Locally distinguishing nonlocal sets with entanglement resource

Abstract

Recently, much attention has been paid to the construction of nonlocal sets. The existence of nonlocal sets gives rise to the research on the entanglement-assisted discrimination. We first present a method to locally distinguish a nonlocal set of orthogonal product states in (ℂd)⊗n by utilizing only a 2⊗2 maximally entangled state. Then we generalize the method to general multipartite quantum system ⊗i=1nℂdi based on the same entangled resource. Fortunately, we find that a 2⊗2 maximally entangled state can be employed as a universal resource for perfectly distinguishing the nonlocal sets constructed by Zhen et al (2022). In particular, the protocols we designed could not only efficiently distinguish these states, but also show that the strength of these nonlocal sets is minimal from the perspective of auxiliary resources.