TY - JOUR
T1 - Strong quantum nonlocality in N -partite systems
AU - Shi, Fei
AU - Ye, Zuo
AU - Chen, Lin
AU - Zhang, Xiande
N1 - Publisher Copyright:
© 2022 American Physical Society.
PY - 2022/2/1
Y1 - 2022/2/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85125251855&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.105.022209
DO - 10.1103/PhysRevA.105.022209
M3 - Article
AN - SCOPUS:85125251855
SN - 2469-9926
VL - 105
JO - Physical Review A
JF - Physical Review A
IS - 2
M1 - 022209
ER -