Theory of genuine tripartite nonlocality of Gaussian states
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...
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| Format: | Article |
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American Physical Society
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47229/ |
| _version_ | 1848797495373594624 |
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| author | Adesso, Gerardo Piano, Samanta |
| author_facet | Adesso, Gerardo Piano, Samanta |
| author_sort | Adesso, Gerardo |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:04:47Z |
| format | Article |
| id | nottingham-47229 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:47Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-472292020-05-04T16:42:08Z https://eprints.nottingham.ac.uk/47229/ Theory of genuine tripartite nonlocality of Gaussian states Adesso, Gerardo Piano, Samanta 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. American Physical Society 2014-01-06 Article PeerReviewed 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 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.010401 doi:10.1103/PhysRevLett.112.010401 doi:10.1103/PhysRevLett.112.010401 |
| spellingShingle | Adesso, Gerardo Piano, Samanta Theory of genuine tripartite nonlocality of Gaussian states |
| title | Theory of genuine tripartite nonlocality of Gaussian states |
| title_full | Theory of genuine tripartite nonlocality of Gaussian states |
| title_fullStr | Theory of genuine tripartite nonlocality of Gaussian states |
| title_full_unstemmed | Theory of genuine tripartite nonlocality of Gaussian states |
| title_short | Theory of genuine tripartite nonlocality of Gaussian states |
| title_sort | theory of genuine tripartite nonlocality of gaussian states |
| url | https://eprints.nottingham.ac.uk/47229/ https://eprints.nottingham.ac.uk/47229/ https://eprints.nottingham.ac.uk/47229/ |