Locally distinguishing nonlocal sets with entanglement resource

Hai-Qing Cao and Hui-Juan Zuo

Physica A: Statistical Mechanics and its Applications, 2023, vol. 623, issue C

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.

Keywords: Nonlocal set; Entanglement-assisted discrimination; Maximally entangled state (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:623:y:2023:i:c:s0378437123004077

DOI: 10.1016/j.physa.2023.128852

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