Generalized control of quantum systems in the frame of vector treatment

Article

DOI: 10.1007/s11768-009-7210-7

Cite this article as:
Kuang, S. & Cong, S. J. Control Theory Appl. (2009) 7: 395. doi:10.1007/s11768-009-7210-7

Abstract

For the state control problem in finite-dimensional quantum systems with any initial state and a goal eigenstate, this paper studies the design method of control laws via the Lyapunov technology and in the vector frame, which ensures the convergence of any initial state toward the goal state. The stability of the closed-loop system in the goal eigenstate is analyzed and proven via the invariance principle. The simulation experiment on a spin-1/2 system shows the effectiveness of the designed control laws.

Keywords

Closed quantum system Lyapunov technology Invariance principle Stability 

Copyright information

© South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of AutomationUniversity of Science and Technology of ChinaHefei AnhuiChina
  2. 2.Hefei National Laboratory for Physical Sciences at the MicroscaleHefei AnhuiChina

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