Strongly nonlocal unextendible product bases do exist

Shi, Fei1; Li, Mao-Sheng2,3; Hu, Mengyao4,5; Chen, Lin4,5,6; Yung, Man-Hong2,7; Wang, Yan-Ling8; Zhang, Xiande9

2022-01-05

Quantum   影响因子和分区

2521-327X

A set of multipartite orthogonal product states is locally irreducible, if it is not possible to eliminate one or more states from the set by orthogonality-preserving local measurements. An effective way to prove that a set is locally irreducible is to show that only trivial orthogonality-preserving local measurement can be performed to this set. In general, it is difficult to show that such an orthogonality-preserving local measurement must be trivial. In this work, we develop two basic techniques to deal with this problem. Using these techniques, we successfully show the existence of unextendible product bases (UPBs) that are locally irreducible in every bipartition in d circle times d circle times d for any d >= 3, and 3 circle times 3 circle times 3 achieves the minimum dimension for the existence of such UPBs. These UPBs exhibit the phenomenon of strong quantum nonlocality without entanglement. Our result solves an open question given by Halder et al. [Phys. Rev. Lett. 122, 040403 (2019)] and Yuan et al. [Phys. Rev. A 102, 042228 (2020)]. It also sheds new light on the connections between UPBs and strong quantum nonlocality.

SCI

英语

其他

NSFC[11901084,61773119,11771419,12171452] ; Anhui Initiative in Quantum Information Technologies[AHY150200] ; National Key Research and Development Program of China[2020YFA0713100] ; National Natural Science Foundation of China[12005092,11875160,"U1801661"] ; China Postdoctoral Science Foundation[2020M681996] ; Natural Science Foundation of Guang-dong Province[2017B030308003] ; Key R&D Program of Guangdong province[2018B030326001] ; Guang-dong Innovative and Entrepreneurial Research TeamProgram[2016ZT06D348] ; Science, Technology and Innovation Commission of Shenzhen Municipality["JCYJ20170412152620376","JCYJ20170817105046702","KYTDPT20181011104202253"] ; Economy, Trade and Information Commission of Shenzhen Municipality[201901161512] ; DGUT[GC300501-103] ; NNSF of China[11871089] ; Fundamental Research Funds for the Central Universities[ZG216S2005]

Physics

Quantum Science & Technology ; Physics, Multidisciplinary

WOS:000741099000001

VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF

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.Southern Univ Sci & Technol, Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
8.Dongguan Univ Technol, Sch Comp Sci & Techonol, Dongguan 523808, Peoples R China
9.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

Shi, Fei,Li, Mao-Sheng,Hu, Mengyao,et al. Strongly nonlocal unextendible product bases do exist[J]. Quantum,2022,6.

Shi, Fei.,Li, Mao-Sheng.,Hu, Mengyao.,Chen, Lin.,Yung, Man-Hong.,...&Zhang, Xiande.(2022).Strongly nonlocal unextendible product bases do exist.Quantum,6.

Shi, Fei,et al."Strongly nonlocal unextendible product bases do exist".Quantum 6(2022).