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Witnessing Bell violations through probabilistic negativity

Morris, Benjamin; Fiderer, Lukas J.; Lang, Ben; Goldwater, Daniel

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Authors

Benjamin Morris

Lukas J. Fiderer

BEN LANG BEN.LANG@NOTTINGHAM.AC.UK
Senior Research Fellow

Daniel Goldwater



Abstract

Bell's theorem shows that no local hidden-variable model can explain the measurement statistics of a quantum system shared between two parties, thus ruling out a classical (local) understanding of nature. In this paper we demonstrate that by relaxing the positivity restriction in the hidden-variable probability distribution it is possible to derive quasiprobabilistic Bell inequalities whose sharp upper bound is written in terms of a negativity witness of said distribution. This provides an analytic solution for the amount of negativity necessary to violate the Clauser-Horne-Shimony-Holt inequality by an arbitrary amount, therefore revealing the amount of negativity required to emulate the quantum statistics in a Bell test.

Citation

Morris, B., Fiderer, L. J., Lang, B., & Goldwater, D. (2022). Witnessing Bell violations through probabilistic negativity. Physical Review A, 105(3), Article 032202. https://doi.org/10.1103/physreva.105.032202

Journal Article Type Article
Acceptance Date Feb 8, 2022
Online Publication Date Mar 2, 2022
Publication Date Mar 2, 2022
Deposit Date Mar 4, 2022
Publicly Available Date Mar 4, 2022
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 105
Issue 3
Article Number 032202
DOI https://doi.org/10.1103/physreva.105.032202
Public URL https://nottingham-repository.worktribe.com/output/7536211
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.032202

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