Institute of Computing Technology, Chinese Academy IR
Local unitary classification for sets of generalized Bell states | |
Wu, Bujiao1; 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 | |
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. |
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