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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/381219 |
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| _version_ | 1832566737983242240 |
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| author | Yifan Xing Jun Wu |
| author_facet | Yifan Xing Jun Wu |
| author_sort | Yifan Xing |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-1b05965fac094190bb2c176523bc348b |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-1b05965fac094190bb2c176523bc348b2025-02-03T01:03:18ZengWileyThe 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 |
| spellingShingle | Yifan Xing Jun Wu Controlling the Shannon Entropy of Quantum Systems The Scientific World Journal |
| title | 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_short | Controlling the Shannon Entropy of Quantum Systems |
| title_sort | controlling the shannon entropy of quantum systems |
| url | http://dx.doi.org/10.1155/2013/381219 |
| work_keys_str_mv | AT yifanxing controllingtheshannonentropyofquantumsystems AT junwu controllingtheshannonentropyofquantumsystems |