Simple explanation of the quantum limits of genuine $n$-body nonlocality

Abstract

Quantum $n$-body correlations cannot be explained with $(n-1)$-body nonlocality. However, this genuine $n$-body nonlocality cannot surpass certain bounds. Here we address the problem of identifying the principles responsible for these bounds. We show that, for any $n\ge 2$, the exclusivity principle, as derived from axioms about sharp measurements, and a technical assumption give the exact bounds predicted by quantum theory. This provides a unified explanation of the bounds of single-body contextuality and $n$-body nonlocality, and connects two programs towards understanding quantum theory.

arXiv commentREVTeX4, 5 pages

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Cited by in corpus (22)

• Kochen-Specker Contextuality
• The Inflation Technique for Causal Inference with Latent Variables
• Approaching Tsirelson's bound in a photon pair experiment
• Maximum nonlocality in the (3,2,2) scenario
• Classical Physics and the Bounds of Quantum Correlations
• Contextuality in phase space
• Bridging the gap between general probabilistic theories and the device-independent framework for nonlocality and contextuality
• Quantum correlations from simple assumptions
• Simple explanation of the quantum limits of genuine $n$-body nonlocality
• Quantum theory allows for absolute maximal contextuality
• General Bayesian theories and the emergence of the exclusivity principle
• Testing noncontextuality inequalities that are building blocks of quantum correlations
• Proposed experiment to test fundamentally binary theories
• Almost quantum correlations and their refinements in a tripartite Bell scenario
• Equivalence between face nonsignaling correlations, full nonlocality, all-versus-nothing proofs, and pseudotelepathy
• Measurable criteria of generalized non-locality under the correlation symmetry
• Simplest bipartite perfect quantum strategies
• The problem of quantum correlations and the totalitarian principle
• Quantum correlations with a gap between the sequential and spatial cases
• Optimal conversion of Kochen-Specker sets into bipartite perfect quantum strategies
• The unspeakable why
• Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations