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

Communications in Theoretical Physics

Multi-mode Einstein–Podolsky–Rosen Entangled State Representation and Its Applications

Heng-Mei Li, Yuan Hong-Chun

Published Sep 1, 2008• 2 citations
Publisher

Abstract

Our primary purpose of this work is to explicitly construct the general multipartite Einstein–Podolsky–Rosen (EPR) entangled state in multi-mode Fock space for a system with different masses of particles, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its entanglement can be seen more clearly by analyzing its standard Schmidt decomposition. In addition, some applications of the multipartite entanglement are proposed including deriving the generalized Wigner operator and squeezing operator.

DOI
10.1088/0253-6102/50/3/16

Related papers

Multi-mode Coherent-Entangled State Representation and Its Applications

Heng-Mei Li, Yuan Hong-Chun

We introduce the so-called coherent-entangled state (CES) in the four-mode Fock space, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its standard Schmidt decomposition and experimental generation using beam-splitter (BS) are proposed. In addition, its applications in quantum optics are presented. Finally, we extend it to multi-mode case and discuss some applications, too.

Communications in Theoretical Physics•Nov 1, 2008•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

Continuous Multipartite Entangled Representation and Its Wigner Operator and Marginal Distribution

Hong‐Chun Yuan, Heng-Mei Li, Qi Kai-Guo

By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their Schmidt decompositions and give their entangling operators. Furthermore, based on the above analysis we also find the n -mode Wigner operator. In doing so we may identify the physical meaning of the marginal distribution of the Wigner function.

Communications in Theoretical Physics•Dec 1, 2005•3 citations

Continuous Multipartite Entangled Representation and Its Wigner Operator and Marginal Distribution

Yuan, Hong-Chun, LI . +3 more

By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their Schmidt decompositions and give their entangling operators. Furthermore, based on the above analysis we also find the n-mode Wigner operator. In doing so we may identify the physical meaning of the marginal distribution of the Wigner function.

理论物理通讯：英文版•Jan 1, 2005•0 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

New Two-Mode Coherent-Intermediate-Entangled State and Its Squeezing Operator

Shi-Min Xu, Xing-Lei Xu, Hongqi Li

The coherent-intermediate-entangled state |α, x ⟩ λ,ν is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α, x ⟩ λ,ν makes up a new quantum mechanical representation, and the completeness relation of |α, x ⟩ λ,ν is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α, x ⟩ λ,ν and the Schmidt decomposition of |α, x ⟩ λ,ν is investigated.

Communications in Theoretical Physics•Nov 1, 2009•1 citation
Our primary purpose of this work is to explicitly construct the general multipartite Einstein–Podolsky–Rosen (EPR) entangled state in multi-mode Fock space for a system with different masses of particles, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its entanglement can be seen more clearly by analyzing its standard Schmidt decomposition. In addition, some applications of the multipartite entanglement are proposed including deriving the generalized Wigner operator and squeezing operator.
The coherent-intermediate-entangled state |α, x ⟩ λ,ν is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α, x ⟩ λ,ν makes up a new quantum mechanical representation, and the completeness relation of |α, x ⟩ λ,ν is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α, x ⟩ λ,ν and the Schmidt decomposition of |α, x ⟩ λ,ν is investigated.