A single N-qubit state can violate all binom(N,k) Bell inequalities for its (N-k)-partite subsystems at once, with the effect extending across multiple subsystem sizes via hyper-polygamy.
These results are shown in Table II
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The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy
A single N-qubit state can violate all binom(N,k) Bell inequalities for its (N-k)-partite subsystems at once, with the effect extending across multiple subsystem sizes via hyper-polygamy.