Consequences and applications of the completeness of Hardy's nonlocality

Abstract

Logical nonlocality is completely characterized by Hardy's "paradox" in (2,2,l) and (2,k,2) scenarios. We consider a variety of consequences and applications of this fact. (i) Polynomial algorithms may be given for deciding logical nonlocality in these scenarios. (ii) Bell states are the only entangled two-qubit states which are not logically nonlocal under projective measurements. (iii) It is possible to witness Hardy nonlocality with certainty in a simple tripartite quantum system. (iv) Noncommutativity of observables is necessary and sufficient for enabling logical nonlocality.

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Cited by in corpus (9)

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• Quantum Advantage in Information Retrieval
• On Possibilistic Conditions to Contextuality and Nonlocality
• The Sheaf-Theoretic Structure of Definite Causality
• Closing Bell: Boxing black box simulations in the resource theory of contextuality
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• On the computational complexity of detecting possibilistic locality
• Connecting XOR and XOR* games
• The Interplay between Quantum Contextuality and Wigner Negativity