Definitions of multipartite nonlocality
By J. Bancal, Jonathan Barrett, Nicolas Gisin, Stefano Pironio. 2011
160 citations recorded by the source corpus.
n a multipartite setting, it is possible to distinguish quantum states that are genuinely n-way entangled from those that are separable with respect to some bipartition. Similarly, the nonlocal correlations that can arise from measurements on entangled states can be classified into those that are genuinely n-way nonlocal, and those that are local with respect to some bipartition. Svetlichny introduced an inequality intended as a test for genuine tripartite nonlocality. This work introduces two alternative definitions of n-way nonlocality, which we argue are better motivated both from the point of view of the study of nature, and from the point of view of quantum information theory. We show that these definitions are strictly weaker than Svetlichny's, and introduce a series of suitable Bell-type inequalities for the detection of three-way nonlocality. Numerical evidence suggests that all three-way entangled pure quantum states can produce three-way nonlocal correlations.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/77eb1a502233dff00b2b69dd99f2e635a87dc34b
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Direct generation of three-photon polarization entanglement (2014, background): “A violation of the Svetlichny inequality thus guarantees the presence of multipartite nonlocality [37], and rules out a large class of non-local hidden variable theories which Mermin’s inequality cannot.”