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Quantum Information Processing

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01-02-2024

Quantum synchronizable codes from the ring \(\mathbb {F}_{q} +\) \(\varvec{v}\) \(\mathbb {F}_{q}\)

Authors: Jie Liu, Peng Hu, Xiusheng Liu

Published in: Quantum Information Processing | Issue 2/2024

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Abstract

Let \(R_{v,q}=\mathbb {F}_{q}+v\mathbb {F}_{q}\) with \(v^2=v\). In this paper, we provide three methods of constructing quantum synchronizable codes (QSCs) by using the Euclidean sums of \((1-2v)\)-constacyclic codes over \(R_{v,q}\). Concrete examples are presented to enrich the variety of available QSCs. In addition, two of methods in our research are easier than available methods for constructing QSCs and producing more QSCs.

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Title: Quantum synchronizable codes from the ring
Authors: Jie Liu
Peng Hu
Xiusheng Liu
Publication date: 01-02-2024
Publisher: Springer US
Published in: Quantum Information Processing / Issue 2/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04248-y

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