Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array

By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays. As an application of these methods, we construct several infinite series of quantum error-correcting codes including som...

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Detalles Bibliográficos
Autores principales: Pang, Shanqi, Xu, Hanxiao, Chen, Mengqian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9317266/
https://www.ncbi.nlm.nih.gov/pubmed/35885223
http://dx.doi.org/10.3390/e24071000
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author Pang, Shanqi
Xu, Hanxiao
Chen, Mengqian
author_facet Pang, Shanqi
Xu, Hanxiao
Chen, Mengqian
author_sort Pang, Shanqi
collection PubMed
description By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays. As an application of these methods, we construct several infinite series of quantum error-correcting codes including some optimal ones. Compared with the existing binary quantum codes, more new codes can be constructed, which have a lower number of terms (i.e., the number of computational basis states) for each of their basis states.
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spelling pubmed-93172662022-07-27 Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array Pang, Shanqi Xu, Hanxiao Chen, Mengqian Entropy (Basel) Article By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays. As an application of these methods, we construct several infinite series of quantum error-correcting codes including some optimal ones. Compared with the existing binary quantum codes, more new codes can be constructed, which have a lower number of terms (i.e., the number of computational basis states) for each of their basis states. MDPI 2022-07-19 /pmc/articles/PMC9317266/ /pubmed/35885223 http://dx.doi.org/10.3390/e24071000 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Pang, Shanqi
Xu, Hanxiao
Chen, Mengqian
Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
title Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
title_full Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
title_fullStr Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
title_full_unstemmed Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
title_short Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
title_sort construction of binary quantum error-correcting codes from orthogonal array
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9317266/
https://www.ncbi.nlm.nih.gov/pubmed/35885223
http://dx.doi.org/10.3390/e24071000
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