一类量子态的迹距离相干度量的最优化证明方法  

The Optimization Method of Trace Distance Measure of Coherence for a Class of Quantum States

作　　者：王珍[1] 孔鹏[1] 

机构地区：[1]济宁学院数学系,山东曲阜273155

出　　处：《数学的实践与认识》2016年第18期291-296,共6页Mathematics in Practice and Theory

基　　金：山东省自然科学基金(ZR2014AL007);山东省高等学校科研计划项目(J14LI11);山东省高等学校青年骨干教师国内访问学者项目

摘　　要：迹距离相干度量是基于迹范数提出的量化相干的一种度量.然而,很难给出一般量子态迹距离相干度量的表达式并且找到对应的最近非相干态.通过最优化方法给出了一类d×d量子态的迹距离相干度量,并且证明了这类量子态的最近非相干态就是由该量子态去掉所有非对角元素得到的对角矩阵.Trace distance of coherence is proposed as a measure of coherence based on trace norm.However,it seems difficult to obtain the trace distance of coherence and estimate the corresponding closest incoherent states for general states.In this paper,an explicit expression for the trace distance measure of coherence for a class of d x d quantum states is provided by use of the optimization methods.It is shown that the closest incoherent state to the class of quantum states is just the diagonal matrix obtained from it by deleting all off-diagonal elements.

关 键 词：迹距离相干度量 最近非相干态 最优化方法 

分 类 号：O413.1[理学—理论物理]