Controlling the Shannon Entropy of Quantum Systems

Controlling the Shannon Entropy of Quantum Systems

This paper proposes a new quantum control method which controls the Shannon entropy of quantum systems. For both discrete and continuous entropies, controller design methods are proposed based on probability density function control, which can drive the quantum state to any target state. To drive th...

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Main Authors: Yifan Xing, Jun Wu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/381219
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spelling doaj-1b05965fac094190bb2c176523bc348b2020-11-24T21:26:25ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/381219381219Controlling the Shannon Entropy of Quantum SystemsYifan Xing0Jun Wu1Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, ChinaInstitute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, ChinaThis paper proposes a new quantum control method which controls the Shannon entropy of quantum systems. For both discrete and continuous entropies, controller design methods are proposed based on probability density function control, which can drive the quantum state to any target state. To drive the entropy to any target at any prespecified time, another discretization method is proposed for the discrete entropy case, and the conditions under which the entropy can be increased or decreased are discussed. Simulations are done on both two- and three-dimensional quantum systems, where division and prediction are used to achieve more accurate tracking.http://dx.doi.org/10.1155/2013/381219
collection DOAJ
language English
format Article
sources DOAJ
author Yifan Xing
Jun Wu
spellingShingle Yifan Xing
Jun Wu
Controlling the Shannon Entropy of Quantum Systems
The Scientific World Journal
author_facet Yifan Xing
Jun Wu
author_sort Yifan Xing
title Controlling the Shannon Entropy of Quantum Systems
title_short Controlling the Shannon Entropy of Quantum Systems
title_full Controlling the Shannon Entropy of Quantum Systems
title_fullStr Controlling the Shannon Entropy of Quantum Systems
title_full_unstemmed Controlling the Shannon Entropy of Quantum Systems
title_sort controlling the shannon entropy of quantum systems
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description This paper proposes a new quantum control method which controls the Shannon entropy of quantum systems. For both discrete and continuous entropies, controller design methods are proposed based on probability density function control, which can drive the quantum state to any target state. To drive the entropy to any target at any prespecified time, another discretization method is proposed for the discrete entropy case, and the conditions under which the entropy can be increased or decreased are discussed. Simulations are done on both two- and three-dimensional quantum systems, where division and prediction are used to achieve more accurate tracking.
url http://dx.doi.org/10.1155/2013/381219
work_keys_str_mv AT yifanxing controllingtheshannonentropyofquantumsystems
AT junwu controllingtheshannonentropyofquantumsystems
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