New theorem relating two-mode entangled tomography to two-mode Fresnel operator  

作　　者：Xie Chuan-Mei Fan Hong-Yi 谢传梅;范洪义(College of Physics&Material Science,Anhui University,Hefei 230039,China;Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]College of Physics&Material Science,Anhui University,Hefei 230039,China [2]Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026,China

出　　处：《Chinese Physics B》2012年第1期62-67,共6页中国物理B（英文版）

基　　金：Project supported by the Doctoral Scientific Research Startup Fund of Anhui University,China(Grant No.33190059);the National Natural Science Foundation of China(Grant No.10874174);the President Foundation of Chinese Academy of Sciences

摘　　要：Based on the Fan-Hu＇s formalism, i.e., the tomogram of two-mode quantum states can be considered as the module square of the states＇ wave function in the intermediate representation, which is just the eigenvector of the Fresnel quadrature phase, we derive a new theorem for calculating the quantum tomogram of two-mode density operators, i.e., the tomogram of a two-mode density operator is equal to the marginal integration of the classical Weyl correspondence function of Fl2pF2, where F2 is the two-mode Fresnel operator. An application of the theorem in evaluating the tomogram of an optical chaotic field is also presented.Based on the Fan-Hu＇s formalism, i.e., the tomogram of two-mode quantum states can be considered as the module square of the states＇ wave function in the intermediate representation, which is just the eigenvector of the Fresnel quadrature phase, we derive a new theorem for calculating the quantum tomogram of two-mode density operators, i.e., the tomogram of a two-mode density operator is equal to the marginal integration of the classical Weyl correspondence function of Fl2pF2, where F2 is the two-mode Fresnel operator. An application of the theorem in evaluating the tomogram of an optical chaotic field is also presented.

关 键 词：two-mode quantum tomogram two-mode Fresnel operator Weyl correspondence 

分 类 号：O431.2[机械工程—光学工程]