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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Detalles Bibliográficos
Autores principales: Zhao, Shouwei, Sun, Jitao, Lin, Hai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679820/
https://www.ncbi.nlm.nih.gov/pubmed/23781158
http://dx.doi.org/10.1155/2013/545091
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author Zhao, Shouwei
Sun, Jitao
Lin, Hai
author_facet Zhao, Shouwei
Sun, Jitao
Lin, Hai
author_sort Zhao, Shouwei
collection PubMed
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.
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spelling pubmed-36798202013-06-18 Hybrid Impulsive Control for Closed Quantum Systems Zhao, Shouwei Sun, Jitao Lin, Hai ScientificWorldJournal 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.
spellingShingle Research Article
Zhao, Shouwei
Sun, Jitao
Lin, Hai
Hybrid Impulsive Control for Closed Quantum Systems
title 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_short Hybrid Impulsive Control for Closed Quantum Systems
title_sort hybrid impulsive control for closed quantum systems
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679820/
https://www.ncbi.nlm.nih.gov/pubmed/23781158
http://dx.doi.org/10.1155/2013/545091
work_keys_str_mv AT zhaoshouwei hybridimpulsivecontrolforclosedquantumsystems
AT sunjitao hybridimpulsivecontrolforclosedquantumsystems
AT linhai hybridimpulsivecontrolforclosedquantumsystems

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