On the distance of stabilizer quantum codes from J-affine variety codes

Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano Benito, Diego

doi:10.1007/s11128-017-1559-1

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On the distance of stabilizer quantum codes from J-affine variety codes

dc.contributor.author	Galindo, Carlos
dc.contributor.author	Geil, Olav
dc.contributor.author	Hernando, Fernando
dc.contributor.author	Ruano Benito, Diego
dc.date.accessioned	2018-09-24T12:27:20Z
dc.date.available	2018-09-24T12:27:20Z
dc.date.issued	2017
dc.identifier.citation	Quantum Information Processing. Volume 16, Issue 4, 16:111 (2017)	es
dc.identifier.uri	http://uvadoc.uva.es/handle/10324/31724
dc.description	Producción Científica	es
dc.description.abstract	Self-orthogonal J-affine variety codes have been successfully used to obtain quantum stabilizer codes with excellent parameters. In a previous paper we gave formulae for the dimension of this family of quantum codes, but no bound for the minimum distance was given. In this work, we show how to derive quantum stabilizer codes with designed minimum distance from J-affine variety codes and their subfield-subcodes. Moreover, this allows us to obtain new quantum codes, some of them either, with better parameters, or with larger distances than the previously known codes.	es
dc.format.mimetype	application/pdf	es
dc.language.iso	eng	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title	On the distance of stabilizer quantum codes from J-affine variety codes	es
dc.type	info:eu-repo/semantics/article	es
dc.identifier.doi	10.1007/s11128-017-1559-1	es
dc.relation.publisherversion	https://link.springer.com/articl/10.1007%2Fs11128-017-1559-1	es
dc.peerreviewed	SI	es
dc.description.project	Supported by the Spanish Ministry of Economy/FEDER: grants MTM2012-36917-C03-03 and MTM2015-65764-C3-2-P, the University Jaume I: grant PB1-1B2015-02 and the Danish Council for Independent Research: grant DFF-4002-00367.	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International

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