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Quantum Information Processing

Two classes of entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes

  • 01-07-2022
Published in:
Authors
Weiwei Wang
Jiantao Li
Published in
Quantum Information Processing | Issue 7/2022

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Abstract

The article delves into the construction of two new classes of entanglement-assisted quantum MDS codes using generalized Reed–Solomon codes. These codes extend the lengths of previously known codes, offering more flexible parameters and lengths that are not necessarily divisors of q. The authors provide detailed constructions and proofs, highlighting the novelty and significance of their work in the field of quantum error correction. The paper is structured to first introduce the necessary preliminaries, then present the new constructions, and finally demonstrate the uniqueness of the proposed codes compared to existing literature.
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previous article Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system
next article Efficient chain-encryption-based quantum signature scheme with semi-trusted arbitrator
Title
Two classes of entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes
Authors
Weiwei Wang
Jiantao Li
Publication date
01-07-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03595-6
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