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Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes

  • 01-09-2022
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Abstract

The article introduces new families of entanglement-assisted quantum maximum distance separable (MDS) codes derived from negacyclic codes. It focuses on specific prime power forms and lengths, constructing EAQMDS codes with flexible parameters and highlighting the role of pre-shared maximally entangled states. The paper presents detailed constructions and examples, showcasing the advantages of these codes in quantum error correction and quantum communications.

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Title
Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes
Authors
Liqi Wang
Pan Wang
Shixin Zhu
Publication date
01-09-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 9/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03661-z
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