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State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System
In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515280/ https://www.ncbi.nlm.nih.gov/pubmed/33267465 http://dx.doi.org/10.3390/e21080751 |
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author | Harraz, Sajede Cong, Shuang |
author_facet | Harraz, Sajede Cong, Shuang |
author_sort | Harraz, Sajede |
collection | PubMed |
description | In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum systems, and the continuous measurement operators are derived according to the dynamic equation of system. The feedback control law is designed based on the Lyapunov stability theorem, and a strict proof of proposed control laws are given. At each sampling time, the state is estimated on-line, which is used to design the control law. The simulation experimental results show the effectiveness of the proposed feedback control strategy. |
format | Online Article Text |
id | pubmed-7515280 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75152802020-11-09 State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System Harraz, Sajede Cong, Shuang Entropy (Basel) Article In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum systems, and the continuous measurement operators are derived according to the dynamic equation of system. The feedback control law is designed based on the Lyapunov stability theorem, and a strict proof of proposed control laws are given. At each sampling time, the state is estimated on-line, which is used to design the control law. The simulation experimental results show the effectiveness of the proposed feedback control strategy. MDPI 2019-07-31 /pmc/articles/PMC7515280/ /pubmed/33267465 http://dx.doi.org/10.3390/e21080751 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Harraz, Sajede Cong, Shuang State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System |
title | State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System |
title_full | State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System |
title_fullStr | State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System |
title_full_unstemmed | State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System |
title_short | State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System |
title_sort | state transfer via on-line state estimation and lyapunov-based feedback control for a n-qubit system |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515280/ https://www.ncbi.nlm.nih.gov/pubmed/33267465 http://dx.doi.org/10.3390/e21080751 |
work_keys_str_mv | AT harrazsajede statetransferviaonlinestateestimationandlyapunovbasedfeedbackcontrolforanqubitsystem AT congshuang statetransferviaonlinestateestimationandlyapunovbasedfeedbackcontrolforanqubitsystem |