Controlling the Shannon Entropy of Quantum Systems. (30th May 2013)

• Record Type: Journal Article
• Authors: Xing, Yifan; Wu, Jun
• Other Names: Chen Chunlin Academic Editor.; Dong Daoyi Academic Editor.; Jiang Min Academic Editor.; Wang Lin-Cheng Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2013(2013)
• Publication Date: 2013-05-30
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2013/381219
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : 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.