Continuous variable tripartite entanglement and Einstein-Podolsky-Rosen correlations from triple nonlinearities

Abstract

We compare theoretically the tripartite entanglement available from the use of three concurrent ${\chi }^{(2)}$ nonlinearities and three independent squeezed states mixed on beamsplitters, using the van Loock-Furusawa inequalities. We also define three-mode generalisations of the Einstein-Podolsky-Rosen paradox which are an alternative for demonstrating the inseparability of the density matrix.

23 pages 12 figures

References in corpus (11)

• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Detecting genuine multipartite continuous-variable entanglement
• Experimental demonstration of tripartite entanglement and controlled dense coding for continuous variables
• Inseparability criteria for bipartite quantum states
• Experimental verification of a fully inseparable tripartite continuous-variable state
• Separability Properties of Three-mode Gaussian States
• Three-mode entanglement by interlinked nonlinear interactions in optical ${\chi }^{(2)}$ media
• Multipartite continuous-variable entanglement from concurrent nonlinearities
• Bright tripartite entanglement in triply concurrent parametric oscillation
• Observation of triply coincident nonlinearities in periodically poled KTiOPO4

Cited by in corpus (18)

• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Genuine multipartite Einstein-Podolsky-Rosen steering
• Unified criteria for multipartite quantum nonlocality
• Monogamy inequalities for the EPR paradox and quantum steering
• Criteria for genuine N-partite continuous variable entanglement and Einstein-Podolsky_Rosen steering
• Asymmetric Gaussian harmonic steering in second harmonic generation
• Tripartite entanglement from interlinked ${\chi }^{(2)}$ parametric interactions
• Tripartite entanglement and threshold properties of coupled intracavity downconversion and sum-frequency generation
• Quadripartite continuous-variable entanglement via quadruply concurrent downconversion
• Quantum correlations across two octaves from combined up and down conversion
• Bright continuous-variable entanglement from the quantum optical dimer
• Tripartite correlations over two octaves from cascaded harmonic generation
• Tripartite and bipartite entanglement in continuous-variable tripartite systems
• Quantum many-body simulations using Gaussian phase-space representations
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• The versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob