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.

corrected typos and includes some extra comments and explanations contained in published version

References in corpus (4)

• The uncertainty principle determines the non-locality of quantum mechanics
• Almost quantum correlations
• Recovering part of the quantum boundary from information causality
• A classification of multipartite states by degree of non-locality

Cited by in corpus (1)

• The Interplay between Quantum Contextuality and Wigner Negativity