Discrete approximation of quantum stochastic models

被引：8

作者：

Bouten, Luc ^{[1
]}

Van Handel, Ramon ^{[2
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Princeton Univ, Dept Operat Res & Financial Engn, Princeton, NJ 08544 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 10期

关键词：

D O I：

10.1063/1.3001109

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a general technique for proving convergence of repeated quantum interactions to the solution of a quantum stochastic differential equation. The wide applicability of the method is illustrated in a variety of examples. Our main theorem, which is based on the Trotter-Kato theorem, is not restricted to a specific noise model and does not require boundedness of the limit coefficients. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.3001109]

引用

页数：19

共 30 条

[1] THE WEAK-COUPLING LIMIT AS A QUANTUM FUNCTIONAL CENTRAL LIMIT [J].