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Journal of Physics B Atomic Molecular and Optical Physics

New parameterized entangled state representation and its applications

Xiang‐Guo Meng, Ji‐Suo Wang, Xiaoyan Zhang, Bao‐Long Liang

Published Jul 25, 2011• 5 citations
Publisher

Abstract

By virtue of the technique of integral within an ordered product of operators, we construct a new parameterized entangled state |τs, r and prove the set of |τs, r making up a new complete and orthogonal representation. As applications, we use the state |τs, r representation to derive a two-mode entangled Fresnel operator, to formulate quantum correspondence theory of the classical circular harmonic correlator, and to develop quantum tomography of entangled systems.

DOI
10.1088/0953-4075/44/16/165506

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By virtue of the technique of integral within an ordered product of operators, we construct a new parameterized entangled state |τs, r and prove the set of |τs, r making up a new complete and orthogonal representation. As applications, we use the state |τs, r representation to derive a two-mode entangled Fresnel operator, to formulate quantum correspondence theory of the classical circular harmonic correlator, and to develop quantum tomography of entangled systems.
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The coherent entangled state |β, x〉 is proposed in Fock space, which exhibits both the properties of the coherent and entangled states. The |β, x〉 makes up a new quantum mechanical representation, and the completeness relation of |β, x〉 is proved by virtue of the technique of integral within an ordered product of operators. The corresponding Schmidt decomposition of |β, x〉 is investigated. Furthermore, a feasible experimental scheme of |β, x〉 is presented, and generalized P-representation is constructed in the coherent entangled state |β, x〉.