All genuinely entangled stabilizer subspaces are multipartite fully nonlocal

• URL: http://arxiv.org/abs/2312.08757v2
• Date: Thu, 07 Nov 2024 12:54:11 GMT
• Title: All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
• Authors: Owidiusz Makuta, Remigiusz Augusiak,
• Abstract summary: We prove that any stabilizer state defined on a genuinely entangled subspace is multipartite fully nonlocal. We also derive a lower bound on genuine nonlocality content of arbitrary multipartite states, opening the door to its experimental estimation.
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• 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.

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