Super fidelity and related metrics

被引:9
作者
Chen, Zhi-Hua [2 ]
Ma, Zhihao [1 ]
Zhang, Fu-Lin [3 ]
Chen, Jing-Ling [4 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Zhejiang Univ Technol, Zhijiang Coll, Dept Sci, Hangzhou 310024, Zhejiang, Peoples R China
[3] Tianjin Univ, Dept Phys, Tianjin 300072, Peoples R China
[4] Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
来源
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2011年 / 9卷 / 04期
关键词
super-fidelity; metric; quantum state; QUANTUM STATES; ENTANGLEMENT; DISTANCE;
D O I
10.2478/s11534-010-0123-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report a new metric of quantum states. This metric is built up from super-fidelity, which has a deep connection with the Uhlmann-Jozsa fidelity and plays an important role in quantum information processing. We find that the new metric possesses some interesting properties.
引用
收藏
页码:1036 / 1042
页数:7
相关论文
共 31 条
[1]  
[Anonymous], 1991, TOPICS MATRIX ANAL, DOI DOI 10.1017/CBO9780511840371
[2]   TRANSITION-PROBABILITY SPACES [J].
BELINFANTE, JGF .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (03) :285-291
[3]   Direct measurement of nonlinear properties of bipartite quantum states [J].
Bovino, FA ;
Castagnoli, G ;
Ekert, A ;
Horodecki, P ;
Alves, CM ;
Sergienko, AV .
PHYSICAL REVIEW LETTERS, 2005, 95 (24)
[4]   Random quantum operations [J].
Bruzda, Wojciech ;
Cappellini, Valerio ;
Sommers, Hans-Juergen ;
Zyczkowski, Karol .
PHYSICS LETTERS A, 2009, 373 (03) :320-324
[5]   Alternative fidelity measure between two states of an N-state quantum system -: art. no. 054304 [J].
Chen, JL ;
Fu, L ;
Ungar, AA ;
Zhao, XG .
PHYSICAL REVIEW A, 2002, 65 (05) :3-543043
[6]   Entanglement of formation of bipartite quantum states [J].
Chen, K ;
Albeverio, S ;
Fei, SM .
PHYSICAL REVIEW LETTERS, 2005, 95 (21)
[7]   Concurrence of arbitrary dimensional bipartite quantum states [J].
Chen, K ;
Albeverio, S ;
Fei, SM .
PHYSICAL REVIEW LETTERS, 2005, 95 (04)
[8]  
Chuang I. N., 2000, Quantum Computation and Quantum Information
[9]  
FUCHS CA, 1995, THESIS U NEW MEXICO
[10]   Distance measures to compare real and ideal quantum processes [J].
Gilchrist, A ;
Langford, NK ;
Nielsen, MA .
PHYSICAL REVIEW A, 2005, 71 (06)