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Entanglement-assisted quantum codes from matrix-product codes

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Abstract

Entanglement-assisted quantum codes are studied from classical matrix-product codes point of view. Four methods to construct Entanglement-assisted quantum codes from matrix-product codes are provided. These constructions are applied to obtain numerous new Entanglement-assisted quantum codes, some of which have good parameters.

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Acknowledgements

X. Liu was supported by Research Funds of Hubei Province (Grant Nos. D20144401 and Q20174503) and Research Project of Hubei Polytechnic University (Grant No. 17xjz03A ). H. Liu was supported by China Scholarship Council (Grant No. 201606770024) and the Educational Commission of Hubei Province (Grant No. B2015096).

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  1. School of Mathematics and Physics, Hubei Polytechnic University, Huangshi, 435003, China

    Xiusheng Liu, Hualu Liu & Long Yu

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  1. Xiusheng Liu
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  2. Hualu Liu
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  3. Long Yu
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Correspondence to Xiusheng Liu.

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Liu, X., Liu, H. & Yu, L. Entanglement-assisted quantum codes from matrix-product codes. Quantum Inf Process 18, 183 (2019). https://doi.org/10.1007/s11128-019-2300-z

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