Theory of genuine tripartite nonlocality of Gaussian statesTools Adesso, Gerardo and Piano, Samanta (2014) Theory of genuine tripartite nonlocality of Gaussian states. Physical Review Letters, 112 (1). 010401-1-010401-6. ISSN 1079-7114 Full text not available from this repository.AbstractWe investigate the genuine multipartite nonlocality of three-mode Gaussian states of continuous variable systems. For pure states, we present a simplified procedure to obtain the maximum violation of the Svetlichny inequality based on displaced parity measurements, and we analyze its interplay with genuine tripartite entanglement measured via Rényi-2 entropy. The maximum Svetlichny violation admits tight upper and lower bounds at fixed tripartite entanglement. For mixed states, no violation is possible when the purity falls below 0.86. We also explore a set of recently derived weaker inequalities for three-way nonlocality, finding violations for all tested pure states. Our results provide a strong signature for the nonclassical and nonlocal nature of Gaussian states despite their positive Wigner function, and lead to precise recipes for its experimental verification.
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