Critical visibility for N-particle Greenberger-Horne-Zeilinger correlations to violate local realism

Physics – Quantum Physics

Scientific paper

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8 pages, LaTex

Scientific paper

A sequence of Bell inequalities for N-particle systems, which involve three settings of each of the local measuring apparatuses, is derived. For Greenberger-Horne-Zeilinger states, quantum mechanics violates these inequalities by factors exponentially growing with N. The threshold visibilities of the multiparticle sinusoidal interference fringes, for which local realistic theories are ruled out, decrease as (2/3)^N.

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