Quantum correlations require multipartite information principles

Abstract

Identifying which correlations among distant observers are possible within our current description of Nature, based on quantum mechanics, is a fundamental problem in Physics. Recently, information concepts have been proposed as the key ingredient to characterize the set of quantum correlations. Novel information principles, such as, information causality or non-trivial communication complexity, have been introduced in this context and successfully applied to some concrete scenarios. We show in this work a fundamental limitation of this approach: no principle based on bipartite information concepts is able to single out the set of quantum correlations for an arbitrary number of parties. Our results reflect the intricate structure of quantum correlations and imply that new and intrinsically multipartite information concepts are needed for their full understanding.

Appendix added

References in corpus (9)

• Information Causality as a Physical Principle
• Characterizing quantum theory in terms of information-theoretic constraints
• Guess your neighbour's input: a multipartite non-local game with no quantum advantage
• Non-locality distillation and post-quantum theories with trivial communication complexity
• Recovering part of the quantum boundary from information causality
• Extremal correlations of the tripartite no-signaling polytope
• Closed sets of non-local correlations
• Macroscopically local correlations can violate information causality
• Bound on Hardy's non-locality from the principle of Information Causality

Cited by in corpus (51)

• Bell nonlocality
• Local orthogonality as a multipartite principle for quantum correlations
• Almost quantum correlations
• An operational framework for nonlocality
• Simple explanation of the quantum violation of a fundamental inequality
• Incompatible measurements in quantum information science
• Quantum Correlations are Tightly Bound by the Exclusivity Principle
• The exclusivity principle forbids sets of correlations larger than the quantum set
• Maximally nonlocal theories cannot be maximally random
• Nonlocality in sequential correlation scenarios
• Exploring the Local Orthogonality Principle
• Maximum nonlocality in the (3,2,2) scenario
• Closed sets of correlations: answers from the zoo
• Entropic nonsignaling correlations
• Relativistic independence bounds nonlocality
• Hardy's nonlocality argument as witness for post-quantum correlation
• Exclusivity principle and the quantum bound of the Bell inequality
• Designing Bell inequalities from a Tsirelson bound
• Necessary Conditions for Extended Noncontextuality in General Sets of Random Variables
• Are Hidden-Variable Theories for Pilot-Wave Systems Possible ?
• Bell monogamy relations in arbitrary qubit networks
• Quantum information causality
• Observers of quantum systems cannot agree to disagree
• Nonlocality Distillation and Quantum Voids
• Certificates of quantum many-body properties assisted by machine learning
• Revealing Hidden Genuine Tripartite Nonlocality
• Multipartite quantum cryptography based on the violation of Svetlichny's inequality
• Information Causality in the Quantum and Post-Quantum Regime
• Probabilistic models on contextuality scenarios
• Local Orthogonality provides better upper bound for Hardy's nonlocality
• The chain rule implies Tsirelson's bound: an approach from generalized mutual information
• Cryptographic Quantum Bound on Nonlocality
• Continuous-variable supraquantum nonlocality
• The Exclusivity Principle and the Set of Quantum Correlations
• Multi-User Non-Locality Amplification
• Connection between Measurement Disturbance Relation and Multipartite Quantum Correlation
• Structure of quantum and broadcasting nonlocal correlations
• Information causality in multipartite scenarios
• Cumulative measure of correlation for multipartite quantum states
• Classification of no-signaling correlations and the guess your neighbor's input game
• Trading Permutation Invariance for Communication in Multi-Party Non-Locality Distillation
• Exposure of subtle multipartite quantum nonlocality
• Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario
• Maximum tri-partite Hardy's nonlocality respecting all bi-partite principles
• Quantum advantage for distributed computing without communication
• Impact of imperfect measurements on multi-party quantum key distribution
• Information causality beyond the random access code model
• Bounds on Multipartite Nonlocality via Reduction to Biased Nonlocality
• Security of device-independent quantum key distribution via monogamy relations from multipartite information causality
• Universal Bell Correlations Do Not Exist
• Violation of Svetlichny's inequality in a system of spins $j$