Entanglement criteria and nonlocality for multi-mode continuous variable systems

Abstract

We demonstrate how to efficiently derive a broad class of inequalities for entanglement detection in multi-mode continuous variable systems. The separability conditions are established from partial transposition (PT) in combination with several distinct necessary conditions for a quantum physical state, which include previously established inequalities as special cases. Remarkably, our method enables us to support Peres' conjecture to its full generality within the framework of Cavalcanti-Foster-Reid-Drummond multipartite Bell inequality [Phys. Rev. Lett. 99}, 210405 (2007)] that the nonlocality necessarily implies negative PT entangled states.

4 pages, published

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• Uncertainty Relations for coarse-grained measurements: an overview
• Loophole-free Bell test for continuous variables via wave and particle correlations
• Hierarchies of multipartite entanglement for continuous-variable states
• Photonic families of non-Gaussian entangled states and entanglement criteria for continuous-variable systems
• Bell violation for unknown continuous-variable states
• Entropic Uncertainty Relations via Direct-Sum Majorization Relation for Generalized Measurements
• Inseparability Criterion Using Higher-Order Schrödinger-Robertson Uncertainty Relation
• Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario