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Quantum Information Processing

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01-03-2018

Entanglement-assisted quantum MDS codes from negacyclic codes

Authors: Liangdong Lu, Ruihu Li, Luobin Guo, Yuena Ma, Yang Liu

Published in: Quantum Information Processing | Issue 3/2018

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Abstract

The entanglement-assisted formalism generalizes the standard stabilizer formalism, which can transform arbitrary classical linear codes into entanglement-assisted quantum error-correcting codes (EAQECCs) by using pre-shared entanglement between the sender and the receiver. In this work, we construct six classes of q-ary entanglement-assisted quantum MDS (EAQMDS) codes based on classical negacyclic MDS codes by exploiting two or more pre-shared maximally entangled states. We show that two of these six classes q-ary EAQMDS have minimum distance more larger than \(q+1\). Most of these q-ary EAQMDS codes are new in the sense that their parameters are not covered by the codes available in the literature.

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Title: Entanglement-assisted quantum MDS codes from negacyclic codes
Authors: Liangdong Lu
Ruihu Li
Luobin Guo
Yuena Ma
Yang Liu
Publication date: 01-03-2018
Publisher: Springer US
Published in: Quantum Information Processing / Issue 3/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-018-1838-5

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