多体量子系统密度矩阵的表示  

Representations of Density Matrix of a Multipartite Quantum System

作　　者：丁巍巍[1] 陶元红[1] 李嫦娥[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《吉林大学学报（理学版）》2013年第5期831-835,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11361065);吉林省自然科学基金(批准号:201215239)

摘　　要：利用特殊酉群SU(3)的典型生成元及其性质构造矩阵空间M R(瓘)的一组Hamel基,并给出其线性无关性的证明;利用特殊酉群SU(R)的典型生成元构造矩阵空间M R1R2…Rn(瓘)的两组Hamel基,并在这两组基底下描述了多体量子系统密度矩阵的表示.With the help of the typical generators of special unitary group SU（3） and their properties, a Hamel basis of matrix space MR （C） was constructed, and its linear independence was proved in detail. Next, using the typical generators of special unitary group SU（R）, two Hamel bases of matrix space MR1R2...Rn （ C ） were established, under which a representation of density matrix of a multipartite quantum system was presented, thus providing a theoretical basis for studying quantum entanglement.

关 键 词：特殊酉群 密度矩阵 多体量子系统 Hamel基 

分 类 号：O177.3[理学—数学]