On new quantum codes from matrix product codes

Xiusheng Liu; Hai Q. Dinh; Hualu Liu; Long Yu

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On new quantum codes from matrix product codes

机译：关于矩阵乘积码的新量子码

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摘要

AbstractQuantum error-correcting codes are studied from classical matrix product codes point of view. Two methods to construct quantum codes from matrix product codes are provided. These constructions are applied to obtain numerous new quantum codes, some of them have better parameters than current quantum codes available.

机译：从经典矩阵乘积码的角度研究了 Abstract 量子纠错码。提供了两种从矩阵乘积码构造量子码的方法。这些构造可用于获得许多新的量子代码，其中一些参数比当前可用的量子代码更好。

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来源
《Cryptography and Communications》 |2018年第4期|579-589|共11页
作者
Xiusheng Liu; Hai Q. Dinh; Hualu Liu; Long Yu;
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作者单位

School of Mathematics and Physics, Hubei Polytechnic University;

Department of Mathematical Sciences, Kent State University;

School of Mathematics and Physics, Hubei Polytechnic University;

School of Mathematics and Physics, Hubei Polytechnic University;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Quantum codes; Matrix product codes; Hermitian construction;

机译：量子码矩阵乘积码厄米构造;

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1. Construction of Quantum Codes From Matrix-Product Codes [J] . Cao Meng, Wang Haoxu, Cui Jianlian IEEE communications letters . 2020,第4期

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2. New Quantum Codes From Matrix-Product Codes [J] . Hao Song, Luo Bin Guo, Liang Dong Lv, Procedia Computer Science . 2019,第22期

机译：矩阵中的新量子码-产品码
3. New Quantum Codes From Matrix-Product Codes [J] . Hao Song, Luo Bin Guo, Liang Dong Lv, Procedia Computer Science . 2019,第19期

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4. Formula of channel matrix for coded quantum signals by classical linear codes over Zm [C] . 2010 International Symposium on Information Theory and its Applications . 2010

机译：Z m 上经典线性编码的量子信号编码信道矩阵的公式
5. The weight hierarchies of product codes and outer product codes [D] . Park, Jeng Yune. 1999

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6. The Protein Coded by a Short Open Reading Frame Not by the Annotated Coding Sequence Is the Main Gene Product of the Dual-Coding Gene MIEF1 [O] . Vivian Delcourt, Mylène Brunelle, Annie V. Roy, 2018

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7. 1 New Quantum Codes from Evaluation and Matrix-Product Codes [O] . Carlos Galindo, O Hern, Diego Ruano 2016

机译：1评估和矩阵产品代码中的新量子代码

On new quantum codes from matrix product codes

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