Entropic nonsignaling correlations

Abstract

We introduce the concept of entropic nonsignaling correlations, i.e., entropies arising from probabilistic theories that are compatible with the fact that we cannot transmit information instantaneously. We characterize and show the relevance of these entropic correlations in a variety of different scenarios, ranging from typical Bell experiments to more refined descriptions such as bilocality and information causality. In particular, we apply the framework to derive the first entropic inequality testing genuine tripartite nonlocality in quantum systems of arbitrary dimension and also prove the first known monogamy relation for entropic Bell inequalities. Further, within the context of complex Bell networks, we show that entropic nonlocal correlations can be activated.

14 pages (including appendix), 2 figures, final version

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Cited by in corpus (17)

• Bell nonlocality in networks
• The Inflation Technique for Causal Inference with Latent Variables
• Constraints on nonlocality in networks from no-signaling and independence
• Bell scenarios with communication
• Analysing causal structures with entropy
• Non-Shannon inequalities in the entropy vector approach to causal structures
• The entropic approach to causal correlations
• Semidefinite tests for latent causal structures
• Indistinguishability of causal relations from limited marginals
• Uncertainty-Reality Complementarity and Entropic Uncertainty Relations
• Analysing causal structures in generalised probabilistic theories
• Inability of the entropy vector method to certify nonclassicality in linelike causal structures
• Computational tools for solving a marginal problem with applications in Bell non-locality and causal modeling
• Entropic No-Disturbance as a Physical Principle
• Quantum Causal Structure and Quantum Thermodynamics
• Local models and Bell inequalities for the minimal triangle network
• Monogamy relations for relativistically causal correlations