Information Causality and Extremal Tripartite Correlations

Abstract

We study the principle of information causality for the set of extremal correlations in the tripartite scenario. We show that all but one nonlocal extremal correlations in this scenario violate information causality. This undetected correlation is shown to satisfy any bipartite physical principle.

8 pages, 2 figures. Minor corrections and improvement to the proof in appendix

References in corpus (6)

• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Bounding the set of quantum correlations
• Recovering part of the quantum boundary from information causality
• Extremal correlations of the tripartite no-signaling polytope
• Macroscopically local correlations can violate information causality
• Quantum Bell Inequalities from Macroscopic Locality

Cited by in corpus (24)

• Bell nonlocality
• Local orthogonality as a multipartite principle for quantum correlations
• Polyhedral duality in Bell scenarios with two binary observables
• Exploring the Local Orthogonality Principle
• Maximum nonlocality in the (3,2,2) scenario
• Simple explanation of the quantum limits of genuine $n$-body nonlocality
• Hardy's nonlocality argument as witness for post-quantum correlation
• Exclusivity principle and the quantum bound of the Bell inequality
• No quantum realization of extremal no-signaling boxes
• Quantum information causality
• Information Causality in the Quantum and Post-Quantum Regime
• Cryptographic Quantum Bound on Nonlocality
• Multi-User Non-Locality Amplification
• Structure of quantum and broadcasting nonlocal correlations
• Information causality in multipartite scenarios
• Macroscopic locality with equal bias reproduces with high fidelity a quantum distribution achieving the Tsirelson's bound
• Classification of no-signaling correlations and the guess your neighbor's input game
• Maximum tri-partite Hardy's nonlocality respecting all bi-partite principles
• Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario
• The unspeakable why
• Violation of Svetlichny's inequality in a system of spins $j$
• Security of device-independent quantum key distribution via monogamy relations from multipartite information causality
• Information causality beyond the random access code model
• Bounds on Multipartite Nonlocality via Reduction to Biased Nonlocality