Quantum error-correcting codes from algebraic geometry codes of Castle type

Munuera Gómez, Carlos; Tenório, Wanderson; Torres, Fernando

doi:10.1007/s11128-016-1378-9

Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/40697

Título

Quantum error-correcting codes from algebraic geometry codes of Castle type

Autor

Munuera Gómez, Carlos

Tenório, Wanderson

Torres, Fernando

Año del Documento

2016

Editorial

Springer

Descripción

Producción Científica

Documento Fuente

Quantum Information Processing, 2016, vol. 15. p. 4071-4088

Abstract

We study Algebraic Geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of the examples known in the literature in fact belong to this family of codes. We systematize these constructions by showing the common theory that underlies all of them.

Palabras Clave

Quantum codes

Códigos cuánticos

Self-orthogonal codes

Códigos auto-ortogonales

Algebraic geometry codes

Códigos algebraico-geométricos

ISSN

1573-1332

Revisión por pares

DOI

10.1007/s11128-016-1378-9

Patrocinador

Ministerio de Economía, Industria y Competitividad - Fondo Europeo de Desarrollo Regional (grant MTM2015-65764-C3-1-P)
Brazilian National Council for Scientific and Technological Development (grants 201584/2015-8 and 308326/2014-8)

Version del Editor

https://link.springer.com/article/10.1007/s11128-016-1378-9