Single Bell inequality to detect genuine nonlocality in three-qubit pure genuinely entangled states

It remains an open question whether every pure multipartite state that is genuinely entangled is also genuinely nonlocal. Recently, a new general construction of Bell inequalities allowing the detection of genuine multipartite nonlocality (GMNL) in quantum states was proposed in Curchod et al (2019...

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Bibliographic Details
Published in:New journal of physics 2024-09, Vol.26 (9), p.93029
Main Authors: Stachura, Ignacy, Makuta, Owidiusz, Augusiak, Remigiusz
Format: Article
Language:English
Subjects:
Bell inequalities
Bell nonlocality
Bell's inequality
Entangled states
genuine multipartite entanglement
genuine multipartite nonlocality
Gisin’s conjecture
Physics
Probability distribution
Quantum entanglement
Qubits (quantum computing)
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Summary:It remains an open question whether every pure multipartite state that is genuinely entangled is also genuinely nonlocal. Recently, a new general construction of Bell inequalities allowing the detection of genuine multipartite nonlocality (GMNL) in quantum states was proposed in Curchod et al (2019 New J. Phys. 21 023016) with the aim of addressing the above problem. Here we show how, in a simple manner, one can improve this construction to deliver finer Bell inequalities for detection of GMNL. Remarkably, we then prove one of the improved Bell inequalities to be powerful enough to detect GMNL in every three-qubit genuinely entangled state. We also generalize some of these inequalities to detect not only GMNL but also nonlocality depth in multipartite states and we present a possible way of generalizing them to the case of more outcomes.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ad7753