Local distinguishability based genuinely quantum nonlocality without entanglement

Li, Mao-Sheng1,2; Wang, Yan-Ling3; Shi, Fei4; Yung, Man-Hong1,5

2021-11-05

10.1088/1751-8121/ac28cd

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

1751-8113

1751-8121

Recently, Halder et al (2019 Phys. Rev. Lett. 122 040403) proposed the concept of strong nonlocality without entanglement: an orthogonal set of fully product states in multipartite quantum systems that is locally irreducible for every bipartition of its subsystems. Due to the complexity of the problem, most results are limited to tripartite systems. Here we consider a weaker form of nonlocality which is called local distinguishability based genuine nonlocality. A set of orthogonal multipartite quantum states is said to be genuinely nonlocal if it is locally indistinguishable for every bipartition of the subsystems. In this work, we study how to construct sets of orthogonal product states which are genuinely nonlocal. Firstly, we present a set of product states with simple structure in bipartite systems that is locally indistinguishable. After that, based on a simple observation, we present a general method to construct genuinely nonlocal sets of multipartite product states by using those sets that are genuinely nonlocal but with less parties. As a consequence, we obtain that genuinely nonlocal sets of fully product states exist in any L parties systems circle times C-L(t=1)di L >= 3 and d(i) >= 3 for all i.

local distinguishability quantum nonlocality product states

SCI

英语

第一

National Natural Science Foundation of China[12005092,11901084,11875160,61773119,11771419,"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] ; Research startup funds of DGUT[GC300501-103] ; Anhui Initiative in Quantum Information Technologies[AHY150200]

Physics

Physics, Multidisciplinary ; Physics, Mathematical

WOS:000704448000001

IOP Publishing Ltd

Web of Science

1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
2.Univ Sci & Technol China, Dept Phys, Hefei 230026, Peoples R China
3.Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan 523808, Peoples R China
4.Univ Sci & Technol China, Sch Cyber Secur, Hefei 230026, Peoples R China
5.Southern Univ Sci & Technol, Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Li, Mao-Sheng,Wang, Yan-Ling,Shi, Fei,et al. Local distinguishability based genuinely quantum nonlocality without entanglement[J]. Journal of Physics A-Mathematical and Theoretical,2021,54(44).

Li, Mao-Sheng,Wang, Yan-Ling,Shi, Fei,&Yung, Man-Hong.(2021).Local distinguishability based genuinely quantum nonlocality without entanglement.Journal of Physics A-Mathematical and Theoretical,54(44).

Li, Mao-Sheng,et al."Local distinguishability based genuinely quantum nonlocality without entanglement".Journal of Physics A-Mathematical and Theoretical 54.44(2021).