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All-Versus-Nothing Violation of Local Realism for Two Entangled Photons

All-Versus-Nothing Violation of Local Realism for Two Entangled Photons

It is shown that the Greenberger-Horne-Zeilinger theorem can be generalized to the case with only two entangled particles. The reasoning makes use of two photons which are maximally entangled both in polarization and in spatial degrees of freedom. In contrast to Cabello's argument of ``all versus nothing'' nonlocality with four …