Tripartite quantum state violating the hidden influence constraints

Abstract

The possibility to explain quantum correlations via (possibly) unknown causal influences propagating gradually and continuously at a finite speed v > c has attracted a lot of attention recently. In particular, it could be shown that this assumption leads to correlations that can be exploited for superluminal communication. This was achieved studying the set of possible correlations that are allowed within such a model and comparing them to correlations produced by local measurements on a four-party entangled quantum state. Here, we report on a quantum state that allows for the same conclusion involving only three parties.

7 pages, essentially published version, updated acknowledgments

References in corpus (5)

• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Bounding the set of quantum correlations
• Testing spooky action at a distance
• Bounding the speed of `spooky action at a distance'
• A lower bound for the velocity of quantum communications in the preferred frame

Cited by in corpus (26)

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• Why Bohmian Mechanics? one and two-time position measurements, Bell inequalities, philosophy and physics
• Non-Locality Without Counterfactual Reasoning
• Non-Locality of Experimental Qutrit Pairs
• Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing
• Multipartite Nonlocality as a Resource and Quantum Correlations Having Indefinite Causal Order
• Self-testing using only marginal information
• Maximal Violation of a Broad Class of Bell Inequalities and Its Implications on Self-Testing
• Naturally restricted subsets of nonsignaling correlations: typicality and convergence
• Causality - Complexity - Consistency: Can Space-Time Be Based on Logic and Computation?
• An improved lower bound for superluminal quantum communications
• Resource Marginal Problems
• Extending quantum mechanics entails extending special relativity
• Bell's Theorem, Accountability and Nonlocality
• Optimal measurements for nonlocal correlations
• The Möbius game and other Bell tests for relativity
• Bell Correlations and the Common Future
• Relativistic Causality vs. No-Signaling as the limiting paradigm for correlations in physical theories
• Measurements of entanglement over a kilometric distance to test superluminal models of Quantum Mechanics: preliminary results
• Minimal scenario facet Bell inequalities for multi-qubit states
• Nonlocality of Quantum States can be Transitive
• Monogamy relations for relativistically causal correlations