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Quantum Information Processing

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01-10-2017

Quantum codes from linear codes over finite chain rings

Authors: Xiusheng Liu, Hualu Liu

Published in: Quantum Information Processing | Issue 10/2017

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Abstract

In this paper, we provide two methods of constructing quantum codes from linear codes over finite chain rings. The first one is derived from the Calderbank–Shor–Steane (CSS) construction applied to self-dual codes over finite chain rings. The second construction is derived from the CSS construction applied to Gray images of the linear codes over finite chain ring \({\mathbb {F}}_{p^{2m}}+u{\mathbb {F}}_{p^{2m}}\). The good parameters of quantum codes from cyclic codes over finite chain rings are obtained.

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Title: Quantum codes from linear codes over finite chain rings
Authors: Xiusheng Liu
Hualu Liu
Publication date: 01-10-2017
Publisher: Springer US
Published in: Quantum Information Processing / Issue 10/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-017-1695-7

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