Normally Ordered Bivariate-Normal-Distribution Forms of Two-Mode Mixed States with Entanglement Involved  

作　　者：范洪义 王彤彤 胡利云 

机构地区：[1]Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026 [2]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030

出　　处：《Chinese Physics Letters》2008年第10期3539-3542,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10775097.

摘　　要：Based on the technique of integration within an ordered product of operators we have demonstrated that singlemode mixed states＇ density matrices can be recast into the normally ordered Gaussian forms [Chin. Phys. Lett. 24 （2007） 3322]. Here we employ the Weyl ordering invariance under similar transformations to show that some two-mode mixed states with entanglement involved can be put into normally ordered form in the bivariate normal distribution too and its marginal distributions can be analysed. In this way, density operators of quantum statistics can be analogous to mathematical statistics, and calculation of variances can be simplified.Based on the technique of integration within an ordered product of operators we have demonstrated that singlemode mixed states＇ density matrices can be recast into the normally ordered Gaussian forms [Chin. Phys. Lett. 24 （2007） 3322]. Here we employ the Weyl ordering invariance under similar transformations to show that some two-mode mixed states with entanglement involved can be put into normally ordered form in the bivariate normal distribution too and its marginal distributions can be analysed. In this way, density operators of quantum statistics can be analogous to mathematical statistics, and calculation of variances can be simplified.

关 键 词：the power-law exponents precipitation durative abrupt precipitation change 

分 类 号：TN918[电子电信—通信与信息系统]