Nonlocality without inequalities has not been proved for maximally entangled states
Quantum Physics
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/9911023,
title = {Nonlocality without inequalities has not been proved for maximally entangled states},
author = {Adan Cabello},
journal= {arXiv preprint arXiv:quant-ph/9911023},
year = {2009}
}
Comments
7 pages, 2 figures. To appear in Phys. Rev. A