Strong quantum nonlocality for unextendible product bases in heterogeneous systems

Shi, Fei1; Li, Mao-Sheng2,3; Chen, Lin4,5,6; Zhang, Xiande7

2022-01-07

10.1088/1751-8121/ac3bea

Journal of Physics A-Mathematical and Theoretical   影响因子和分区

1751-8113

1751-8121

A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entanglement. It is known that unextendible product bases (UPBs) can show the phenomenon of quantum nonlocality without entanglement. Thus it is interesting to investigate the strong quantum nonlocality for UPBs. Most of the UPBs with the minimum size cannot demonstrate strong quantum nonlocality. In this paper, we construct a series of UPBs with different large sizes in d ( A ) circle times d ( B ) circle times d ( C ) and d ( A ) circle times d ( B ) circle times d ( C ) circle times d ( D ) for d ( A ), d ( B ), d ( C ), d ( D ) > 3, and we also show that these UPBs have strong quantum nonlocality, which answers an open question given by Halder et al (2019 Phys. Rev. Lett. 122 040403) and Yuan et al (2020 Phys. Rev. A 102 042228) for any possible three and four-partite systems. Furthermore, we propose an entanglement-assisted protocol to locally discriminate the UPB in 3 circle times 3 circle times 4, and it consumes less entanglement resource than the teleportation-based protocol. Our results build the connection between strong quantum nonlocality and UPBs.

strong quantum nonlocality unextendible product bases entanglement-assisted discrimination

SCI

英语

其他

NSFC[12005092] ; Anhui Initiative in Quantum Information Technologies[AHY150200] ; National Key Research and Development Program of China[2020YFA0713100] ; China Postdoctoral Science Foundation[2020M681996] ; NNSF of China[11871089] ; Fundamental Research Funds for the Central Universities[ZG216S2005]

Physics

Physics, Multidisciplinary ; Physics, Mathematical

WOS:000729193000001

IOP Publishing Ltd

Web of Science

1.Univ Sci & Technol China, Sch Cyber Secur, Hefei 230026, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Univ Sci & Technol China, Dept Phys, Hefei 230026, Peoples R China
4.Beihang Univ, LMIB, Minist Educ, Beijing 100191, Peoples R China
5.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
6.Beihang Univ, Int Res Inst Multidisciplinary Sci, Beijing 100191, Peoples R China
7.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

Shi, Fei,Li, Mao-Sheng,Chen, Lin,et al. Strong quantum nonlocality for unextendible product bases in heterogeneous systems[J]. Journal of Physics A-Mathematical and Theoretical,2022,55(1).

Shi, Fei,Li, Mao-Sheng,Chen, Lin,&Zhang, Xiande.(2022).Strong quantum nonlocality for unextendible product bases in heterogeneous systems.Journal of Physics A-Mathematical and Theoretical,55(1).

Shi, Fei,et al."Strong quantum nonlocality for unextendible product bases in heterogeneous systems".Journal of Physics A-Mathematical and Theoretical 55.1(2022).