量子态的局部酉等价分类问题研究  

A Research on Classification of Quantum States under LU Equivalence

作　　者：孙欢[1] SUN Huan(Department of Science and Technology,Weinan Normal University,Weinan 714099, China)

机构地区：[1]渭南师范学院科学技术处,陕西渭南714099

出　　处：《渭南师范学院学报》2016年第19期19-23,共5页Journal of Weinan Normal University

基　　金：国家自然科学基金项目:量子态分类与量子绝热逼近中的算子论方法(11371012)

摘　　要：讨论了在量子态局部酉等价(LU等价)条件下系统密度矩阵的有关性质,包括密度矩阵的秩、特征值及奇异值的关系,得到了两个态LU等价的充分必要条件是两者的核心张量相同或仅相差具有特定结构算子。This paper discusses the properties of density matrix of multi-partite quantum states on local unitary equivalence, including the rank,eigenvalue and singular value of density matrix. Especially,it is proved that two states are local unitary equivalence if and only if their core tensors are the same or differ by a specific structure of the operator.

关 键 词：密度矩阵 局部酉等价 奇异值 

分 类 号：O177.1[理学—数学]