计算机科学 ›› 2010, Vol. 37 ›› Issue (3): 70-72.
• 计算机网络与信息安全 • 上一篇 下一篇
钱建发,马文平
出版日期:
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QIAN Jian-fa,MA Wen-ping
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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。
关键词: 量子纠错码,准缠绕码,循环码,常循环码,准循环码
Abstract: 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.
Key words: Quantum error-correcting codes,Quasi twisted codes,Cyclic codes,Constacylic codes,Quasi-cyclic codes
钱建发,马文平. 量子纠错码的一个统一构造方法[J]. 计算机科学, 2010, 37(3): 70-72. https://doi.org/
QIAN Jian-fa,MA Wen-ping. Unified Approach to Construct Quantum Error-correcting Code[J]. Computer Science, 2010, 37(3): 70-72. https://doi.org/
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