All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
arXiv:2312.08757 · doi:10.1038/s41534-025-01080-3
Abstract
Understanding which entangled states give rise to Bell nonlocality and thus are resourceful in the device-independent framework is a long-stanging unresolved problem. Here we establish the equivalence between genuine entanglement and genuine nonlocality for a broad class of multipartite (pure and mixed) states originating from the stabilizer formalism. In fact, we prove that any (mixed) stabilizer state defined on a genuinely entangled subspace is multipartite fully nonlocal meaning that it gives rise to correlations with no contribution from local hidden variable models of any type. Importantly, we also derive a lower bound on genuine nonlocality content of arbitrary multipartite states, opening the door to its experimental estimation.
arXiv comment13 pages, 2 figures, the new version introduces Theorem 2 and Appendix C
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