Exclusivity principle and the quantum bound of the Bell inequality

Abstract

We show that, for general probabilistic theories admitting sharp measurements, the exclusivity principle together with two assumptions exactly singles out the Tsirelson bound of the Clauser-Horne-Shimony-Holt Bell inequality.

arXiv commentREVTeX4, 4 pages, 1 figure

References in corpus (14)

• Information Causality as a Physical Principle
• Graph-Theoretic Approach to Quantum Correlations
• 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
• Simple explanation of the quantum violation of a fundamental inequality
• Quantum correlations require multipartite information principles
• Quantum Correlations are Tightly Bound by the Exclusivity Principle
• The exclusivity principle forbids sets of correlations larger than the quantum set
• Basic exclusivity graphs in quantum correlations
• Exploring the Local Orthogonality Principle
• Information Causality and Extremal Tripartite Correlations
• Multigraph approach to quantum non-locality
• Sequences of projective measurements in generalized probabilistic models

Cited by in corpus (15)

• Necessary and sufficient condition for quantum state-independent contextuality
• Bridging the gap between general probabilistic theories and the device-independent framework for nonlocality and contextuality
• Bounding quantum contextuality with lack of third-order intereference
• Limited preparation contextuality in quantum theory and its relation to the Cirel'son bound
• Simple explanation of the quantum limits of genuine $n$-body nonlocality
• Quantum theory allows for absolute maximal contextuality
• Quantum information as a non-Kolmogorovian generalization of Shannon's theory
• Almost Quantum Correlations are Inconsistent with Specker's Principle
• A Survey of Physical Principles Attempting to Define Quantum Mechanics
• No nonlocal advantage of quantum coherence beyond quantum instrumentality
• A Logical Proof of Quantum Correlations Requiring Entanglement Measurements
• No Disturbance Without Uncertainty as a Physical Principle
• Exclusivity principle and unphysicality of Garg-Mermin correlation
• The unspeakable why
• Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations