Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension

Details Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension

2010-10-30

arxiv.org/abs/1011.0089v3

Phys.Rev.Lett.106:020405,2011

Physics

Quantum Physics

v3: corrected the sentence after equation 5

Scientific paper

10.1103/PhysRevLett.106.020405

The structure of Bell-type inequalities detecting genuine multipartite non-locality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive approach to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics. Based on this approach, we then derive a family of Bell-type inequalities for detecting genuine multipartite non-locality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally we discuss the thightness and quantum mechanical violations of these inequalities.

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