Linear reduced dynamics

Consider an open quantum, system interacting with its environment. Whether the reduced dynamics of the system   can be given by a linear map or not is an important question in the theory of open quantum systems. Dominy, Shabani and Lidar have proposed a general framework for linear Hermitian reduced...

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Main Author: I Sargolzahi
Format: Article
Language:English
Published: Isfahan University of Technology 2020-08-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/article_1615_139bfce0f47c77664bbd1a20cfe4a4c9.pdf
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spelling doaj-ca0481df06d14899b2dde5d3d679419c2020-11-28T12:47:28ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642020-08-0120226727210.47176/ijpr.20.2.310251615Linear reduced dynamicsI Sargolzahi01. Department of Physics, University of Neyshabur, Neyshabur, Iran 2. Research Department of Astronomy & Cosmology, University of Neyshabur, Neyshabur, IranConsider an open quantum, system interacting with its environment. Whether the reduced dynamics of the system   can be given by a linear map or not is an important question in the theory of open quantum systems. Dominy, Shabani and Lidar have proposed a general framework for linear Hermitian reduced dynamics. In addition, it has been shown that their framework is, in fact, the most general one: The reduced dynamics of the system is linear if and only if it can be formulated within the Dominy-Shabani-Lidar framework. This result has been given in a rather abstract way. Here, we want to give another proof for it, in a more illustrative manner.http://ijpr.iut.ac.ir/article_1615_139bfce0f47c77664bbd1a20cfe4a4c9.pdfopen quantum systemshermitian mapslinear maps
collection DOAJ
language English
format Article
sources DOAJ
author I Sargolzahi
spellingShingle I Sargolzahi
Linear reduced dynamics
Iranian Journal of Physics Research
open quantum systems
hermitian maps
linear maps
author_facet I Sargolzahi
author_sort I Sargolzahi
title Linear reduced dynamics
title_short Linear reduced dynamics
title_full Linear reduced dynamics
title_fullStr Linear reduced dynamics
title_full_unstemmed Linear reduced dynamics
title_sort linear reduced dynamics
publisher Isfahan University of Technology
series Iranian Journal of Physics Research
issn 1682-6957
2345-3664
publishDate 2020-08-01
description Consider an open quantum, system interacting with its environment. Whether the reduced dynamics of the system   can be given by a linear map or not is an important question in the theory of open quantum systems. Dominy, Shabani and Lidar have proposed a general framework for linear Hermitian reduced dynamics. In addition, it has been shown that their framework is, in fact, the most general one: The reduced dynamics of the system is linear if and only if it can be formulated within the Dominy-Shabani-Lidar framework. This result has been given in a rather abstract way. Here, we want to give another proof for it, in a more illustrative manner.
topic open quantum systems
hermitian maps
linear maps
url http://ijpr.iut.ac.ir/article_1615_139bfce0f47c77664bbd1a20cfe4a4c9.pdf
work_keys_str_mv AT isargolzahi linearreduceddynamics
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