Strong converse to the quantum channel coding theorem

被引:117
作者
Ogawa, T [1 ]
Nagaoka, H [1 ]
机构
[1] Univ Electrocommun, Grad Sch Informat Syst, Chofu, Tokyo 1828585, Japan
关键词
average error probability; quantum channel coding theorem; strong converse;
D O I
10.1109/18.796386
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A lower bound on the probability of decoding error for a quantum communication channel is presented, from which the strong converse to the quantum channel coding theorem is immediately shown, The results and their derivations are mostly straightforward extensions of the classical counterparts which were established by Arimoto, except that more careful treatment is necessary here due to the noncommutativity of operators.
引用
收藏
页码:2486 / 2489
页数:4
相关论文
共 20 条
[1]  
[Anonymous], 1996, Matrix Analysis
[2]   CONVERSE TO CODING THEOREM FOR DISCRETE MEMORYLESS CHANNELS [J].
ARIMOTO, S .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1973, 19 (03) :357-359
[3]  
BURNASHEV MV, 1997, QUANTPH9703013 LANL
[4]   Operational capacity and pseudoclassicality of a quantum channel [J].
Fujiwara, A ;
Nagaoka, H .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (03) :1071-1086
[5]   A SIMPLE DERIVATION OF THE CODING THEOREM AND SOME APPLICATIONS [J].
GALLAGER, RG .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1965, 11 (01) :3-18
[6]   JENSEN INEQUALITY FOR OPERATORS AND LOWNER THEOREM [J].
HANSEN, F ;
PEDERSEN, GK .
MATHEMATISCHE ANNALEN, 1982, 258 (03) :229-241
[7]   Classical information capacity of a quantum channel [J].
Hausladen, P ;
Jozsa, R ;
Schumacher, B ;
Westmoreland, M ;
Wootters, WK .
PHYSICAL REVIEW A, 1996, 54 (03) :1869-1876
[8]  
Holevo A. S., 1973, PROBL PEREDACHI INF, V9, P177
[9]   The capacity of the quantum channel with general signal states [J].
Holevo, AS .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (01) :269-273
[10]  
HOLEVO AS, 1996, QUANTPH9611023 LANL