MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codes
Impacto
Scholar |
Otros documentos de la autoría: Barbero Lucas, Beatriz; Hernando, Fernando; Martín-Cruz, Helena; McGuire, Gary
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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INVESTIGACIONMetadatos
Título
MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codesFecha de publicación
2024-03-01Editor
Springer NatureISSN
1570-0755; 1573-1332Cita bibliográfica
Barbero-Lucas, B., Hernando, F., Martín-Cruz, H. et al. (2024) MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codes. Quantum Inf Process 23, 86.Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formulas for the minimum distance and ... [+]
We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formulas for the minimum distance and dimension. Generalized monomial-Cartesian codes arise from polynomials in m variables. When
our codes are MDS, and when and our lower bound for the minimum distance is 3, the codes are at least Hermitian almost MDS. For an infinite family of parameters, when we prove that our codes beat the Gilbert–Varshamov bound. We also present many examples of our codes that are better than any known code in the literature. [-]
Publicado en
Quantum Information Processing, Vol. 23 (2024)Entidad financiadora
IReL Consortium | Ministerio de Ciencia, Innovación y Universidades / Agencia Estatal de Investigación (AEI) | European Union NextGenerationEU/PRTR | Universitat Jaume I
Código del proyecto o subvención
10.13039/501100011033 | TED2021-130358B-I00 | PID2022-138906NB-C22 | UJI-B2021-02 | GACUJIMB/2023/03 | PREDOC/2020/39
Derechos de acceso
info:eu-repo/semantics/openAccess
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