Theory of genuine tripartite nonlocality of Gaussian states

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

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We 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.

Item Type: Article
Additional Information: © 2014 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
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Depositing User: Eprints, Support
Date Deposited: 12 Oct 2017 10:46
Last Modified: 04 May 2020 16:42

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