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Theory of genuine tripartite nonlocality of Gaussian states

Adesso, Gerardo; Piano, Samanta

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Abstract

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.

Citation

Adesso, G., & Piano, S. (2014). Theory of genuine tripartite nonlocality of Gaussian states. Physical Review Letters, 112(1), https://doi.org/10.1103/PhysRevLett.112.010401

Journal Article Type Article
Acceptance Date Nov 6, 2013
Publication Date Jan 6, 2014
Deposit Date Oct 12, 2017
Publicly Available Date Mar 29, 2024
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 112
Issue 1
DOI https://doi.org/10.1103/PhysRevLett.112.010401
Public URL https://nottingham-repository.worktribe.com/output/722183
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.010401
Additional Information © 2014 American Physical Society

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