2×3量子系统中互不偏的不可扩展最大纠缠基  

Mutually unbiased and unextendible maximally entangled bases in 2×3 quantum system

作　　者：李玮[1] 林平[1] 郑鸿楠 秦川棋 杨强[1] 陶元红[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2014年第2期109-113,共5页Journal of Yanbian University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11361065);吉林省自然科学基金资助项目(201215239)

摘　　要：讨论了2×3量子系统中不可扩展的最大纠缠基和互不偏基.首先证明一组由4个彼此规范正交的最大纠缠态可以构成2×3量子系统中不可扩展的最大纠缠基;其次通过变换C3空间的基底,构造另一组2×3量子系统中不可扩展的最大纠缠基,并证明这两组基是互不偏的;最后,在保证互不偏的前提下,将这两组不可扩展的最大纠缠基进行完备化.The unextendible maximally entangled basis and mutually unbiased basis in 2×3quantum system were discussed.Firstly,4orthonormal maximally entangled states were proved to construct an unextendible maximally entangled basis in 2×3quantum system;secondly,through changing the bases of space C3,another unextendible maximally entangled basis was established,which was proved to be unbiased with the first one;finally,the two unextendible maximally entangled bases were unbiasedly completed.

关 键 词：量子系统 最大纠缠态 不可扩展的最大纠缠基 互不偏基 

分 类 号：O177.3[理学—数学]