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Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2

dc.contributor.authorGalindo, Carlos
dc.contributor.authorHernando, Fernando
dc.contributor.authorRuano, Diego
dc.date.accessioned2021-07-05T10:43:26Z
dc.date.available2021-07-05T10:43:26Z
dc.date.issued2021-05-03
dc.identifier.citationGalindo, C., Hernando, F. & Ruano, D. Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2. Quantum Inf Process 20, 158 (2021). https://doi.org/10.1007/s11128-021-03101-4ca_CA
dc.identifier.issn1570-0755
dc.identifier.issn1573-1332
dc.identifier.urihttp://hdl.handle.net/10234/193637
dc.description.abstractEntanglement-assisted quantum error-correcting codes (EAQECCs) constructed from Reed–Solomon codes and BCH codes are considered in this work. It is provided a complete and explicit formula for the parameters of EAQECCs coming from any Reed–Solomon code, for the Hermitianmetric, and from anyBCHcode with extension degree 2 and consecutive cyclotomic cosets, for both the Euclidean and the Hermitian metric. The main task in this work is the computation of a completely general formula for c, the minimum number of required maximally entangled quantum states.ca_CA
dc.format.extent26 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherSpringer Natureca_CA
dc.relation.isPartOfQuantum Information Processing 20, 158 (2021)ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/ca_CA
dc.subjectEAQECCca_CA
dc.subjectentanglement-assisted quantum codesca_CA
dc.subjectReed–Solomon codesca_CA
dc.subjectBCH codesca_CA
dc.subjectsubfield subcodesca_CA
dc.subjectcyclotomic cosetsca_CA
dc.titleEntanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2ca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1007/s11128-021-03101-4
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.date.embargoEndDateinfo:eu-repo/date/embargoEnd/2022-05-03
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA
project.funder.nameMinisterio de Ciencia e Innovación (MCI/AEI/FEDER, UE)ca_CA
project.funder.nameMinisterio de Economia (AEI/FSE/UE)ca_CA
project.funder.nameJunta de Castilla y Leon (Spain)ca_CA
project.funder.nameGeneralitat Valencianaca_CA
project.funder.nameUniversitat Jaume Ica_CA
oaire.awardNumberPGC2018-096446-BC21ca_CA
oaire.awardNumberPGC2018-096446-B-C22ca_CA
oaire.awardNumberRED2018-102583-Tca_CA
oaire.awardNumberRYC-2016-20208ca_CA
oaire.awardNumberVA166G18ca_CA
oaire.awardNumberAICO- 2019-223ca_CA
oaire.awardNumberP1-1B2018-10ca_CA


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