Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2
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Título
Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2Fecha de publicación
2021-05-03Editor
Springer NatureISSN
1570-0755; 1573-1332Cita bibliográfica
Galindo, 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/s11128-021-03101-4Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Entanglement-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 ... [+]
Entanglement-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. [-]
Publicado en
Quantum Information Processing 20, 158 (2021)Entidad financiadora
Ministerio de Ciencia e Innovación (MCI/AEI/FEDER, UE) | Ministerio de Economia (AEI/FSE/UE) | Junta de Castilla y Leon (Spain) | Generalitat Valenciana | Universitat Jaume I
Código del proyecto o subvención
PGC2018-096446-BC21 | PGC2018-096446-B-C22 | RED2018-102583-T | RYC-2016-20208 | VA166G18 | AICO- 2019-223 | P1-1B2018-10
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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