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

New Tripartite Nonlinear Entangled State Representation in Quantum Mechanics

MAI-HUA KUANG, Ma Shan-Jun, Dongmei Liu

Published Oct 1, 2008• 0 citations
Publisher

Abstract

Based on the technique of integral within an ordered product of nonlinear bosonic operators, we construct a new kind of tripartite nonlinear entangled state |α,γ⟩ λ in 3-mode Fock space, which can make up a complete set. We also simply discuss its properties and application.
DOI
10.1088/0253-6102/50/4/15

Related papers

Tripartite Nonlinear Entangled State Representations in Quantum Mechanics

Fan, Hong-Yi, LI . +1 more

Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator.

理论物理通讯:英文版•Jan 1, 2006•0 citations

Tripartite Nonlinear Entangled State Representations in Quantum Mechanics

Fan Hong‐Yi, Chao Li

Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator.

Communications in Theoretical Physics•Jul 1, 2006•1 citation

A Kind of Three-Mode Entangled States of Continuum Variables Generated by Beam Splitter and Parametric Down-Conversion Amplifier

Nian-Quan Jiang, Fan Hong‐Yi

In 3-mode Fock space we find a new tripartite entangled state |α,γλ, which make up a new quantum mechanical representation. The state |α,γλ can be generated by using the setup composing of a beam splitter and a parametric down-conversion amplifier. Application of the state is briefly discussed.

Communications in Theoretical Physics•Feb 1, 2005•5 citations

New tripartite entangled state generated by an asymmetric beam splitter and a parametric down-conversion amplifier

Liyun Hu, Hong-Yi Fan

In three-mode Fock space we construct a new tripartite entangled state |α, γ⟩ θλ which makes up a new quantum mechanical representation. The state |α, γ⟩ θλ can be generated by using the set-up composed of an asymmetric beam splitter and a parametric down-conversion amplifier. We then show how to use |α, γ⟩ θλ to find new squeezing operator and new squeezed state.

Journal of Physics A Mathematical and General•Oct 24, 2006•10 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

A KIND OF NONLINEAR COHERENT-ENTANGLED STATE AND SQUEEZING PROPERTY

Dongmei Liu, Ma Shan-Jun, MAI-HUA KUANG

Based on the technique of integration within an ordered product of nonlinear Bose operators, a new kind of nonlinear coherent entangled state, which exhibits both the property of coherent state and quantum entanglement, is constructed and its application in squeezing is discussed.

Modern Physics Letters B•Jul 10, 2008•2 citations
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.