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| 基于快速Jacket变换的量子纠错码* | |
| 引用本文： | 黄成荣,郭迎,李门浩.基于快速Jacket变换的量子纠错码*[J].计算机应用研究,2011,28(3):1114-1118. |
| 作者姓名： | 黄成荣 郭迎 李门浩 |
| 作者单位： | 1. 广西经贸职业技术学院计算机信息工程系,南宁530021;中南大学信息科学与工程学院,长沙410083 2. 中南大学信息科学与工程学院,长沙,410083 3. 全北国立大学信息与通信工程系,韩国全州561-756 |
| 基金项目： | 国家自然科学基金资助项目 |
| 摘 要： | 受到基于Pauli矩阵的快速Jacket变换的启发，提出一种利用分块Jacket矩阵简化量子纠错码编码方案的方法。与已有的量子纠错码构造法相比，在构造量子Jacket码的稳定子的时候，不需要检验经典纠错码的“自对偶”条件，因此，它能促使高效地利用由分块Jacket矩阵产生的Pauli矩阵群的交换子群直接生成辛内积为零的独立向量，在此基础上构造出码长较大、参数较好的量子纠错码。该量子Jacket码具有构造快速、纠错行为渐进好的优点。 |
| 关 键 词： | 量子纠错码 Kronecker矩阵积 量子信息 |
| 收稿时间： | 9/2/2010 12:00:00 AM |
| 修稿时间： | 2011/2/12 0:00:00 |
Quantum error-correction codes based on fast Jacket transform |
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| HUANG Cheng-rong,GUO Ying,LEE Moon-ho.Quantum error-correction codes based on fast Jacket transform[J].Application Research of Computers,2011,28(3):1114-1118. | |
| Authors: | HUANG Cheng-rong GUO Ying LEE Moon-ho |
| Affiliation: | (1.Dept. of Computer & Engineering, Guangxi Economic Trade Polytechnic, Nanning 530021, China; 2. School of Information Science & Engineering, Central South University, Changsha 410083, China; 3.Dept. of Information & Communication Engineering, Institute of Information & Communication, Chonbuk National University, Chonju 561-756, Korea) |
| Abstract: | Motivated by the fast block Jacket transform based on Pauli matrices, we show how block Jacket matrix can simplify the coding theory of quantum error-correction. Quantum Jacket codes (QJCs) we provide do not require the dual-containing constraint necessary for standard quantum error-correction codes (QECCs), thus allowing us to construct quantum codes of large block length with efficiency. These QJCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded block Jacket matrix, and have advantages of being fast constructed with asymptotically good behaviors. |
| Keywords: | Quantum error correction code Kronecker product matrix quantum information |
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