Theory of genuine tripartite nonlocality of Gaussian states

Adesso, Gerardo; Piano, Samanta

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: Oct 12, 2017
• 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
• Contract Date: Oct 12, 2017