Avoiding coherent errors with rotated concatenated stabilizer codes

Abstract Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors. Here, we propose integrating stabilizer codes with constant-excitation codes by code concatenation. Namely, by...

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Autor principal:	Yingkai Ouyang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/5abcf30f11aa47f197c621704e733a2f
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spelling	oai:doaj.org-article:5abcf30f11aa47f197c621704e733a2f2021-12-02T18:25:06ZAvoiding coherent errors with rotated concatenated stabilizer codes10.1038/s41534-021-00429-82056-6387https://doaj.org/article/5abcf30f11aa47f197c621704e733a2f2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00429-8https://doaj.org/toc/2056-6387Abstract Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors. Here, we propose integrating stabilizer codes with constant-excitation codes by code concatenation. Namely, by concatenating an [[n, k, d]] stabilizer outer code with dual-rail inner codes, we obtain a [[2n, k, d]] constant-excitation code immune from coherent phase errors and also equivalent to a Pauli-rotated stabilizer code. When the stabilizer outer code is fault-tolerant, the constant-excitation code has a positive fault-tolerant threshold against stochastic errors. Setting the outer code as a four-qubit amplitude damping code yields an eight-qubit constant-excitation code that corrects a single amplitude damping error, and we analyze this code’s potential as a quantum memory.Yingkai OuyangNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Yingkai Ouyang Avoiding coherent errors with rotated concatenated stabilizer codes
description	Abstract Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors. Here, we propose integrating stabilizer codes with constant-excitation codes by code concatenation. Namely, by concatenating an [[n, k, d]] stabilizer outer code with dual-rail inner codes, we obtain a [[2n, k, d]] constant-excitation code immune from coherent phase errors and also equivalent to a Pauli-rotated stabilizer code. When the stabilizer outer code is fault-tolerant, the constant-excitation code has a positive fault-tolerant threshold against stochastic errors. Setting the outer code as a four-qubit amplitude damping code yields an eight-qubit constant-excitation code that corrects a single amplitude damping error, and we analyze this code’s potential as a quantum memory.
format	article
author	Yingkai Ouyang
author_facet	Yingkai Ouyang
author_sort	Yingkai Ouyang
title	Avoiding coherent errors with rotated concatenated stabilizer codes
title_short	Avoiding coherent errors with rotated concatenated stabilizer codes
title_full	Avoiding coherent errors with rotated concatenated stabilizer codes
title_fullStr	Avoiding coherent errors with rotated concatenated stabilizer codes
title_full_unstemmed	Avoiding coherent errors with rotated concatenated stabilizer codes
title_sort	avoiding coherent errors with rotated concatenated stabilizer codes
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/5abcf30f11aa47f197c621704e733a2f
work_keys_str_mv	AT yingkaiouyang avoidingcoherenterrorswithrotatedconcatenatedstabilizercodes
_version_	1718378041119342592

Avoiding coherent errors with rotated concatenated stabilizer codes

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