Detecting Bell Correlations in Multipartite Non-Gaussian Spin States
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Date
2023-08-18
Publication Type
Journal Article
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yes
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Abstract
We expand the toolbox for studying Bell correlations in multipartite systems by introducing permutationally invariant Bell inequalities (PIBIs) involving few-body correlators. First, we present around twenty families of PIBIs with up to three- or four-body correlators, that are valid for an arbitrary number of particles. Compared to known inequalities, these show higher noise robustness, or the capability to detect Bell correlations in highly non-Gaussian spin states. We then focus on finding PIBIs that are of practical experimental implementation, in the sense that the associated operators require collective spin measurements along only a few directions. To this end, we formulate this search problem as a semidefinite program that embeds the constraints required to look for PIBIs of the desired form.
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Publication status
published
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Journal / series
Volume
131 (7)
Pages / Article No.
70201
Publisher
American Physical Society