| 基于欧氏几何的量子CSS码的构造 |
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| 引用本文： | 岳克锋,赵生妹,李苗苗.基于欧氏几何的量子CSS码的构造[J].南京邮电学院学报(自然科学版),2008(4):44-47. |
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| 作者姓名： | 岳克锋 赵生妹 李苗苗 |
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| 作者单位： | 南京邮电大学信号处理与传输研究院,江苏南京210003 |
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| 基金项目： | 国家自然科学基金（60672133）、江苏省自然科学基金（BK2006236）、教育部博士点专项科研基金（20060293003）和江苏省青蓝工程（TJ207006）资助项目 |
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| 摘 要： | 利用有限几何中的点和线，构造出低密度奇偶校验（LDPC）码的校验矩阵。根据这种LDPC码的特点，通过对校验矩阵的行或列变换得到其对偶码，从而获得基于CSS码的量子LDPC码。以量子码（15，4）为例，验证了这种量子LDPC码构造算法的可行性。在仅考虑比特翻转信道下对该量子码进行性能分析，结果表明用这种方法易于得到其对偶码，并且得到的量子码比经典码有更好的性能。
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| 关 键 词： | 欧氏几何 EG—LDPC码 对偶码 CSS码 |
Construction of Quantum CSS Codes Based on Euclidean Geometry |
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| YUE Ke-feng,ZHAO Sheng-mei,LI Miao-miao.Construction of Quantum CSS Codes Based on Euclidean Geometry[J].Journal of Nanjing University of Posts and Telecommunications(Natural Science),2008(4):44-47. |
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| Authors: | YUE Ke-feng ZHAO Sheng-mei LI Miao-miao |
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| Affiliation: | ( Institute of Signal Processing and Transmission, Nanjing University of Posts and Teleeommunications, Nanjing 210003, China) |
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| Abstract: | Based on the lines and points in finite geometry, a method to construct the low density parity check codes is discussed in this paper. According to the characteristics of these codes, the dual codes of this kind of LDPC codes are obtained by splitting the rows or columns of the check matrix. A novel construction method of quantum low-density-parity-check code is developed according to the theory of quantum CSS codes. Quantum code （ 15, 4） is selected as an example to illustrate the availability of this construction method, and its performance is analyzed under the bit-flipping channel. It is shown that this method is easier to construct the dual codes, and the performance of quantum codes constructed is superior to that of classical ones. |
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| Keywords: | Euclidean geometry EG-LDPC codes Dual codes CSS codes |
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