Hybrid Impulsive Control for Closed Quantum Systems

The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the larges...

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Main Authors: Zhao, Shouwei, Sun, Jitao, Lin, Hai
Format: Online
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679820/
id pubmed-3679820
recordtype oai_dc
spelling pubmed-36798202013-06-18 Hybrid Impulsive Control for Closed Quantum Systems Zhao, Shouwei Sun, Jitao Lin, Hai Research Article The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the largest invariant sets are explicitly characterized, and the convergence of quantum impulsive control systems is analyzed accordingly. Numerical simulation is also presented to demonstrate the improvement of the control performance. Hindawi Publishing Corporation 2013-05-28 /pmc/articles/PMC3679820/ /pubmed/23781158 http://dx.doi.org/10.1155/2013/545091 Text en Copyright © 2013 Shouwei Zhao et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Zhao, Shouwei
Sun, Jitao
Lin, Hai
spellingShingle Zhao, Shouwei
Sun, Jitao
Lin, Hai
Hybrid Impulsive Control for Closed Quantum Systems
author_facet Zhao, Shouwei
Sun, Jitao
Lin, Hai
author_sort Zhao, Shouwei
title Hybrid Impulsive Control for Closed Quantum Systems
title_short Hybrid Impulsive Control for Closed Quantum Systems
title_full Hybrid Impulsive Control for Closed Quantum Systems
title_fullStr Hybrid Impulsive Control for Closed Quantum Systems
title_full_unstemmed Hybrid Impulsive Control for Closed Quantum Systems
title_sort hybrid impulsive control for closed quantum systems
description The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the largest invariant sets are explicitly characterized, and the convergence of quantum impulsive control systems is analyzed accordingly. Numerical simulation is also presented to demonstrate the improvement of the control performance.
publisher Hindawi Publishing Corporation
publishDate 2013
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679820/
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