Multiple-copy two-state discrimination with individual measurements -: art. no. 032338

被引:72
作者
Acín, A
Bagan, E
Baig, M
Masanes, L
Muñoz-Tapia, R
机构
[1] ICFO Inst Ciencias Foton, Barcelona 08034, Spain
[2] Univ Autonoma Barcelona, Fis Teor Grp, E-08193 Barcelona, Spain
[3] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
[4] Univ Barcelona, Dept Estructura & Constituents Mat, E-08028 Barcelona, Spain
关键词
D O I
10.1103/PhysRevA.71.032338
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We address the problem of nonorthogonal two-state discrimination when multiple copies of the unknown state are available. We give the optimal strategy when only fixed individual measurements are allowed and show that its error probability saturates the collective (lower) bound asymptotically. We also give the optimal strategy when adaptivity of individual von Neumann measurements is allowed (which requires classical communication) and show that the corresponding error probability is exactly equal to the collective one for any number of copies. We show that this strategy can be regarded as Bayesian updating.
引用
收藏
页数:5
相关论文
共 21 条
[1]  
ACIN A, QUANTPH0411092
[2]   Ancilla-assisted quantum process tomography [J].
Altepeter, JB ;
Branning, D ;
Jeffrey, E ;
Wei, TC ;
Kwiat, PG ;
Thew, RT ;
O'Brien, JL ;
Nielsen, MA ;
White, AG .
PHYSICAL REVIEW LETTERS, 2003, 90 (19) :4
[3]   Optimal scheme for estimating a pure qubit state via local measurements -: art. no. 277904 [J].
Bagan, E ;
Baig, M ;
Muñoz-Tapia, R .
PHYSICAL REVIEW LETTERS, 2002, 89 (27) :277904-277904
[4]   Accessible information in combined and sequential quantum measurements on a binary-state signal [J].
Ban, M ;
Yamazaki, K ;
Hirota, O .
PHYSICAL REVIEW A, 1997, 55 (01) :22-26
[5]   QUANTUM CRYPTOGRAPHY USING ANY 2 NONORTHOGONAL STATES [J].
BENNETT, CH .
PHYSICAL REVIEW LETTERS, 1992, 68 (21) :3121-3124
[6]   Minimum decision cost for quantum ensembles [J].
Brody, D ;
Meister, B .
PHYSICAL REVIEW LETTERS, 1996, 76 (01) :1-5
[7]   Quantum state discrimination [J].
Chefles, A .
CONTEMPORARY PHYSICS, 2000, 41 (06) :401-424
[8]  
Cover TM., 1991, WILEY SERIES TELECOM, P63
[9]   Quantum-state estimation by self-learning measurements [J].
Fischer, DG ;
Kienle, SH ;
Freyberger, M .
PHYSICAL REVIEW A, 2000, 61 (03) :6
[10]  
GILL RD, 2002, PHYS REV A, V61