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量子纠错码的一个统一构造方法 被引量：3

Unified Approach to Construct Quantum Error-correcting Code
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摘要 在量子通信和量子计算中,量子纠错码起着至关重要的作用。人们已经利用Hamming码、BCH码、Reed-Solomon码等各种循环码、常循环码、准循环码来构造量子纠错码。利用准缠绕码将这些构造方法统一起来,给出了准缠绕码包含其对偶码的充分必要条件及准缠绕码的一个新构造方法,并且利用准缠绕码构造了新的量子纠错码。 Quantum error-correcting codes play an important role in not only ctuantum communication but also ctuantum computation. All kinds of cyclic codes,for example, Hamming codes,BCH codes and Recd-Solomon codes et al.,constacyclic codes and quasi cyclic codes have been used to construct quantum error-correcting codes. An unified approach to constructctuantum error-correcting codes was presented by using ctuasi-twisted codes. A sufficient and necessary condition for quasi-twisted contained its dual codes, and a new method for constructing quasi twisted codes was given. Moreover, new cauantum quasi-twisted codes were obtained by using quasi-twisted codes.
作者 钱建发 马文平
机构地区 西安电子科技大学ISN国家重点实验室 安徽理工大学理学院
出处 《计算机科学》 CSCD 北大核心 2010年第3期70-72,共3页 Computer Science
基金 国家重点基金项目(2007AA01Z472) 国家自然科学基金(60773002 60672119 60873144) 教育部留学回国人员科研启动基金 ISN开放课题 安徽省自然科学基金(090412251)资助
关键词 量子纠错码 准缠绕码 循环码 常循环码 准循环码 Quantum error-correcting codes, Quasi-twisted codes, Cyclic codes, Constacylic codes, Quasi-cyclic codes
分类号 TN918 [电子电信—通信与信息系统]
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参考文献17

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二级参考文献1

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共引文献4

同被引文献30

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计算机科学
2010年 第3期

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