Physical principles constrain the way nonlocal correlations can be distributed among distant parties. These
constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation
observed among a set of parties by the violation observed by a different set of parties. We prove here that much
stronger monogamy relations are possible for nonsignaling correlations by showing how nonlocal correlations
among a set of parties limit any form of correlations, not necessarily nonlocal, shared among other parties. In
particular, we provide tight bounds between the violation of a family of Bell inequalities among an arbitrary
number of parties and the knowledge an external observer can gain about outcomes of any single measurement
performed by the parties. Finally, we show how the obtained monogamy relations offer an improvement over the
existing protocols for device-independent quantum key distribution and randomness amplification.
CitationAugusiak, Remigiusz [et al.]. Elemental and tight monogamy relations in nonsignaling theories. "Physical Reivew A: Atomic, Molecular, and Optical Physics", 17 Novembre 2014, vol. 90, núm. 052323.
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