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.

REVTeX4, 5 pages

References in corpus (8)

• Almost quantum correlations
• Direct generation of three-photon polarization entanglement
• Simple explanation of the quantum violation of a fundamental inequality
• Experimental violation of Svetlichny's inequality
• Higher-order interference and single-system postulates characterizing quantum theory
• Simple explanation of the quantum limits of genuine $n$-body nonlocality
• Multigraph approach to quantum non-locality
• Exclusivity principle and the quantum bound of the Bell inequality

Cited by in corpus (11)

• Kochen-Specker Contextuality
• Maximum nonlocality in the (3,2,2) scenario
• Contextuality in phase space
• Simple explanation of the quantum limits of genuine $n$-body nonlocality
• Equivalence between face nonsignaling correlations, full nonlocality, all-versus-nothing proofs, and pseudotelepathy
• Simplest bipartite perfect quantum strategies
• Quantum correlations with a gap between the sequential and spatial cases
• The problem of quantum correlations and the totalitarian principle
• 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