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Three-Mode Cyclic Squeezed States Constructed via EPR Entangled State

Xu, Xue-Fen

我们构造三模式的周期的挤压的状态并且由在 Einstein-Podolsky-Rosen 在操作员的一个订的产品和二模式的压榨操作员的生来的表示以内使用集成的技术分析它的压榨的性质纠缠的州的基础。

理论物理通讯：英文版Jan 1, 20070 citations

New Three-Mode Einstein-Podolsky-Rosen Entangled State Representation and Its Application in Squeezing Theory

Fan Hong-Yi, Nian-Quan Jiang

By extending the Einstein-Podolsky-Rosen bipartite entanglement to the tripartite case, we construct the common eigenvector of the tripartite centre-of-mass coordinate and two mass-weighted relative momenta, which is a new entangled state of continuum variables. The classical dilation transform of variables in such a state induces a new three-mode squeezing operator related to a three-mode bosonic operator realization of SU(1,1) Lie algebra.

Chinese Physics LettersOct 1, 200211 citations

Teleportation of a Two—Mode Squeezed State

范洪义, 范悦

By virtue of the Einstein-Podolsky-Rosen (EPR) pair eigenstates |η>we derive the result of quantum teleportation of a two-mode squeezed state.The calculation can be greatly simplified by using the natural representation of the two-mode squeezing operator in the complete and orthonormal |η> representation.

Chinese Physics LettersJan 1, 20020 citations

Teleportation of a Two-Mode Squeezed State

Fan Hong‐Yi, Fan Yue

By virtue of the Einstein-Podolsky-Rosen (EPR) pair eigenstates |η⟩ we derive the result of quantum teleportation of a two-mode squeezed state. The calculation can be greatly simplified by using the natural representation of the two-mode squeezing operator in the complete and orthonormal |η⟩ representation.

Chinese Physics LettersFeb 1, 200216 citations

Squeezing Transformation of Three-Mode Entangled State

Xiao-Qing Qian, Song Tong-Qiang

We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed | p , χ 2 , χ 3 ⟩ → μ -3/2 | p /μ, χ 2 /μ, χ 3 /μ ⟩ and the optical implement to realize such a squeezed state. We also reveal that c -number asymmetric shrink transform in the three-mode entangled state, i.e. | p , χ 2 , χ 3 ⟩ → μ -1/2 | p /μ, χ 2 , χ 3 ⟩, maps onto a kind of one-sided three-mode squeezing operator exp {iλ/3 (∑ i =1 3 P i ) (∑ i =1 3 Q i ) − λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states.We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed | p , χ 2 , χ 3 ⟩ → μ -3/2 | p /μ, χ 2 /μ, χ 3 /μ ⟩ and the optical implement to realize such a squeezed state. We also reveal that c -number asymmetric shrink transform in the three-mode entangled state, i.e. | p , χ 2 , χ 3 ⟩ → μ -1/2 | p /μ, χ 2 , χ 3 ⟩, maps onto a kind of one-sided three-mode squeezing operator exp {iλ/3 (∑ i =1 3 P i ) (∑ i =1 3 Q i ) − λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states.

Communications in Theoretical PhysicsNov 1, 20051 citation

Squeezing Transformation of Three-Mode Entangled State

Qian Qian, Xiaoqing, Song +1 more

We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed | p, x2, x3> →μ-3/2|p/μ, x2/μ, x3/μ> and the optical implement to realize such a squeezed state. We also reveal that c-number asymmetric shrink transform in the three-mode entangled state, i.e. |p, x2,x3> →μ-1/2|p/μ,x2,x3>, maps onto a kind of one-sided three-mode squeezing operator exp{iλ/3(∑3i=1 Pi) (∑3i=1 Qi) - λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states.We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed | p, x2, x3> →μ-3/2|p/μ, x2/μ, x3/μ> and the optical implement to realize such a squeezed state. We also reveal that c-number asymmetric shrink transform in the three-mode entangled state, i.e. |p, x2,x3> →μ-1/2|p/μ,x2,x3>, maps onto a kind of one-sided three-mode squeezing operator exp{iλ/3(∑3i=1 Pi) (∑3i=1 Qi) - λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states.

理论物理通讯：英文版Jan 1, 20051 citation

Three-Mode Cyclic Squeezed States Constructed via EPR Entangled State

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Three-Mode Cyclic Squeezed States Constructed via EPR Entangled State

Abstract

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