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Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed–Solomon codes

  • 01-07-2020
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Abstract

Entanglement-assisted quantum maximum distance separable (MDS) codes form a significant class of quantum codes. By using generalized Reed–Solomon (GRS) codes and extended GRS codes, we construct some new classes of q-ary entanglement-assisted quantum error-correcting MDS codes. Most of these codes are new in the sense that their parameters are not covered by the codes available in the literature.

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Title
Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed–Solomon codes
Authors
Fuyin Tian
Shixin Zhu
Publication date
01-07-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02704-7
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