Local unitary classification for sets of generalized Bell states | |
Wu, Bujiao2; Jiang, Jiaqing; Zhang, Jialin; Tian, Guojing; Sun, Xiaoming | |
刊名 | PHYSICAL REVIEW A |
2018-08-03 | |
卷号 | 98期号:2页码:12 |
ISSN号 | 2469-9926 |
DOI | 10.1103/PhysRevA.98.022304 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | AMER PHYSICAL SOC |
WOS记录号 | WOS:000440713600006 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.204/handle/2XEOYT63/5097] |
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Key Lab Network Data Sci & Technol, Beijing 100190, 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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