Nonlocality without inequalities

Physics – Quantum Physics

Scientific paper

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10 pages; Latex; Talk delivered at ICSSUR'05, Besancon, France, 2-6 May 2005; to be published on J. Opt. B (special issue)

Scientific paper

We prove that every conceivable hidden variable model reproducing the quantum mechanical predictions of almost any entangled state must necessarily violate Bell's locality condition. The proof does not involve the consideration of any Bell inequality but it rests on simple set theoretic arguments and it works for almost any noncompletely factorizable state vector associated to any number of particles whose Hilbert spaces have arbitrary dimensionality.

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