Nonlocality without inequalities for almost all entangled states of any quantum system

Abstract

It is shown that it is possible to rule out all local and stochastic hidden variable models accounting for the quantum mechanical predictions implied by almost any entangled quantum state vector of any number of particles whose Hilbert spaces have arbitrary dimensions, without resorting to Bell-type inequalities. The present proof makes use of the mathematically precise notion of Bell locality and it involves only simple set theoretic arguments.

arXiv comment5 pages, RevTeX, to be published on Physical Review A

References in corpus (1)

• Bell's theorem without inequalities and without probabilities for two observers

Cited by in corpus (4)

• Hardy's Test versus the CHSH Test of Quantum Non-Locality: Fundamental and Practical Aspects
• Hardy's criterion of nonlocality for mixed states
• Hardy's proof of nonlocality in the presence of noise
• Greenberger-Horne-Zeilinger argument of nonlocality without inequalities for mixed states