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

arXiv
Authors: Jean-Daniel Bancal, Nicolas Brunner, Nicolas Gisin, Yeong-Cherng Liang

Year

2010

Paper ID

10629

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

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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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • The structure of Bell-type inequalities detecting genuine multipartite non-locality, and hence detecting genuine multipartite entanglement, is investigated.

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