东南大学学报(自然科学版)2017,Vol.47Issue(1):18-22,5.DOI:10.3969/j.issn.1001-0505.2017.01.004
非对称量子乘积张量积码
Asymmetric quantum product and tensor product codes
摘要
Abstract
To solve the physical phenomenon that the probability of the quantum qubit-flipping errors is much less than that of the phase-flipping errors in many quantum channel models,the asymmetric quantum error-correcting codes (AQECCs),called as asymmetric quantum product and tensor prod-uct codes,are constructed based on classical product codes and tensor product codes.The product codes are used to correct the qubit-flipping errors and the tensor product codes are used to correct the phase-flipping errors.If the two component codes satisfy the dual containing conditions,then the re-sultant product codes and tensor product codes satisfy the dual containing conditions.A new class of AQECCs is constructed based on three classes of classical error-correcting codes satisfying the dual containing restrictions.The results show that that the proposed asymmetric quantum product and ten-sor product codes have obvious asymmetries.Compared with the known AQECCs,parts of the asymmetric quantum product and tensor product codes have better parameters than the known AQECCs.关键词
量子纠错码/非对称量子纠错码/乘积码/张量积码Key words
quantum error-correcting code/asymmetric quantum error-correcting code/product code/tensor product code分类
信息技术与安全科学引用本文复制引用
樊继豪,陈汉武,李荣贵..非对称量子乘积张量积码[J].东南大学学报(自然科学版),2017,47(1):18-22,5.基金项目
国家自然科学基金资助项目(61170321)、高等学校博士学科点专项科研基金资助项目(20110092110024)、江苏省自然科学基金资助项目(BK20140823)、江苏省普通高校研究生科研创新计划资助项目(CXZZ13_0105). ()