密度矩阵的表示  

The Representation of Density Matrix

作　　者：杨莹[1] 曹怀信[2] 

机构地区：[1]运城学院应用数学系,运城044000 [2]陕西师范大学数学与信息科学学院,西安710062

出　　处：《应用泛函分析学报》2015年第1期1-12,共12页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金资助项目(11171197);山西省自然科学基金资助项目(2013011003-1);运城学院院级项目(XK-2012008)

摘　　要：介绍了密度矩阵的概念、Hilbert-Schmidt内积、由此内积诱导的范数,然后以矩阵及算子理论为基础,借助内积这一数学工具给出了二阶、四阶、八阶密度阵的表示,并对二阶、四阶、八阶密度阵表示进行了分析,得到了相关结论,最后将其结论推广到2~n阶密度阵.The concept of density matrix,Hilbert-Schmidt inner product and the norm induced by this inner product are introduced;and then based on the matrix and operator theory,the representation of two order,four order and eight order density matrix by using inner product are obtained;in addition,relevant conclusions are given by exploring the representation of two order,four order and eight order density matrix;finally,the conclusions are extended to 2~n order density matrix.

关 键 词：密度矩阵 内积 范数 正规正交基 

分 类 号：O177.92[理学—数学]