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

Generation of multipartite spin entanglement from multimode squeezed states

Niranjan Sridhar, Olivier Pfister

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We investigate the use of the Schwinger representation for casting multimode squeezed states into multipartite spin entangled states. While the generalization is not straightforward, we can still find highly entangled multipartite states. <!--EndFragment-->
DOI
10.1364/cleo_qels.2015.ftu1a.3

Related papers

Generation of multipartite spin entanglement from multimode squeezed states

Niranjan Sridhar, Olivier Pfister

We investigate the systematic use of the Schwinger representation, by virtue of which two boson fields are equivalent to an effective spin, for casting multimode squeezed states into multipartite spin entangled states. The motivation for this endeavor is the following established fact: finitely squeezed, two-mode entangled states can be recast into maximally entangled bipartite spin states, irrespective of their level of squeezing (in the lossless case). This work explores the generalization of this interesting property to multipartite entanglement. While we found that the generalization of multipartite Gaussian entanglement to multipartite spin entanglement is not straightforward, there are nonetheless interesting features and entangled states to be found. Here we study a few continuous-variable entangled states already realized experimentally, and show that some of them correspond to multipartite spin entangled states.

arXiv:1310.5119•Physical Review A•Jan 13, 2014•3 citations

Multipartite entangled state representation and squeezing of then-pair entangled state

Junhua Chen, Hong-Yi Fan, Gang Ren

We show that the best way to study the relationship between quantum entanglement and quantum squeezing for the multimode case is through constructing the new n -pair entangled state representation . The explicit form of the 2 n -mode squeezing operator which squeezes the n -pair entangled state can be directly derived via the transition from to where M is an n × n complex matrix, and the technique of integration within an ordered product of operators. We also analyze the squeezing properties of the 2 n -mode squeezed state for M being Hermitian, and obtain the variances of the 2 n -mode quadrature operators in the 2 n -mode squeezed vacuum state with a concise result; the condition for reaching the minimum of the uncertainty relationship is also investigated.

Journal of Physics A Mathematical and Theoretical•May 26, 2010•3 citations

Multipartite spin coherent states and spinor states

Tim Byrnes

Multipartite generalizations of spin coherent states are introduced and analyzed. These are the spin analogs of multimode optical coherent states as used in continuous variable quantum information, but generalized to possess full spin symmetry. Two possible generalizations are given, one of which is a simple tensor product of a given multipartite quantum state. The second generalization uses the bosonic formulation in the Jordan-Schwinger map, which we call spinor states. In the unipartite case, spinor states are equivalent to spin coherent states; however, in the multipartite case, they are no longer equivalent. Some fundamental properties of these states are discussed, such as their observables and covariances with respect to symmetric operators, form-preserving transformations, and entanglement. We discuss the utility of such multipartite spin coherent and spinor states as a way of storing quantum information.

arXiv:2307.00875•Physical Review A•Feb 27, 2024•7 citations

Relating spin squeezing to multipartite entanglement criteria for particles and modes

Matteo Fadel, Manuel Gessner

Entanglement witnesses based on first and second moments exist in the form of spin squeezing criteria for the detection of particle entanglement from collective measurements, and in the form of modified uncertainty relations for the detection of mode entanglement or steering. By revealing a correspondence between them, we show that metrologically useful spin squeezing reveals multimode entanglement in symmetric spin states that are distributed into addressable modes. We further derive tight state-independent multipartite entanglement bounds on the spin squeezing coefficient and point out their connection to widely used entanglement criteria that depend on the state's polarization. Our results are relevant for state-of-the-art experiments where symmetric entangled states are distributed into a number of addressable modes, such as split spin squeezed Bose-Einstein condensates.

arXiv:2004.01591•Physical Review A•Jul 10, 2020•21 citations

Preparation of entangled squeezed states and quantification of their entanglement

Cai Xinhua, Kuang Le-Man

We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-Cummings model with large detuning. Bipartite entanglement of these entangled states is quantified by the concurrence. We also use the N -tangle to compute multipartite entanglement of these multipartite entangled squeezed states. Finally we discuss two limiting cases which arise from r →∞ and r →0, in which the multipartite entangled squeezed state reduces correspondingly into an N -qubit Greenberger-Horne-Zeilinger state and an N -qubit W state.

