Hardy's Paradox for High-Dimensional Systems: Beyond Hardy's Limit

Abstract

Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii) is always equivalent to the violation of a tight Bell inequality.

REVTeX4, 5 pages, 1 figure. Typo in Eq. (17) corrected. Ref. [5] completed