Certifying nonlocality from separable marginals

Tamás Vértesi, Wiesław Laskowski, Károly F. Pál

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3 Citations (Scopus)


Imagine three parties, Alice, Bob, and Charlie, who share a state of three qubits such that all two-party reduced states A-B, A-C, and B-C are separable. Suppose that they have information only about these marginals but not about the global state. According to recent results, there exists an example for a set of three separable two-party reduced states that is only compatible with an entangled global state. In this paper, we show a stronger result by exhibiting separable two-party reduced states A-B, A-C, and B-C, such that any global state compatible with these marginals is nonlocal. Hence, we obtain that nonlocality of multipartite states can be certified from information only about separable marginals.

Original languageEnglish
Article number012115
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
Publication statusPublished - Jan 17 2014


  • 03.65.Ud

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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