UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL REDUCTIONS AND CLASSICAL DILATIONS OF QUANTUM MARKOV SEMIGROUPS

Confluentes Mathematici

REBOLLEDO, ROLANDO¹ 

[1] Centro de Análisis Estocástico y Aplicaciones, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Vic. Mackenna 4860, Santiago, 7820436 Macul, Chile

关键词: Quantum Markov semigroups and flows;    classical reductions;    classical dilations;    stochastic Schrödinger equations;    unraveling;   

DOI  :  10.1142/S1793744209000055

学科分类：数学（综合）

来源: World Scientific Publishing Co. Pte. Ltd.

【 摘 要 】

A number of results connecting quantum and classical Markov semigroups, as well as their dilations is reported. The method presented here is based on the analysis of the structure of the semigroup generator. In particular, measure-valued processes appear as a combination of classical reduction and classical dilation of a given quantum Markov semigroup.

【 授权许可】

Unknown