纺织高校基础科学学报2017，Vol.30Issue(4)：511-515,5.DOI:10.13338/j.issn.1006-8341.2017.04.011
无噪音量子码的一些性质
Some properties of noiseless quantum codes
摘要
Abstract
A quantum code of a quantum system S is an arbitrary non-empty subset C of the set D( H ) of all density operators on complex Hilbert space H that describes the system S ,a quantum channel of S is a completely positive and trace preserving linear map ε on B(H ) .Some properties of noiseless quantum codes are researched and the relationships of strongly preserved code ,weakly preserved code and noiseless codes are obtained .It is proved that when the image of a code C under a quantum channel ε is contained in the fixed-point set of ε ,C is a noiseless code of ε if and only if C is weakly preserved by ε .For an arbitrary quantum channel ε and a quantum code C ,it is also proved that C is a noiseless code of ε if and only if it is a noiseless code of any convex combination of ε and ε2 .Lastly ,a weakly preserved code and a noiseless code of a quantum channel of the quantum system C2 ? C2 are presented .关键词
量子码/量子信道/无噪音码Key words
quantum code/quantum channel/noiseless quantum code分类
数理科学引用本文复制引用
张程泱,曹怀信..无噪音量子码的一些性质[J].纺织高校基础科学学报,2017,30(4):511-515,5.基金项目
国家自然科学基金资助项目(11371012) （11371012）
