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Bell Correlations in a Many-Body System with Finite Statistics

Wagner, Sebastian and Schmied, Roman and Fadel, Matteo and Treutlein, Philipp and Sangouard, Nicolas and Bancal, Jean-Daniel. (2017) Bell Correlations in a Many-Body System with Finite Statistics. Physical Review Letters, 119 (17). p. 170403.

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Abstract

A recent experiment reported the first violation of a Bell correlation witness in a many-body system [Science 352, 441 (2016)]. Following discussions in this Letter, we address here the question of the statistics required to witness Bell correlated states, i.e., states violating a Bell inequality, in such experiments. We start by deriving multipartite Bell inequalities involving an arbitrary number of measurement settings, two outcomes per party and one-and two-body correlators only. Based on these inequalities, we then build up improved witnesses able to detect Bell correlated states in many-body systems using two collective measurements only. These witnesses can potentially detect Bell correlations in states with an arbitrarily low amount of spin squeezing. We then establish an upper bound on the statistics needed to convincingly conclude that a measured state is Bell correlated.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Experimentelle Nanophysik (Treutlein)
05 Faculty of Science > Departement Physik > Physik > Quantum Physics (Sangouard)
UniBasel Contributors:Treutlein, Philipp and Wagner, Sebastian and Schmied, Roman and Fadel, Matteo and Sangouard, Nicolas and Bancal, Jean-Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
ISSN:0031-9007
e-ISSN:1079-7114
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:28 Dec 2017 10:18
Deposited On:28 Dec 2017 10:18

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