Local unitary classification for sets of generalized Bell states

doi:10.1103/PhysRevA.98.022304

	Local unitary classification for sets of generalized Bell states
	Wu, Bujiao 1; Jiang, Jiaqing ; Zhang, Jialin ; Tian, Guojing ; Sun, Xiaoming
	2018-08-03
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	98 期号:2 页码:12
摘要	In this paper, we study the local unitary (LU) classification for pairs (triples) of generalized Bell states, based on the local unitary equivalence of two sets. In detail, we first introduce some general unitary operators which give us more local unitary equivalent sets besides Clifford operators. And then we present two necessary conditions for local unitary equivalent sets which can be used to examine the local inequivalence. Following this approach, we completely classify all pairs in the d circle times d quantum system into Pi(n)(j=1) (kj + 1) - 1 LU-inequivalent pairs when the prime factorization of d = Pi(n)(j=1) p(j)(kj). Moreover, all triples in the p(alpha) circle times p(alpha) quantum system for prime p can be partitioned into (a+3)/6 p(alpha) + O(alpha p(alpha-1)) LU-inequivalent triples; especially, when alpha = 2 and p > 2, there are exactly [5/6p(2)] + [p-2/6 + (-1)([p/3]) p/3] + 3 LU-inequivalent triples.
DOI	10.1103/PhysRevA.98.022304
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[61433014] ; National Natural Science Foundation of China[61502449] ; National Natural Science Foundation of China[61602440] ; Natural Science Foundation of Beijing[4184100]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000440713600006
出版者	AMER PHYSICAL SOC
引用统计	被引频次：9[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/5098
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Wu, Bujiao
作者单位	1.Chinese Acad Sci, Inst Comp Technol, Key Lab Network Data Sci & Technol, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wu, Bujiao,Jiang, Jiaqing,Zhang, Jialin,et al. Local unitary classification for sets of generalized Bell states[J]. PHYSICAL REVIEW A,2018,98(2):12.
APA	Wu, Bujiao,Jiang, Jiaqing,Zhang, Jialin,Tian, Guojing,&Sun, Xiaoming.(2018).Local unitary classification for sets of generalized Bell states.PHYSICAL REVIEW A,98(2),12.
MLA	Wu, Bujiao,et al."Local unitary classification for sets of generalized Bell states".PHYSICAL REVIEW A 98.2(2018):12.