Environment Decoherence of Quantum Exclusion Semigroups in Terms of Quantum Bernoulli Noises

被引：0

作者：

Chen, Jinshu ^{[1
]}

Hai, Shexiang ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China

来源：

OPEN SYSTEMS & INFORMATION DYNAMICS | 2024年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quantum Markov semigroup; quantum Bernoulli noise; environment induced docoherence; Markov process;

D O I：

10.1142/S123016122450001X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the environment induced decoherence of quantum exclusion semigroups constructed by quantum Bernoulli noises. We first study the structure of the decoherence-free algebra and discuss some of its properties, and give the conditions for its possible mutual inclusions with the set of fixed points. Then we describe the structure of the set of fixed points and use the new results obtained here to discuss the environment induced decoherence properties of the semigroup.

引用

页数：21

共 43 条

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[42] The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert C~*-module l2(A)
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[43] ExponentialL2-convergence of quantum Markov semigroups on\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{B}(h)$$ \end{document}
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