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Fully Nonlocal, Monogamous, and Random Genuinely Multipartite Quantum Correlations
Stockholm University, Faculty of Science, Department of Physics.
2012 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 108, no 10, 100401- p.Article in journal (Refereed) Published
Abstract [en]

Local measurements on bipartite maximally entangled states can yield correlations that are maximally nonlocal, monogamous, and with fully random outcomes. This makes these states ideal for bipartite cryptographic tasks. Genuine-multipartite nonlocality constitutes a stronger notion of nonlocality in the multipartite case. Maximal genuine-multipartite nonlocality, monogamy, and random outcomes are thus highly desired properties for genuine-multipartite cryptographic scenarios. We prove that local measurements on any Greenberger-Horne-Zeilinger state can produce correlations that are fully genuine-multipartite nonlocal, monogamous, and with fully random outcomes. A key ingredient in our proof is a multipartite chained Bell inequality detecting genuine-multipartite nonlocality, which we introduce. Finally, we discuss applications to device-independent secret sharing.

Place, publisher, year, edition, pages
2012. Vol. 108, no 10, 100401- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-76263DOI: 10.1103/PhysRevLett.108.100401ISI: 000301101800001OAI: oai:DiVA.org:su-76263DiVA: diva2:528396
Note
4Available from: 2012-05-25 Created: 2012-05-10 Last updated: 2017-12-07Bibliographically approved

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