Abstract
We consider an entangled two-particle state that is produced from two independent downconversion laser sources by the process of ``entanglement swapping,'' so that the particles have never met. We prove a Greenberger-Horne-Zeilinger type theorem, showing that any deterministic, local, realistic theory is inconsistent with the quantum-mechanical perfect correlations for such a state. This theorem holds for individual events, with no inequalities, for detectors of 100% efficiency.
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