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

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)

Kybernetes

ISSN: 0368-492X

Publication date: 16 October 2009

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.

Keywords

  • Systems and control theory
  • Cybernetics

Citation

Xing, Y., Sun, X., Chu, D., Wang, Z. and Wu, J. (2009), "Basis for STM solution of quantum control problems: Normalization and matrix representation", Kybernetes, Vol. 38 No. 10, pp. 1729-1734. https://doi.org/10.1108/03684920910994097

Download as .RIS

Publisher

:

Emerald Group Publishing Limited

Copyright © 2009, Emerald Group Publishing Limited

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