Nonlocality without inequalities has not been proved for maximally entangled states

Abstract

Two approaches to extend Hardy's proof of nonlocality without inequalities to maximally entangled states of bipartite two-level systems are shown to fail. On one hand, it is shown that Wu and co-workers' proof [Phys. Rev. A 53, R1927 (1996)] uses an effective state which is not maximally entangled. On the other hand, it is demonstrated that Hardy's proof cannot be generalized by the replacement of one of the four von Neumann measurements involved in the original proof by a generalized measurement to unambiguously discriminate between non-orthogonal states.

7 pages, 2 figures. To appear in Phys. Rev. A

Cited by in corpus (6)

• Bell's theorem without inequalities and without probabilities for two observers
• Increased success probability in Hardy's nonlocality: Theory and demonstration
• Consequences and applications of the completeness of Hardy's nonlocality
• Local randomness in Hardy's correlations: Implications from information causality principle
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
• Hardy-type experiment for the maximally entangled state: Illustrating the problem of subensemble postselection