A note on local unitary equivalence of isotropic-like states

doi:10.1088/1674-1056/24/12/120305

中国物理B ›› 2015, Vol. 24 ›› Issue (12): 120305-120305.doi: 10.1088/1674-1056/24/12/120305

A note on local unitary equivalence of isotropic-like states

张廷桂^a, 华波波^b, 李明^c, 赵明镜^d, 杨红^e

a School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China;
b School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China;
c College of Science, China University of Petroleum, Qingdao 266580, China;
d Department of Mathematics, School of Science, Beijing Information Science and Technology University, Beijing 100192, China;
e College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China

收稿日期:2015-07-17 修回日期:2015-08-20 出版日期:2015-12-05 发布日期:2015-12-05
通讯作者: Zhang Ting-Gui, Zhao Ming-Jing E-mail:tinggui333@163.com;zhaomingjingde@126.com
基金资助:
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), and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

A note on local unitary equivalence of isotropic-like states

Zhang Ting-Gui (张廷桂)^a, Hua Bo-Bo (华波波)^b, Li Ming (李明)^c, Zhao Ming-Jing (赵明镜)^d, Yang Hong (杨红)^e

a School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China;
b School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China;
c College of Science, China University of Petroleum, Qingdao 266580, China;
d Department of Mathematics, School of Science, Beijing Information Science and Technology University, Beijing 100192, China;
e College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China

Received:2015-07-17 Revised:2015-08-20 Online:2015-12-05 Published:2015-12-05
Contact: Zhang Ting-Gui, Zhao Ming-Jing E-mail:tinggui333@163.com;zhaomingjingde@126.com
Supported by:
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), and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

摘要/Abstract

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.

关键词: mixed state, local unitary equivalence, local unitary similar equivalence

Abstract: 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.

Key words: mixed state, local unitary equivalence, local unitary similar equivalence

中图分类号: (Quantum information)

03.67.-a

02.20.Hj (Classical groups) 03.65.-w (Quantum mechanics)

张廷桂, 华波波, 李明, 赵明镜, 杨红. A note on local unitary equivalence of isotropic-like states[J]. 中国物理B, 2015, 24(12): 120305-120305.

Zhang Ting-Gui (张廷桂), Hua Bo-Bo (华波波), Li Ming (李明), Zhao Ming-Jing (赵明镜), Yang Hong (杨红). A note on local unitary equivalence of isotropic-like states[J]. Chin. Phys. B, 2015, 24(12): 120305-120305.

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A note on local unitary equivalence of isotropic-like states

A note on local unitary equivalence of isotropic-like states

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