A sufficient and necessary criterion for separability of bipartite quantum states
- ISSN号:1674-1056
- 期刊名称:《中国物理B:英文版》
- 时间:0
- 分类:O413.1[理学—理论物理;理学—物理] O174.13[理学—数学;理学—基础数学]
- 作者机构:[1]School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China, [2]School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China, [3]College of Science, China University of Petroleum, Qingdao 266580, China, [4]Department of Mathematics, School of Science, Beijing Information Science and Technology University, Beijing 100192, China, [5]College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China
- 相关基金:Project supported by the National Natural Science Foundation of China(Grant Nos.11401032;61473325;11501153;11105226;11275131;and 11401106); the Fundamental Research Funds for the Central Universities;China(Grant Nos.15CX08011A and 24720122013); the Natural Science Foundation of Hainan Province;China(Grant Nos.20151005 and 20151010); the Scientific Research Foundation for the Returned Overseas Chinese Scholars;State Education Ministry.
关键词:
各向同性, 等价性, 局域, 状态, 注记, 充分必要条件, 充分条件, 量子态, mixed state,local unitary equivalence,local unitary similar equivalence
中文摘要:
We consider the local unitary equivalence of a class of quantum states in a bipartite case and a multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent classes of isotropic state and Werner state are provided. Then we study the local unitary similar equivalence of this class of quantum states and analyze the necessary and sufficient condition.
英文摘要:
We consider the local unitary equivalence of a class of quantum states in a bipartite case and a multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent classes of isotropic state and Werner state are provided. Then we study the local unitary similar equivalence of this class of quantum states and analyze the necessary and sufficient condition.