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Entanglement-assisted quantum MDS codes constructed from constacyclic codes

  • 01-10-2018
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Abstract

Recently, entanglement-assisted quantum error-correcting codes (EAQECCs) have been constructed by cyclic codes and negacyclic codes. In this paper, by decomposing the defining set of constacyclic codes, we construct four classes of new EAQECCs, which satisfy the entanglement-assisted quantum Singleton bound.

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Title
Entanglement-assisted quantum MDS codes constructed from constacyclic codes
Authors
Xiaojing Chen
Shixin Zhu
Xiaoshan Kai
Publication date
01-10-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 10/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-2044-1
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