Strong quantum nonlocality in N -partite systems

Fei Shi, Zuo Ye, Lin Chen, Xiande Zhang

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


A set of multipartite orthogonal quantum states is strongly nonlocal if it is locally irreducible for every bipartition of the subsystems [S. Halder, M. Banik, S. Agrawal, and S. Bandyopadhyay, Phys. Rev. Lett. 122, 040403 (2019)PRLTAO0031-900710.1103/PhysRevLett.122.040403]. Although this property has been shown in three-, four-, and five-partite systems, the existence of strongly nonlocal sets in N-partite systems remains unknown when N=6. In this paper, we successfully show that a strongly nonlocal set of orthogonal entangled states exists in (Cd) - N for all N=3 and d=2, which reveals the strong quantum nonlocality in general N-partite systems. For N=3 or 4 and d=3, we present a strongly nonlocal set consisting of genuinely entangled states, which has a smaller size than any known strongly nonlocal orthogonal product set. Finally, we connect strong quantum nonlocality with local hiding of information as an application.

Original languageEnglish
Article number022209
JournalPhysical Review A
Issue number2
StatePublished - 1 Feb 2022
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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