Minimax discrimination of two Pauli channels

被引:23
作者
D'Ariano, GM [1 ]
Sacchi, MF
Kahn, J
机构
[1] INFM, QUIT Grp, Unita Pavia, I-27100 Pavia, Italy
[2] Univ Pavia, Dipartimento Fis A Volta, I-27100 Pavia, Italy
[3] Univ Paris Sud 11, Dept Math, F-91405 Orsay, France
来源
PHYSICAL REVIEW A | 2005年 / 72卷 / 05期
关键词
D O I
10.1103/PhysRevA.72.052302
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider the problem of optimally discriminating two Pauli channels in the minimax strategy, maximizing the smallest of the probabilities of correct identification of the channel. We find the optimal input state at the channel and show the conditions under which using entanglement strictly enhances distinguishability. We finally compare the minimax strategy with the Bayesian one.
引用
收藏
页数:7
相关论文
共 28 条
[1]   Multiple-copy two-state discrimination with individual measurements -: art. no. 032338 [J].
Acín, A ;
Bagan, E ;
Baig, M ;
Masanes, L ;
Muñoz-Tapia, R .
PHYSICAL REVIEW A, 2005, 71 (03)
[2]   Statistical distinguishability between unitary operations -: art. no. 177901 [J].
Acín, A .
PHYSICAL REVIEW LETTERS, 2001, 87 (17)
[3]  
Aharonov D., 1998, Proceedings of the Thirtieth Annual ACM Symposium on Theory of Computing, P20, DOI 10.1145/276698.276708
[4]  
[Anonymous], 2002, LOS ALAMOS SCI
[5]  
[Anonymous], 1986, COMPLETELY BOUNDED M
[6]   Operational distance and fidelity for quantum channels [J].
Belavkin, VP ;
D'Ariano, GM ;
Raginsky, M .
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (06)
[7]  
Bergou JA, 2004, LECT NOTES PHYS, V649, P417
[8]   STATISTICAL DISTANCE AND THE GEOMETRY OF QUANTUM STATES [J].
BRAUNSTEIN, SL ;
CAVES, CM .
PHYSICAL REVIEW LETTERS, 1994, 72 (22) :3439-3443
[9]   Unambiguous discrimination between linearly independent quantum states [J].
Chefles, A .
PHYSICS LETTERS A, 1998, 239 (06) :339-347
[10]  
Chefles A, 2004, LECT NOTES PHYS, V649, P467