Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

理论物理通讯：英文版

Four-Particle Entangled State Representation and Its Squeezing Transformation

SONGTong-Qiang

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The four-particle EPR entangled state | p, x2, x3, x4〉is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p → eλ1p, x2 → eλ2x2, xs → eλ3x3, and x4 → eλ4x4 in the state | p, x2, x3, x4〉 is investigated, and the four-mode realization of the SU(1,1) Lie algebra as well as the corresponding squeezing operators are presented.

Related papers

Four-Particle Entangled State Representation and Its Squeezing Transformation

Song Tong-Qiang

The four-particle EPR entangled state | p ,χ 2 ,χ 3 ,χ 4 ⟩ is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p → e λ 1 p , χ 2 → e λ 2 χ 2 , χ 3 → e λ 3 χ 3 , and χ 4 → e λ 4 χ 4 in the state | { p ,χ 2 ,χ 3 ,χ 4 }⟩ is investigated, and the four-mode realization of the SU(1,1) Lie algebra as well as the corresponding squeezing operators are presented.

Communications in Theoretical Physics•Jun 1, 2005•0 citations

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.

理论物理通讯：英文版•Jan 1, 2005•1 citation

Multi-Partite EPR Entangled State Representation for Continuous Variables and Its Application in Squeezing Theory

Nian-Quan Jiang

By extending the Einstein–Podolsky–Rosen (EPR) bipartite entanglement to an n-partite case, we construct the common eigenstate of the n-partite total coordinate and relative momenta for the continuous variables. The entanglement property of the state is shown. The classical dilation transform of variables in such a state induces a new n-mode squeezing operator related to an n-mode bosonic operator realization of SU(1,1) Lie algebra.

Chinese Physics Letters•Apr 14, 2005•7 citations

Multi-Partite EPR Entangled State Representation for Continuous Variables and Its Application in Squeezing Theory

姜年权

By extending the Einstein-Podolsky-Rosen (EPR) bipartite entanglement to an n-partite case, we construct the common eigenstate of the n-partite total coordinate and relative momenta for the continuous variables. The entanglement property of the state is shown. The classical dilation transform of variables in such a state induces a new n-mode squeezing operator related to an n-mode bosonic operator realization of SU(1,1) Lie algebra.

Chinese Physics Letters•Jan 1, 2005•0 citations

Squeezing Transformation of Three-Mode Entangled State

Qian Xiao

We introduce the three-mode entangled state and set up an experiment to generate it.Then we dis- cuss 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 cu- tangled 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(∑_(i=1)~3 P_i)(∑_(i=1)~3 Q_i)-λ/2}.Using the technique of integration within an ordered product(IWOP)of opera- tors,we derive their normally ordered forms and construct the corresponding squeezed states.

理论物理通讯：英文版•Jan 1, 2005•0 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 Letters•Oct 1, 2002•11 citations
The four-particle EPR entangled state | p, x2, x3, x4〉is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p → eλ1p, x2 → eλ2x2, xs → eλ3x3, and x4 → eλ4x4 in the state | p, x2, x3, x4〉 is investigated, and the four-mode realization of the SU(1,1) Lie algebra as well as the corresponding squeezing operators are presented.
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 dis- cuss 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 cu- tangled 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(∑_(i=1)~3 P_i)(∑_(i=1)~3 Q_i)-λ/2}.Using the technique of integration within an ordered product(IWOP)of opera- tors,we derive their normally ordered forms and construct the corresponding squeezed states.