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Maximal entanglement EAQECCs from cyclic and constacyclic codes over

  • 01-09-2022
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Abstract

The article explores the construction of maximal entanglement entanglement-assisted quantum error-correcting codes (ME EAQECCs) from cyclic and constacyclic codes over finite rings. It begins by introducing the concept of quantum error-correcting codes (QECCs) and their significance in quantum computing and communication. The authors then delve into the construction of ME EAQECCs, which encode information qubits into channel qubits with the help of maximally entangled states, and can correct errors more efficiently. The article presents new methods for constructing ME EAQECCs with flexible parameters, highlighting their advantages over existing codes. It also discusses the construction of ME-MDS EAQECCs, which are a special class of ME EAQECCs with maximum distance separability. The authors provide explicit examples and tables to illustrate the new codes constructed in this work. The article concludes by emphasizing the importance of further research in this area, particularly the study of -additive cyclic codes.

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Title
Maximal entanglement EAQECCs from cyclic and constacyclic codes over
Authors
Yaozong Zhang
Ying Liu
Xiaotong Hou
Jian Gao
Fanghui Ma
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/s11128-022-03685-5
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