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Understanding the relationship between entanglement and Bell nonlocality isone of the long-lasting open problems in quantum physics which is importantboth from the fundamental and application points of view. In particular, whileboth entanglement and Bell nonlocality are key resources in quantuminformation, the latter appears to be a stronger one because it allows forinformation processing in the device-independent framework in which the playersneed not trust their devices. Thus, understanding which entangled states giverise to Bell nonlocality and thus are resourceful in this framework is animportant and interesting task. Here we establish the equivalence betweengenuine entanglement and genuine nonlocal for a broad class of multipartite(pure and mixed) states originating from the stabilizer formalism. In fact, wedemonstrate a much stronger result that any (mixed) stabilizer state defined ona genuinely entangled subspace is multipartite fully nonlocal meaning that itgives rise to correlations that have no contribution coming from local hiddenvariable models of any type. We thus also introduce the first examples ofgenuinely nonlocal subspaces in multiqubit Hilbert spaces in which every singlepure state is genuinely nonlocal.

All genuinely entangled stabilizer subspaces are multipartite fully nonlocal