RT info:eu-repo/semantics/article
T1 Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
A1 Galindo, Carlos
A1 Hernando, Fernando
A1 Matsumoto, Ryutaroh
A1 Ruano Benito, Diego
AB The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors are more probable than qudit-flip errors. Moreover, they use  pre-shared entanglement between encoder and decoder to simplify the theory of quantum error correction and increase the communication capacity. Thus,  asymmetric EAQECCs can be constructed from any pair of classical linear codes over an arbitrary field. Their parameters are described and a Gilbert-Varshamov bound is presented. Explicit parameters of  asymmetric EAQECCs from BCH codes are computed and examples exceeding the introduced Gilbert-Varshamov bound are shown.
PB IEEE
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/45997
UL http://uvadoc.uva.es/handle/10324/45997
LA eng
NO C. Galindo, F. Hernando, R. Matsumoto, D. Ruano: Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes. IEEE Access. Volume 8, pages 18571-18579 (2020)
NO Producción Científica
DS UVaDOC
RD 22-dic-2024