Cargando…

Decoding quantum errors with subspace expansions

With rapid developments in quantum hardware comes a push towards the first practical applications. While fully fault-tolerant quantum computers are not yet realized, there may exist intermediate forms of error correction that enable practical applications. In this work, we consider the idea of post-...

Descripción completa

Detalles Bibliográficos
Autores principales: McClean, Jarrod R., Jiang, Zhang, Rubin, Nicholas C., Babbush, Ryan, Neven, Hartmut
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6994666/
https://www.ncbi.nlm.nih.gov/pubmed/32005804
http://dx.doi.org/10.1038/s41467-020-14341-w
_version_ 1783493241457344512
author McClean, Jarrod R.
Jiang, Zhang
Rubin, Nicholas C.
Babbush, Ryan
Neven, Hartmut
author_facet McClean, Jarrod R.
Jiang, Zhang
Rubin, Nicholas C.
Babbush, Ryan
Neven, Hartmut
author_sort McClean, Jarrod R.
collection PubMed
description With rapid developments in quantum hardware comes a push towards the first practical applications. While fully fault-tolerant quantum computers are not yet realized, there may exist intermediate forms of error correction that enable practical applications. In this work, we consider the idea of post-processing error decoders using existing quantum codes, which mitigate errors on logical qubits using post-processing without explicit syndrome measurements or additional qubits beyond the encoding overhead. This greatly simplifies the experimental exploration of quantum codes on real, near-term devices, removing the need for locality of syndromes or fast feed-forward. We develop the theory of the method and demonstrate it on an example with the perfect [[5, 1, 3]] code, which exhibits a pseudo-threshold of p ≈ 0.50 under a single qubit depolarizing channel applied to all qubits. We also provide a demonstration of improved performance on an unencoded hydrogen molecule.
format Online
Article
Text
id pubmed-6994666
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-69946662020-02-03 Decoding quantum errors with subspace expansions McClean, Jarrod R. Jiang, Zhang Rubin, Nicholas C. Babbush, Ryan Neven, Hartmut Nat Commun Article With rapid developments in quantum hardware comes a push towards the first practical applications. While fully fault-tolerant quantum computers are not yet realized, there may exist intermediate forms of error correction that enable practical applications. In this work, we consider the idea of post-processing error decoders using existing quantum codes, which mitigate errors on logical qubits using post-processing without explicit syndrome measurements or additional qubits beyond the encoding overhead. This greatly simplifies the experimental exploration of quantum codes on real, near-term devices, removing the need for locality of syndromes or fast feed-forward. We develop the theory of the method and demonstrate it on an example with the perfect [[5, 1, 3]] code, which exhibits a pseudo-threshold of p ≈ 0.50 under a single qubit depolarizing channel applied to all qubits. We also provide a demonstration of improved performance on an unencoded hydrogen molecule. Nature Publishing Group UK 2020-01-31 /pmc/articles/PMC6994666/ /pubmed/32005804 http://dx.doi.org/10.1038/s41467-020-14341-w Text en © The Author(s) 2020 Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
McClean, Jarrod R.
Jiang, Zhang
Rubin, Nicholas C.
Babbush, Ryan
Neven, Hartmut
Decoding quantum errors with subspace expansions
title Decoding quantum errors with subspace expansions
title_full Decoding quantum errors with subspace expansions
title_fullStr Decoding quantum errors with subspace expansions
title_full_unstemmed Decoding quantum errors with subspace expansions
title_short Decoding quantum errors with subspace expansions
title_sort decoding quantum errors with subspace expansions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6994666/
https://www.ncbi.nlm.nih.gov/pubmed/32005804
http://dx.doi.org/10.1038/s41467-020-14341-w
work_keys_str_mv AT mccleanjarrodr decodingquantumerrorswithsubspaceexpansions
AT jiangzhang decodingquantumerrorswithsubspaceexpansions
AT rubinnicholasc decodingquantumerrorswithsubspaceexpansions
AT babbushryan decodingquantumerrorswithsubspaceexpansions
AT nevenhartmut decodingquantumerrorswithsubspaceexpansions