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The Exclusivity Principle Determines the Correlation Monogamy
Adopting the graph-theoretic approach to the correlation experiments, we
analyze the origin of monogamy and prove that it can be recognised as a
consequence of exclusivity principle(EP). We provide an operational criterion
for monogamy: if the fractional packing number of the graph corresponding to
the union of event sets of several physical experiments does not exceed the sum
of independence numbers of each individual experiment graph, then these
experiments are monogamous. As applications of this observation, several
examples are provided, including the monogamy for experiments of
Clauser-Horne-Shimony-Holt (CHSH) type, Klyachko-Can-Binicio\u{g}lu-Shumovsky
(KCBS) type, and for the first time we give some monogamy relations of
Swetlichny's genuine nonlocality. We also give the necessary and sufficient
condition for several experiments to be monogamous: several experiments are
monogamous if and only if the Lov\'asz number the union exclusive graph is less
than or equal to the sum of independence numbers of each exclusive graph
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