Fully nonlocal quantum correlations

Abstract

Quantum mechanics is a nonlocal theory, but not as nonlocal as the no-signalling principle allows. However, there exist quantum correlations that exhibit maximal nonlocality: they are as nonlocal as any non-signalling correlations and thus have a local content, quantified by the fraction $p_L$ of events admitting a local description, equal to zero. Exploiting the link between the Kochen-Specker and Bell's theorems, we derive, from every Kochen-Specker proof, Bell inequalities maximally violated by quantum correlations. We then show that these Bell inequalities lead to experimental bounds on the local content of quantum correlations which are significantly better than those based on other constructions. We perform the experimental demonstration of a Bell test originating from the Peres-Mermin Kochen-Specker proof, providing an upper bound on the local content $p_L\lesssim 0.22$.

9 pages, 5 figures and three tables. To appear in PRA

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Cited by in corpus (49)

• Bell nonlocality
• Kochen-Specker Contextuality
• Simple explanation of the quantum violation of a fundamental inequality
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• Applying the simplest Kochen-Specker set for quantum information processing
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• Experimental fully contextual correlations
• Causal hierarchy of multipartite Bell nonlocality
• Kochen-Specker set with seven contexts
• Necessary and sufficient condition for quantum state-independent contextuality
• Quantum state-independent contextuality requires 13 rays
• Converting contextuality into nonlocality
• Exploring the limits of quantum nonlocality with entangled photons
• Randomness amplification against no-signaling adversaries using two devices
• Proposed experiments of qutrit state-independent contextuality and two-qutrit contextuality-based nonlocality
• Necessary and sufficient conditions for state-independent measurement contextual scenarios
• Minimal true-implies-false and true-implies-true sets of propositions in noncontextual hidden variable theories
• Proof of the Peres conjecture for contextuality
• Chained Bell Inequality Experiment with High-Efficiency Measurements
• Multigraph approach to quantum non-locality
• Quantum Correlations and Quantum Non-locality: a review and a few new ideas
• Device-independent quantum key distribution based on Bell inequalities with more than two inputs and two outputs
• Experimental hierarchy and optimal robustness of quantum correlations of two-qubit states with controllable white noise
• Device-Independent Quantum Key Distribution Based on the Mermin-Peres Magic Square Game
• Parity proofs of the Kochen-Specker theorem based on the Lie algebra E8
• Activation of monogamy in non-locality using local contextuality
• Parity proofs of the Kochen-Specker theorem based on the 120-cell
• Graph-Theoretic Framework for Self-Testing in Bell Scenarios
• Bell non-locality and Kochen-Specker contextuality: How are they connected?
• Certifying sets of quantum observables with any full-rank state
• Equivalence between face nonsignaling correlations, full nonlocality, all-versus-nothing proofs, and pseudotelepathy
• Entanglement Verification of Hyperentangled Photon Pairs
• Experimental Test of Nonlocality Limits from Relativistic Independence
• Simplest bipartite perfect quantum strategies
• Violation of generalized Bell inequality and its optimal measurement settings
• Maximum quantum nonlocality between systems that never interacted
• Quantum nonlocality via local contextuality with qubit-qubit entanglement
• Experimental Quantum Advantage in the Odd-Cycle Game
• Irreducible magic sets for $n$-qubit systems
• The simplest Kochen-Specker set
• Quantum nonlocality in presence of strong measurement dependence
• Two fundamental solutions to the rigid Kochen-Specker set problem and the solution to the minimal Kochen-Specker set problem under one assumption
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• Universal violation of pentagon inequalities in four-state systems
• Analysis of single-particle nonlocality through the prism of weak measurements
• Connecting extended Wigner's friend arguments and noncontextuality
• Optimal conversion of Kochen-Specker sets into bipartite perfect quantum strategies
• Supersinglets can be self-tested with perfect quantum strategies
• The Interplay between Quantum Contextuality and Wigner Negativity