Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method

碩士 === 國立清華大學 === 電機工程學系 === 93 === In this study, in order to specify quantum state to any desired state we need for the use of communication and computation, the quantum control system is formulated as a bilinear state space tracking system. An optimal tracking control is proposed to achieve state...

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Main Authors: Fan Hsu, 徐帆
Other Authors: Bor-Sen Chen
Format: Others
Language:en_US
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/85630876744262899349
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spelling ndltd-TW-093NTHU54420642016-06-06T04:11:35Z http://ndltd.ncl.edu.tw/handle/85630876744262899349 Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method 使用張量級數法設計量子系統的最佳追蹤控制 Fan Hsu 徐帆 碩士 國立清華大學 電機工程學系 93 In this study, in order to specify quantum state to any desired state we need for the use of communication and computation, the quantum control system is formulated as a bilinear state space tracking system. An optimal tracking control is proposed to achieve state-tracking by solving the Hamilton-Jacobi equation (HJE). In order to avoid the difficulty in solving the HJE with a closed-form solution, the technique of formal tensor power series is employed to treat the partial differential equation HJE to obtain the optimal tracking control in quantum systems from the approximate perspective. If the quantum system suffers from stochastic parameter variations, it could be modeled as state-dependent noise. In this situation, stochastic optimal tracking control design is also developed for quantum systems. Finally, several examples are given to illustrate the design procedure and proposed method. Bor-Sen Chen 陳博現 2005 學位論文 ; thesis 66 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 碩士 === 國立清華大學 === 電機工程學系 === 93 === In this study, in order to specify quantum state to any desired state we need for the use of communication and computation, the quantum control system is formulated as a bilinear state space tracking system. An optimal tracking control is proposed to achieve state-tracking by solving the Hamilton-Jacobi equation (HJE). In order to avoid the difficulty in solving the HJE with a closed-form solution, the technique of formal tensor power series is employed to treat the partial differential equation HJE to obtain the optimal tracking control in quantum systems from the approximate perspective. If the quantum system suffers from stochastic parameter variations, it could be modeled as state-dependent noise. In this situation, stochastic optimal tracking control design is also developed for quantum systems. Finally, several examples are given to illustrate the design procedure and proposed method.
author2 Bor-Sen Chen
author_facet Bor-Sen Chen
Fan Hsu
徐帆
author Fan Hsu
徐帆
spellingShingle Fan Hsu
徐帆
Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method
author_sort Fan Hsu
title Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method
title_short Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method
title_full Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method
title_fullStr Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method
title_full_unstemmed Optimal Tracking Control Design of Quantum Systems via Tensor Formal Power Series Method
title_sort optimal tracking control design of quantum systems via tensor formal power series method
publishDate 2005
url http://ndltd.ncl.edu.tw/handle/85630876744262899349
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