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It is well known that quantum mechanics is incompatible with local realistic theories. Svetlichny showed, through the development of a Bell-like inequality, that quantum mechanics is also incompatible with a restricted class of nonlocal realistic theories for three particles where any two-body nonlocal correlations are allowed [Phys. Rev. D 35, 3066 (1987)]. In the present work, we experimentally generate three-photon GHZ states to test Svetlichny's inequality. Our states are fully characterized by quantum state tomography using an overcomplete set of measurements and have a fidelity of (84+/-1)% with the target state. We measure a convincing, 3.6 std., violation of Svetlichny's inequality and rule out this class of restricted nonlocal realistic models.
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Lavoie et al. (2009) studied this question.
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