Inseparability criteria for demonstration of the Einstein-Podolsky-Rosen gedanken experiment

Abstract

It is shown that a criterion used to demonstrate realization of the 1935 Einstein-Podolsky-Rosen (EPR) gedanken experiment is sufficient to demonstrate quantum entanglement. A further set of measurable criteria sufficient to demonstrate EPR gedanken experiment is proposed, these being the set of criteria sufficient to demonstrate entanglement, by way of a measured violation of a necessary condition of separability. In this way, provided the spatial separation of systems is sufficient to ensure EPR's locality hypothesis, it is shown how a measured demonstration of entanglement will, at least, be equivalent to a demonstration of the EPR gedanken experiment. Using hidden variables it is explained how such demonstrations are a direct manifestation of the inconsistency of local realism with quantum mechanics.