Probabilistic models on contextuality scenarios

Abstract

We introduce a framework to describe probabilistic models in Bell experiments, and more generally in contextuality scenarios. Such a scenario is a hypergraph whose vertices represent elementary events and hyperedges correspond to measurements. A probabilistic model on such a scenario associates to each event a probability, in such a way that events in a given measurement have a total probability equal to one. We discuss the advantages of this framework, like the unification of the notions of contexuality and nonlocality, and give a short overview of results obtained elsewhere.

In Proceedings QPL 2013, arXiv:1412.7917

References in corpus (7)

• Bounding the set of quantum correlations
• Local orthogonality as a multipartite principle for quantum correlations
• Simple explanation of the quantum violation of a fundamental inequality
• (Non-)Contextuality of Physical Theories as an Axiom
• Quantum Correlations are Tightly Bound by the Exclusivity Principle
• Implausible Consequences of Superstrong Nonlocality
• Quantum contextuality from a simple principle?

Cited by in corpus (5)

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• A Logical Proof of Quantum Correlations Requiring Entanglement Measurements
• Experimental Approach to Demonstrating Contextuality for Qudits
• A hierarchy of semidefinite programs for generalised Einstein-Podolsky-Rosen scenarios