Cellular automaton decoders for topological quantum codes with noisy measurements and beyond

Abstract We propose an error correction procedure based on a cellular automaton, the sweep rule, which is applicable to a broad range of codes beyond topological quantum codes. For simplicity, however, we focus on the three-dimensional toric code on the rhombic dodecahedral lattice with boundaries a...

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Autores principales:	Michael Vasmer, Dan E. Browne, Aleksander Kubica
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/1cb4026691a34e2f83b8492b19cffa56
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spelling	oai:doaj.org-article:1cb4026691a34e2f83b8492b19cffa562021-12-02T13:48:53ZCellular automaton decoders for topological quantum codes with noisy measurements and beyond10.1038/s41598-021-81138-22045-2322https://doaj.org/article/1cb4026691a34e2f83b8492b19cffa562021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81138-2https://doaj.org/toc/2045-2322Abstract We propose an error correction procedure based on a cellular automaton, the sweep rule, which is applicable to a broad range of codes beyond topological quantum codes. For simplicity, however, we focus on the three-dimensional toric code on the rhombic dodecahedral lattice with boundaries and prove that the resulting local decoder has a non-zero error threshold. We also numerically benchmark the performance of the decoder in the setting with measurement errors using various noise models. We find that this error correction procedure is remarkably robust against measurement errors and is also essentially insensitive to the details of the lattice and noise model. Our work constitutes a step towards finding simple and high-performance decoding strategies for a wide range of quantum low-density parity-check codes.Michael VasmerDan E. BrowneAleksander KubicaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Michael Vasmer Dan E. Browne Aleksander Kubica Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
description	Abstract We propose an error correction procedure based on a cellular automaton, the sweep rule, which is applicable to a broad range of codes beyond topological quantum codes. For simplicity, however, we focus on the three-dimensional toric code on the rhombic dodecahedral lattice with boundaries and prove that the resulting local decoder has a non-zero error threshold. We also numerically benchmark the performance of the decoder in the setting with measurement errors using various noise models. We find that this error correction procedure is remarkably robust against measurement errors and is also essentially insensitive to the details of the lattice and noise model. Our work constitutes a step towards finding simple and high-performance decoding strategies for a wide range of quantum low-density parity-check codes.
format	article
author	Michael Vasmer Dan E. Browne Aleksander Kubica
author_facet	Michael Vasmer Dan E. Browne Aleksander Kubica
author_sort	Michael Vasmer
title	Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
title_short	Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
title_full	Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
title_fullStr	Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
title_full_unstemmed	Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
title_sort	cellular automaton decoders for topological quantum codes with noisy measurements and beyond
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/1cb4026691a34e2f83b8492b19cffa56
work_keys_str_mv	AT michaelvasmer cellularautomatondecodersfortopologicalquantumcodeswithnoisymeasurementsandbeyond AT danebrowne cellularautomatondecodersfortopologicalquantumcodeswithnoisymeasurementsandbeyond AT aleksanderkubica cellularautomatondecodersfortopologicalquantumcodeswithnoisymeasurementsandbeyond
_version_	1718392424767684608

Cellular automaton decoders for topological quantum codes with noisy measurements and beyond

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