Título
Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed–Solomon codes
Documento Fuente
Computational and Applied Mathematics, November 2023, vol. 42, n. 363
Résumé
We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can construct symmetric and asymmetric entanglement-assisted quantum error-correcting codes, which in many cases have new or better parameters than the ones available in the literature.
Materias Unesco
12 Matemáticas
1203.17 Informática
Palabras Clave
Quantum codes
Evaluation codes
Subfield subcodes
Projective Reed-Solomon codes
Patrocinador
Grant TED2021-130358B-I00 funded by MCIN/AEI/10.13039/501100011033 and by the "European Union NextGenerationEU/PRTR''
Grant PID2022-138906NB-C21 funded by MCIN/AEI/10.13039/501100011033 and by ERDF "A way of making Europe''
Grant PID2022-137283NB-C22 funded by MCIN/AEI/10.13039/501100011033 and by ERDF "A way of making Europe''
Grant FPU20/01311 funded by the Spanish Ministry of Universities
QCAYLE project funded by MCIN, the European Union NextGenerationEU (PRTR C17.I1) and Junta de Castilla y León
Propietario de los Derechos
© 2023 The Authors
Tipo de versión
info:eu-repo/semantics/publishedVersion
Aparece en las colecciones
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