Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
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Other documents of the author: Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh; Ruano, Diego
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH CodesDate
2020-01-17Publisher
IEEEBibliographic citation
GALINDO, Carlos, et al. Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes. IEEE Access, 2020, 8: 18571-18579.Type
info:eu-repo/semantics/articlePublisher version
https://ieeexplore.ieee.org/document/8962087Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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 ... [+]
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. [-]
Investigation project
Spanish Government MICINN/FEDER (Grant PGC2018-096446-B-C21, GrantPGC2018-096446-B-C22, and Grant RED2018-102583-T) ; Spanish Ministry of Economy and Competitiveness (MINECO) (Grant RYC-2016-20208 (AEI/FSE/UE)) ; Generalitat Valenciana (Grant AICO-2019-223) ; Universitat Jaume I (Grant P1-1B2018-10) ; Japan Society for the Promotion of Science (JSPS) (Grant17K06419) ; Junta de CyL, Spain, (Grant VA166G18).Rights
info:eu-repo/semantics/openAccess
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