title: Fully nonlocal, monogamous, and random genuinely multipartite quantum correlations.
abstract: 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.
authors.affiliation: ICFO-Institut de Ciències Fotòniques, Av. Carl Friedrich Gauss 3, E-08860 Castelldefels (Barcelona), Spain.
authors.forename: Leandro
authors.initials: L
authors.lastname: Aolita
authors.forename: Rodrigo
authors.initials: R
authors.lastname: Gallego
authors.forename: Adán
authors.initials: A
authors.lastname: Cabello
authors.forename: Antonio
authors.initials: A
authors.lastname: Acín