Genuine multipartite nonlocality of permutationally invariant Gaussian states

Xu, Buqing; Tufarelli, Tommaso; Adesso, Gerardo

Abstract

We investigate genuine multipartite nonlocality of pure permutationally invariant multimode Gaussian states of continuous variable systems, as detected by the violation of Svetlichny inequality. We identify the phase space settings leading to the largest violation of the inequality when using displaced parity measurements, distinguishing our results between the cases of even and odd total number of modes. We further consider pseudospin measurements and show that, for three-mode states with asymptotically large squeezing degree, particular settings of these measurements allow one to approach the maximum violation of Svetlichny inequality allowed by quantum mechanics. This indicates that the strongest manifestation of genuine multipartite quantum nonlocality is in principle verifiable on Gaussian state.

Citation

Xu, B., Tufarelli, T., & Adesso, G. (2017). Genuine multipartite nonlocality of permutationally invariant Gaussian states. Physical Review A, 95(1), https://doi.org/10.1103/PhysRevA.95.012124

• Journal Article Type: Article
• Acceptance Date: Dec 22, 2016
• Publication Date: Jan 18, 2017
• Deposit Date: Feb 24, 2017
• Publicly Available Date: Feb 24, 2017
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 95
• Issue: 1
• DOI: https://doi.org/10.1103/PhysRevA.95.012124
• Public URL: https://nottingham-repository.worktribe.com/output/839919
• Publisher URL: http://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.012124