Basis for STM solution of quantum control problems: Normalization and matrix representation

Yifan Xing; Xice Sun; Diyang Chu; Zhi Wang; Jun Wu

doi:10.1108/03684920910994097

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Basis for STM solution of quantum control problems: Normalization and matrix representation

Document Information:
Title:	Basis for STM solution of quantum control problems: Normalization and matrix representation
Author(s):	Yifan Xing, (National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hang Zhou, People's Republic of China), Xice Sun, (National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hang Zhou, People's Republic of China), Diyang Chu, (National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hang Zhou, People's Republic of China), Zhi Wang, (National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hang Zhou, People's Republic of China), Jun Wu, (National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hang Zhou, People's Republic of China)
Citation:	Yifan Xing, Xice Sun, Diyang Chu, Zhi Wang, Jun Wu, (2009) "Basis for STM solution of quantum control problems: Normalization and matrix representation", Kybernetes, Vol. 38 Iss: 10, pp.1729 - 1734
Keywords:	Cybernetics, Systems and control theory
Article type:	Technical paper
DOI:	10.1108/03684920910994097 (Permanent URL)
Publisher:	Emerald Group Publishing Limited
Abstract:	Purpose – This purpose of this paper is to present a new approach of solving quantum control problem. Design/methodology/approach – State-transition-matrix (STM) is used to solute quantum control problem. Findings – The paper obtains the matrix representation for wave function, normalization, and some other quantum operators, and then gives the possible methods to establish the STM model and solve it. Originality/value – Based on this, many tools of the widely used control theory can be adopted to denote or analyze the quantum system.