Nonlocality without inequalities has not been proved for maximally entangled states

Details Nonlocality without inequalities has not been proved for maximally entangled states Nonlocality without inequalities has not been proved for maximally entangled states

1999-11-06

arxiv.org/abs/quant-ph/9911023v1

Phys. Rev. A 61 (2000) 022119

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.61.022119

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.

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