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

Abstract

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 also be used to simulate the dissipative environment of quantum systems. In this paper, by combining the transform relation of beam splitter operator and the tech- nique of integration within product of 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 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.

Design of the Floating Hologram Method with a Reverse Pyramid Type for CT and MR Diagnosis in Clinical Room

“…The laser beam incident from a is split into 0 • and 90 • (θ q ) at c and b, respectively, and transmitted by a 45 • beam splitter [17]. Therefore, the transmitted wave through c is an object beam, which has a refraction angle of 45 • (θ q ) through the mirror and reaches the film through the path of b [22]. Furthermore, the beam traveling through the path of b is a reference beam [23], and this beam reaches the film and overlaps with the object beam of b to expose the subject [24].…”