典型文献
Constructing the three-qudit unextendible product bases with strong nonlocality
文献摘要：
Unextendible product bases(UPBs)are interesting members of a family of orthogonal product bases.Here,we investigate the construction of 3-qudit UPBs with strong nonlocality.First,a UPB set in C3(⊕)C3(⊕)C3 of size 19 is presented based on the shift UPBs.By mapping the system to a Rubik's cube,we provide a general method of constructing UPBs in Cd(⊕)Cd(⊕)Cd of size(d-1)3+2d+5,whose corresponding Rubik's cube is composed of four parts.Second,for the more general case where the dimensions of parties are different,we extend the classical tile structure to the 3-qudit system and propose the tri-tile structure.By means of this structure,aC4(⊕)C4(⊕)C5 system of size 38 is obtained based on aC3(⊕)C3(⊕)C4 system of size 19.Then,we generalize this approach to the Cd1(⊕)Cd2(⊕)Cd3 system which also consists of four parts.Our research provides a positive answer to the open question raised in by Halder et al.[Phys.Rev.Lett.122040403(2019)],indicating that there do exist UPBs that can exhibit strong quantum nonlocality without entanglement.
文献关键词：
中图分类号：
作者姓名：
Bichen Che;Zhao Dou;Xiubo Chen;Yu Yang;Jian Li;Yixian Yang
作者机构：
Information Security Center,State Key Laboratory of Networking and Switching Technology,Beijing University of Posts and Telecommunications,Beijing 100876,China;Information Security Center,Beijing University of Posts and Telecommunications,Beijing 100876,China
文献出处：
引用格式：
[1]Bichen Che;Zhao Dou;Xiubo Chen;Yu Yang;Jian Li;Yixian Yang-.Constructing the three-qudit unextendible product bases with strong nonlocality)[J].中国物理B（英文版）,2022(06):192-204
A类：
qudit,unextendible,Unextendible,UPBs,Rubik,3+2d+5,aC4,aC3,Halder
B类：
Constructing,three,product,bases,strong,nonlocality,are,interesting,members,family,orthogonal,Here,investigate,construction,First,set,size,presented,shift,By,mapping,system,cube,method,constructing,whose,corresponding,composed,four,parts,Second,more,case,where,dimensions,parties,different,classical,tile,structure,propose,tri,means,this,C5,obtained,Then,generalize,approach,Cd1,Cd2,Cd3,which,also,consists,Our,research,provides,positive,answer,open,question,raised,by,Phys,Rev,Lett,indicating,that,there,do,exist,can,exhibit,quantum,without,entanglement
AB值：
0.457258
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