CONSTRUCTING QUANTUM MEASUREMENT PROCESSES VIA CLASSICAL STOCHASTIC CALCULUS

被引：68

作者：

BARCHIELLI, A

HOLEVO, AS

机构：

[1] IST NAZL FIS NUCL, SEZ MILANO, I-20133 MILAN, ITALY

[2] RUSSIAN ACAD SCI, STEKLOV MATH INST, MOSCOW 117966, RUSSIA

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1995年 / 58卷 / 02期

关键词：

NONLINEAR STOCHASTIC SCHRODINGER EQUATION; QUANTUM EVOLUTION; QUANTUM MEASURING PROCESS; QUANTUM FILTERING; STOCHASTIC DIFFERENTIAL EQUATIONS AND CHANGES OF MEASURE;

D O I：

10.1016/0304-4149(95)00011-U

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A class of linear stochastic differential equations in Hilbert spaces is studied, which allows to construct probability densities and to generate changes in the probability measure one started with. Related linear equations for trace-class operators are discussed. Moreover, some analogue of filtering theory gives rise to related non-linear stochastic differential equations in Hilbert spaces and in the space of trace-class operators. Finally, it is shown how all these equations represent a new formulation and a generalization of the theory of measurements continuous in time in quantum mechanics.

引用

页码：293 / 317

页数：25

共 34 条

[1] QUANTUM STOCHASTIC CALCULUS, OPERATION VALUED STOCHASTIC-PROCESSES, AND CONTINUAL MEASUREMENTS IN QUANTUM-MECHANICS [J].