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New entanglement-assisted quantum MDS codes with length n=\fracq2+15

2019/11/19 by Shixin Zhu, Wan Jiang, Zhu, Shixin +3
Computer Science · #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.1911.08416

openalex publication_date 2019/11/19 · openalex created_date 2019/12/05 · openalex updated_date 2026/07/28

Abstract

The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes (EAQECCs). In this work, we construct some new entanglement-assisted quantum MDS (EAQMDS) codes with length n=\fracq2+15 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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