Quantum correlations from simple assumptions

Abstract

We address the problem of deriving the set of quantum correlations for every Bell and Kochen-Specker (KS) contextuality scenario from simple assumptions. We show that the correlations that are possible according to quantum theory are equal to those possible under the assumptions that there is a nonempty set of correlations for every KS scenario and a statistically independent realization of any two KS experiments. The proof uses tools of the graph-theoretic approach to correlations and deals with Bell nonlocality and KS contextuality in a unified way.

15 pages, 7 figures

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Cited by in corpus (23)

• Kochen-Specker Contextuality
• Law without law: from observer states to physics via algorithmic information theory
• Converting contextuality into nonlocality
• Significant-loophole-free test of Kochen-Specker contextuality using two species of atomic-ions
• General Bayesian theories and the emergence of the exclusivity principle
• Deriving Born's rule from an Inference to the Best Explanation
• Graph-Theoretic Framework for Self-Testing in Bell Scenarios
• Bell non-locality and Kochen-Specker contextuality: How are they connected?
• Equivalence between face nonsignaling correlations, full nonlocality, all-versus-nothing proofs, and pseudotelepathy
• The principle of information symmetry constrains the state-space in any physical theory
• Hypergraph Contextuality
• Simplest bipartite perfect quantum strategies
• Could the physical world be emergent instead of fundamental, and why should we ask? (short version)
• Putting probabilities first. How Hilbert space generates and constrains them
• Violating the KCBS inequality with a toy mechanism
• Lifting noncontextuality inequalities
• Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
• Bosonic Indistinguishability-Dependent Contextuality
• The quantum maxima for the basic graphs of exclusivity are not reachable in Bell scenarios
• Quantum correlations cannot be reproduced with a finite number of measurements in any no-signaling theory
• Optimal conversion of Kochen-Specker sets into bipartite perfect quantum strategies
• Bell nonlocality with intensity information only
• Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations