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Acta Physica Sinica

Integration over entangled state projective operators

LI Ti-jun, 菏泽学院物理系,菏泽 274015

Published Jan 1, 2009• 1 citation
Publisher

Abstract

In virture of the eigenvalue equations of operators, the entangled states' completeness relation is proved from that of the coherent states, and the integral values of non-symmetric projective operators of entangled states are obtained.
DOI
10.7498/aps.58.3665

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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〉.