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Detecting genuine multipartite quantum nonlocality: a simple approach and generalization to arbitrary dimensions

The structure of Bell-type inequalities detecting genuine multipartite nonlocality, 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...

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Bibliographic Details
Published in:Physical review letters 2011-01, Vol.106 (2), p.020405-020405, Article 020405
Main Authors: Bancal, Jean-Daniel, Brunner, Nicolas, Gisin, Nicolas, Liang, Yeong-Cherng
Format: Article
Language:English
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Summary:The structure of Bell-type inequalities detecting genuine multipartite nonlocality, 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 nonlocality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally, we discuss the tightness and quantum mechanical violations of these inequalities.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.106.020405