On analysis of quantum amplifier processes by quantum capacity

被引：2
作者：
Furuichi, S
Ohya, M
Oshima, K
机构：
[1] Tokyo Univ Sci, Fac Sci & Engn, Onoda 756, Japan
[2] Univ Tokyo, Dept Informat Sci Sci, Tokyo, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 38卷 / 01期
关键词：
quantum amplifier processes; quantum channel; lifting; quantum mutual entropy; quantum capacity;
D O I：
10.1016/S0362-546X(98)00248-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Quantum capacity expresses an ability of information transmission of a quantum channel itself, so that it is free from the method of coding a message treated as a classical object. Starting with an arbitrary quantum state, the supremum of the quantum mutual entropy is used to define the quantum capacity. The quantum capacity is derived when the quantum amplifier channel is fixed, and its numerical computation is shown. Mathematical concepts in quantum information theory, such as quantum channel, lifting, quantum mutual entropy and quantum capacity are briefly reviewed. The lifting expression for quantum amplifier processes is shown and the error probability for the gain of quantum amplifier processes is rigorously derived.
引用
收藏
页码：13 / 26
页数：14
相关论文
共 20 条
  • [11] Ohya M., 1995, Reports on Mathematical Physics, V36, P403, DOI 10.1016/0034-4877(96)83635-4
  • [12] NOTE ON QUANTUM PROBABILITY
    OHYA, M
    [J]. LETTERE AL NUOVO CIMENTO, 1983, 38 (11): : 402 - 404
  • [13] ON COMPOUND STATE AND MUTUAL INFORMATION IN QUANTUM INFORMATION-THEORY
    OHYA, M
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1983, 29 (05) : 770 - 774
  • [14] Ohya M., 1989, Reports on Mathematical Physics, V27, P19, DOI 10.1016/0034-4877(89)90034-7
  • [15] OHYA M, FUNDAMENTALS QUANTUM
  • [16] Ohya M., 1993, QUANTUM ENTROPY ITS
  • [17] OHYA M, CAPACITIES QUANTUM C
  • [18] SUDARSHAN ECG, 1963, PHYS REV LETT, V10, P277
  • [19] Walls D. F., 1994, QUANTUM OPTICS
  • [20] YUEN HP, 1976, PHYS REV A, V13, P2226, DOI 10.1103/PhysRevA.13.2226
12