Ruling out Bipartite Nonsignaling Nonlocal Models for Tripartite Correlations

• URL: http://arxiv.org/abs/2012.11132v2
• Date: Fri, 16 Jul 2021 16:57:03 GMT
• Title: Ruling out Bipartite Nonsignaling Nonlocal Models for Tripartite Correlations
• Authors: Peter Bierhorst
• Abstract summary: Quantum mechanics predicts three-party correlations that admit no such simulation. We show how to use the framework to derive Bell-inequality-type constraints on these correlations that can be robustly violated by tripartite quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Many three-party correlations, including some that are commonly described as genuinely tripartite nonlocal, can be simulated by a network of underlying subsystems that display only bipartite nonsignaling nonlocal behavior. Quantum mechanics predicts three-party correlations that admit no such simulation, suggesting there are versions of nonlocality in nature transcending the phenomenon of bipartite nonsignaling nonlocality. This paper introduces a rigorous framework for analyzing tripartite correlations that can be simulated by bipartite-only networks. We confirm that expected properties of so-obtained correlations, such as no-signaling, indeed hold, and show how to use the framework to derive Bell-inequality-type constraints on these correlations that can be robustly violated by tripartite quantum systems. In particular, we use this framework to rederive a version of one such constraint previously described in a paper of Chao and Reichardt (arXiv:1706.02008).

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