Representation of the coherent state for a beam splitter operator and its applications  

作　　者：Mingxia Zhan Fang Jia Jiali Huang Huan Zhang Liyun Hu 

机构地区：[1]Center for Quantum Science and Technology,Jiangxi Normal University,Nanchang 330022,China [2]Institute for Military-civilian integration of Jiangxi province,Nanchang 330029,China

出　　处：《Communications in Theoretical Physics》2022年第3期11-19,共9页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11964013,11664017);the Training Program for Academic and Technical Leaders of Major Disciplines in Jiangxi Province(20204BCJL22053)。

摘　　要：A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state representation,but it can also be used to simulate the dissipative environment of quantum systems.In this paper,by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator,we present the coherent state representation of the operator and the corresponding normal ordering form.Based on this,we consider the applications of the coherent state representation of the beam splitter operator,such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables.Furthermore,we extend our investigation to two single and two-mode cascaded beam splitter operators,giving the corresponding coherent state representation and its normal ordering form.In addition,the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated,and the fidelity is discussed.The above results provide good theoretical value in the fields of quantum optics and quantum information.

关 键 词：beam splitter operator coherent state representation the technique of integration within product of operator quantum teleportation 

分 类 号：O413[理学—理论物理]