Continuous variable tripartite entanglement and Einstein-Podolsky-Rosen correlations from triple nonlinearities

Abstract

We compare theoretically the tripartite entanglement available from the use of three concurrent ${\chi }^{(2)}$ nonlinearities and three independent squeezed states mixed on beamsplitters, using the van Loock-Furusawa inequalities. We also define three-mode generalisations of the Einstein-Podolsky-Rosen paradox which are an alternative for demonstrating the inseparability of the density matrix.

23 pages 12 figures

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