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arXiv:0911.5321

A new Coherent-Entangled state generated by an asymmetric beam splitter and its applications

Xu Ma, Shuangxi Zhang, Gang Ren

Published Nov 27, 2009• 1 citation
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Abstract

A new kind of tripartite non-symmetric coordinate coherent-entangled state (TNCCES) $ | β,γ,x >$ is proposed which exhibits the properties of both coherence and entanglement and makes up a new quantum mechanical representation.We investigate some properties of TNCCES such as completeness and orthogonality which prove it is just a tripartite complete continuous coordinate base. A protocol for generating TNCCES is proposed using asymmetric beam splitter. And in application of TNCCES, we find its corresponding Wigner operator and carry out its marginal distribution form; further a new tripartite entangled squeezed operator is also presented. The multipartite CES and its generation are also disussed.

DOI
10.48550/arxiv.0911.5321

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A new kind of tripartite non-symmetric coordinate coherent-entangled state (TNCCES) ∣β,γ,x> | β,γ,x >∣β,γ,x> is proposed which exhibits the properties of both coherence and entanglement and makes up a new quantum mechanical representation.We investigate some properties of TNCCES such as completeness and orthogonality which prove it is just a tripartite complete continuous coordinate base. A protocol for generating TNCCES is proposed using asymmetric beam splitter. And in application of TNCCES, we find its corresponding Wigner operator and carry out its marginal distribution form; further a new tripartite entangled squeezed operator is also presented. The multipartite CES and its generation are also disussed.
A new kind of tripartite coherent-entangled state (CES) ∣β,γ,x⟩μντ\ket{β,γ, x}_{μντ}∣β,γ,x⟩μντ​ is proposed, which exhibits the properties of both coherence and entanglement. We investigate its completeness and orthogonality, and find it can make up a representation of tripartite CES. A protocol for generating the tripartite CES is proposed using asymmetric beam splitter. Applications of the tripartite CES in quantum optics are also presented.
A new kind of continuous variable n -mode coherent–entangled state (CV-NCES) | x 2 , x 3 , ⋅⋅⋅, x n , α〉 is proposed, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of CV-NCES is derived by the Fourier transformation. Moreover, a simple experimental protocol of generating a CV-NCES is proposed by using beam splitters. As applications of this CV-NCES in quantum optics, a new n -mode squeezing-Fresnel operator is constructed.
Using the technique of integration within an ordered product of operators we construct a generalized two-mode entangled state, which can be generated by an asymmetrical beam splitter (BS). Some important properties of this state, such as orthogonality and Schmidt decomposition, are also discussed by deriving the expression of BS operator in coordinate representation. As its applications, to conjugate state, obtain operator identities, generate new squeezing operators (squeezed state) are also presented. It is shown that the fidelity of quantum teleportation can be enhanced under certain case by using the asymmetrical new squeezed state as entangled resource.