Recovering part of the quantum boundary from information causality

Abstract

Recently, the principle of information causality has appeared as a good candidate for an information-theoretic principle that would single out quantum correlations among more general non-signalling models. Here we present results going in this direction; namely we show that part of the boundary of quantum correlations actually emerges from information causality.

4 pages, 3 figures. Revised version, minor changes, references added

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Cited by in corpus (56)

• Bell nonlocality
• The uncertainty principle determines the non-locality of quantum mechanics
• Specker's Parable of the Over-protective Seer: A Road to Contextuality, Nonlocality and Complementarity (PLUS AN ERRATUM)
• A glance beyond the quantum model
• Local orthogonality as a multipartite principle for quantum correlations
• Almost quantum correlations
• Guess your neighbour's input: a multipartite non-local game with no quantum advantage
• Information-Theoretic Implications of Quantum Causal Structures
• Geometry of the set of quantum correlations
• Generalized Probability Theories: What determines the structure of quantum theory?
• Quantum correlations require multipartite information principles
• Limits on non-local correlations from the structure of the local state space
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Closed sets of non-local correlations
• Macroscopically local correlations can violate information causality
• The exclusivity principle forbids sets of correlations larger than the quantum set
• Information causality from an entropic and a probabilistic perspective
• Exploring the limits of quantum nonlocality with entangled photons
• No-signaling Principle Can Determine Optimal Quantum State Discrimination
• Optimal Protocols for Nonlocality Distillation
• Information Causality and Extremal Tripartite Correlations
• Simulating all non-signalling correlations via classical or quantum theory with negative probabilities
• Dimension of physical systems, information processing, and thermodynamics
• A necessary condition for incompatibility of observables in general probabilistic theories
• Tsirelson's bound from a Generalised Data Processing Inequality
• Bound on Hardy's non-locality from the principle of Information Causality
• Geometry of the quantum set on no-signaling faces
• Information-theoretic constraints on correlations with indefinite causal order
• New Quantum Bounds for Inequalities involving Marginal Expectations
• Designing Bell inequalities from a Tsirelson bound
• Consequences and applications of the completeness of Hardy's nonlocality
• Information Causality without concatenation
• Quantum information causality
• Necessary and sufficient criterion for extremal quantum correlations in the simplest Bell scenario
• Popescu-Rohrlich correlations imply efficient instantaneous nonlocal quantum computation
• Information Causality in the Quantum and Post-Quantum Regime
• A Survey of Physical Principles Attempting to Define Quantum Mechanics
• Local randomness in Hardy's correlations: Implications from information causality principle
• Cryptographic Quantum Bound on Nonlocality
• The Exclusivity Principle and the Set of Quantum Correlations
• Multi-User Non-Locality Amplification
• Quantum Nonlocal Boxes Exhibit Stronger Distillability
• Information causality in multipartite scenarios
• Tsirelson's Bound Prohibits Communication Through a Disconnected Channel
• Macroscopic locality with equal bias reproduces with high fidelity a quantum distribution achieving the Tsirelson's bound
• No Disturbance Without Uncertainty as a Physical Principle
• Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
• Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario
• Maximum tri-partite Hardy's nonlocality respecting all bi-partite principles
• Remarks on the tensor product structure of no-signaling theories
• The relativistic reason for quantum probability amplitudes
• Non-Locality Distillation is Impossible for Isotropic Quantum Systems
• Security of device-independent quantum key distribution via monogamy relations from multipartite information causality
• Information causality beyond the random access code model
• Chained Clauser-Horne-Shimony-Holt inequality for Hardy's ladder test of nonlocality
• Nonlocality distillation can outperform entanglement distillation