Quantum Random Walks and Thermalisation

被引:3
|
作者
Belton, Alexander C. R. [1 ]
机构
[1] Univ Lancaster, Dept Math & Stat, Lancaster LA1 4YF, England
关键词
COCYCLES; APPROXIMATION; EXISTENCE;
D O I
10.1007/s00220-010-1122-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown how to construct quantum random walks with particles in an arbitrary faithful normal state. A convergence theorem is obtained for such walks, which demonstrates a thermalisation effect: the limit cocycle obeys a quantum stochastic differential equation without gauge terms. Examples are presented which generalise that of Attal and Joye (J Funct Anal 247:253-288, 2007).
引用
收藏
页码:317 / 329
页数:13
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