A simple proof of the converse of Hardy's theorem
Quantum Physics
2007-05-23 v1
Abstract
In this paper we provide a simple proof of the fact that for a system of two spin-1/2 particles, and for a choice of observables, there is a unique state which shows Hardy-type nonlocality. Moreover, an explicit expression for the probability that an ensemble of particle pairs prepared in such a state exhibits a Hardy-type nonlocality contradiction is given in terms of two independent parameters related to the observables involved. Incidentally, a wrong statement expressed in Mermin's proof of the converse [N.D. Mermin, Am. J. Phys. 62, 880 (1994)] is pointed out.
Cite
@article{arxiv.quant-ph/9907094,
title = {A simple proof of the converse of Hardy's theorem},
author = {Jose L. Cereceda},
journal= {arXiv preprint arXiv:quant-ph/9907094},
year = {2007}
}
Comments
LaTeX, 16 pages + 2 eps figures