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New entanglement-assisted quantum MDS codes with length

  • 01-07-2020
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Abstract

The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes. In this work, we construct some new entanglement-assisted quantum maximum distance separable codes with length \(n=\frac{q^2+1}{5}\) from cyclic codes. Compared with all the previously known parameters with the same length, all of them have flexible parameters and larger minimum distance.

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Title
New entanglement-assisted quantum MDS codes with length
Authors
Shixin Zhu
Wan Jiang
Xiaojing Chen
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/s11128-020-02706-5
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