All genuinely entangled stabilizer subspaces are multipartite fully nonlocal

npj Quantum Information, vol. 11

Abstract

Abstract Understanding which entangled states give rise to Bell nonlocality and thus are resourceful in the device-independent framework is a long-standing 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.

Authors 2

1. Owidiusz Makuta corresponding Aachen Applied Quantum Algorithms Leiden Instituut-Lorentz

   Leiden University · Polish Academy of Sciences · Center for Theoretical Physics

   Affiliation as printed

   Applied Quantum Algorithms Leiden, Leiden, The Netherlands

   Center for Theoretical Physics, Polish Academy of Sciences, Warsaw, Poland

   Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands

2. Remigiusz Augusiak

   Polish Academy of Sciences · Center for Theoretical Physics

   Affiliation as printed

   Center for Theoretical Physics, Polish Academy of Sciences, Warsaw, Poland