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Erschienen in: Journal of Applied Mathematics and Computing 1-2/2021

13.03.2021 | Original Research

Four classes of new entanglement-assisted quantum optimal codes

verfasst von: Xiaojing Chen, Shixin Zhu, Wan Jiang, Binbin Pang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

Entanglement-assisted quantum error-correcting codes (EAQECCs) provide a general framework for quantum code construction, which overcome certain self-orthogonal restriction. It becomes one main task in quantum error-correction to find EAQECCs with good parameters, especially entanglement-assisted quantum maximum distance separable (EAQMDS) codes. In this work, we construct four new families of EAQECC codes with flexible parameters in view of negacyclic codes. It is worth pointing out that those EAQECCs are EAQMDS codes when \(d\le (n+2)/2\). By exploring the selection of defining sets, the constructed EAQECCs possess larger minimum distance in contrast with the known results in the literatures.
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Metadaten
Titel
Four classes of new entanglement-assisted quantum optimal codes
verfasst von
Xiaojing Chen
Shixin Zhu
Wan Jiang
Binbin Pang
Publikationsdatum
13.03.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-021-01523-y

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