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Theory of genuine tripartite nonlocality of Gaussian states

Adesso, Gerardo; Piano, Samanta

Authors

Gerardo Adesso

Samanta Piano



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.

Journal Article Type Article
Publication Date Jan 6, 2014
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 112
Issue 1
APA6 Citation Adesso, G., & Piano, S. (2014). Theory of genuine tripartite nonlocality of Gaussian states. Physical Review Letters, 112(1), doi:10.1103/PhysRevLett.112.010401
DOI https://doi.org/10.1103/PhysRevLett.112.010401
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.010401
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information © 2014 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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