Physics – Quantum Physics
Scientific paper
2011-12-12
Physics
Quantum Physics
Appendix is missing, but will be included in v2 in the next few days
Scientific paper
In 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 suitable Bell-type inequality for the detection of 3-way nonlocality. Numerical evidence suggests that all 3-way entangled pure quantum states can produce correlations that violate this inequality.
Bancal Jean-Daniel
Barrett Jonathan
Gisin Nicolas
Pironio Stefano
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