Chinese Physics•Aug 22, 2002•21 citations

Preparation of entangled squeezed states and quantification of their entanglement

蔡新华, 匡乐满

We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-cummings model with large detuning.Bipartite entanglement of these entangled states is quantified by the concurrence.We also use the N-tangle to compupter multipartite entanglement of these multipartites entangled squeezed states.Finally we discuss two limiting cases which arise from r→∞and r→0,in which the multipartite entangled squeezed state reduces correspondingly into an N-qubit Greenberger-Horne-Zeilinger state and an N-qubit W state.

中国物理B：英文版•Jun 12, 2005•0 citations
We investigate the systematic use of the Schwinger representation, by virtue of which two boson fields are equivalent to an effective spin, for casting multimode squeezed states into multipartite spin entangled states. The motivation for this endeavor is the following established fact: finitely squeezed, two-mode entangled states can be recast into maximally entangled bipartite spin states, irrespective of their level of squeezing (in the lossless case). This work explores the generalization of this interesting property to multipartite entanglement. While we found that the generalization of multipartite Gaussian entanglement to multipartite spin entanglement is not straightforward, there are nonetheless interesting features and entangled states to be found. Here we study a few continuous-variable entangled states already realized experimentally, and show that some of them correspond to multipartite spin entangled states.
We show that the best way to study the relationship between quantum entanglement and quantum squeezing for the multimode case is through constructing the new n -pair entangled state representation . The explicit form of the 2 n -mode squeezing operator which squeezes the n -pair entangled state can be directly derived via the transition from to where M is an n × n complex matrix, and the technique of integration within an ordered product of operators. We also analyze the squeezing properties of the 2 n -mode squeezed state for M being Hermitian, and obtain the variances of the 2 n -mode quadrature operators in the 2 n -mode squeezed vacuum state with a concise result; the condition for reaching the minimum of the uncertainty relationship is also investigated.
Multipartite generalizations of spin coherent states are introduced and analyzed. These are the spin analogs of multimode optical coherent states as used in continuous variable quantum information, but generalized to possess full spin symmetry. Two possible generalizations are given, one of which is a simple tensor product of a given multipartite quantum state. The second generalization uses the bosonic formulation in the Jordan-Schwinger map, which we call spinor states. In the unipartite case, spinor states are equivalent to spin coherent states; however, in the multipartite case, they are no longer equivalent. Some fundamental properties of these states are discussed, such as their observables and covariances with respect to symmetric operators, form-preserving transformations, and entanglement. We discuss the utility of such multipartite spin coherent and spinor states as a way of storing quantum information.
Entanglement witnesses based on first and second moments exist in the form of spin squeezing criteria for the detection of particle entanglement from collective measurements, and in the form of modified uncertainty relations for the detection of mode entanglement or steering. By revealing a correspondence between them, we show that metrologically useful spin squeezing reveals multimode entanglement in symmetric spin states that are distributed into addressable modes. We further derive tight state-independent multipartite entanglement bounds on the spin squeezing coefficient and point out their connection to widely used entanglement criteria that depend on the state's polarization. Our results are relevant for state-of-the-art experiments where symmetric entangled states are distributed into a number of addressable modes, such as split spin squeezed Bose-Einstein condensates.
We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-Cummings model with large detuning. Bipartite entanglement of these entangled states is quantified by the concurrence. We also use the N -tangle to compute multipartite entanglement of these multipartite entangled squeezed states. Finally we discuss two limiting cases which arise from r →∞ and r →0, in which the multipartite entangled squeezed state reduces correspondingly into an N -qubit Greenberger-Horne-Zeilinger state and an N -qubit W state.
We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-cummings model with large detuning.Bipartite entanglement of these entangled states is quantified by the concurrence.We also use the N-tangle to compupter multipartite entanglement of these multipartites entangled squeezed states.Finally we discuss two limiting cases which arise from r→∞and r→0,in which the multipartite entangled squeezed state reduces correspondingly into an N-qubit Greenberger-Horne-Zeilinger state and an N-qubit W state.