Abstract
The nonlocal correlations of multipartite entangled states can be reproduced by a classical model if sufficiently many parties join together or if sufficiently many parties broadcast their measurement inputs. The maximal number \(m\) of groups and the minimal number \(k\) of broadcasting parties that allow for the reproduction of a given set of correlations quantify their multipartite nonlocal content. We show how upper-bounds on \(m\) and lower-bounds on \(k\) can be computed from the violation of the Mermin-Svetlichny inequalities. While \(n\)-partite GHZ states violate these inequalities maximally, we find that W states violate them only by a very small amount.
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Notes
- 1.
This chapter appeared as: “J.-D. Bancal, et al., Quantifying Multipartite Nonlocality, Phys. Rev. Lett. 103, 090503 (2009).”
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Bancal, JD. (2014). Quantifying Multipartite Nonlocality. In: On the Device-Independent Approach to Quantum Physics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01183-7_5
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DOI: https://doi.org/10.1007/978-3-319-01183-7_5
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