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Quantum codes from a new construction of self-orthogonal algebraic geometry codes

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Quantum codes from a new construction of self-orthogonal algebraic geometry codes

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Hernando, F.; Mcguire, G.; Monserrat Delpalillo, FJ.; Moyano-Fernández, JJ. (2020). Quantum codes from a new construction of self-orthogonal algebraic geometry codes. Quantum Information Processing. 19(4):1-25. https://doi.org/10.1007/s11128-020-2616-8

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Título: Quantum codes from a new construction of self-orthogonal algebraic geometry codes
Autor: Hernando, F. McGuire, G. Monserrat Delpalillo, Francisco José Moyano-Fernández, J. J.
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes. These results ...[+]
Palabras clave: Algebraic geometry codes , Quantum error-correction , Algebraic curves , Finite fields
Derechos de uso: Reserva de todos los derechos
Fuente:
Quantum Information Processing. (issn: 1570-0755 )
DOI: 10.1007/s11128-020-2616-8
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s11128-020-2616-8
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096446-B-C22/ES/VALORACIONES, FOLIACIONES Y CODIGOS CORRECTORES DE ERRORES CUANTICOS/
...[+]
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096446-B-C22/ES/VALORACIONES, FOLIACIONES Y CODIGOS CORRECTORES DE ERRORES CUANTICOS/
info:eu-repo/grantAgreement/SFI//13%2FIA%2F1914/
info:eu-repo/grantAgreement/MINECO//MTM2015-65764-C3-2-P/ES/VALORACIONES, CAMPOS VECTORIALES ALGEBRAICOS Y CODIGOS CORRECTORES/
info:eu-repo/grantAgreement/MINECO//MTM2015-65764-C3-2-P//VALORACIONES, CAMPOS VECTORIALES ALGEBRAICOS Y CODIGOS CORRECTORES/
info:eu-repo/grantAgreement/UJI//UJI-B2018-10/
info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//AICO%2F2019%2F223//CONJUNTOS CONVEXOS ASOCIADOS A SUPERFICIES Y CODIGOS CORRECTORES DE ERRORES/
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Agradecimientos:
G. McGuire was partially supported by Science Foundation Ireland Grant 13/IA/1914. The remainder authors were partially supported by the Spanish Government and the EU funding program FEDER, Grants MTM2015-65764-C3-2-P and ...[+]
Tipo: Artículo

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