easily combined with other error mitigation techniques. We evaluate the performance of the proposed methods using extensive numerical simulations on 1850 random input circuits composed of Clifford gates and non-Clifford single-qubit rotations, a class of circuits encompassing most commonly considered variational algorithm circuits. We observe average improvements in fidelity of 34 percentage points with six layers of checks.
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spelling pubmed-99026252023-02-08 Quantum error mitigation by Pauli check sandwiching Gonzales, Alvin Shaydulin, Ruslan Saleem, Zain H. Suchara, Martin Sci Rep Article We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one layer of the technique. We build on the results on extended flag gadgets and put it on a firm theoretical foundation. We prove that this technique can recover the noiseless state under the assumption of noise not affecting the checks. The method does not incur any encoding overhead and instead chooses the checks based on the input circuit. We provide an algorithm for obtaining such checks for an arbitrary target circuit. Since the method applies to any circuit and input state, it can be easily combined with other error mitigation techniques. We evaluate the performance of the proposed methods using extensive numerical simulations on 1850 random input circuits composed of Clifford gates and non-Clifford single-qubit rotations, a class of circuits encompassing most commonly considered variational algorithm circuits. We observe average improvements in fidelity of 34 percentage points with six layers of checks. Nature Publishing Group UK 2023-02-06 /pmc/articles/PMC9902625/ /pubmed/36747037 http://dx.doi.org/10.1038/s41598-023-28109-x Text en © This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Gonzales, Alvin
Shaydulin, Ruslan
Saleem, Zain H.
Suchara, Martin
Quantum error mitigation by Pauli check sandwiching
title Quantum error mitigation by Pauli check sandwiching
title_full Quantum error mitigation by Pauli check sandwiching
title_fullStr Quantum error mitigation by Pauli check sandwiching
title_full_unstemmed Quantum error mitigation by Pauli check sandwiching
title_short Quantum error mitigation by Pauli check sandwiching
title_sort quantum error mitigation by pauli check sandwiching
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9902625/
https://www.ncbi.nlm.nih.gov/pubmed/36747037
http://dx.doi.org/10.1038/s41598-023-28109-x
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