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

Q4 Mathematics

Confluentes Mathematici Pub Date : 2009-05-01 DOI:10.1142/S1793744209000055

R. Rebolledo

引用次数: 6

Abstract

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.

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解开量子系统:量子马尔可夫半群的经典约简和经典膨胀

本文报道了连接量子和经典马尔可夫半群的一些结果，以及它们的膨胀。本文提出的方法是在分析半群发生器结构的基础上提出的。特别是，测量值过程表现为给定量子马尔可夫半群的经典约简和经典膨胀的结合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.