Finite-time stability of quantum systems governed by Schrödinger’s equation

Abstract

In this paper, we investigate the finite-time stability (FTS) and finite-time boundedness (FTB) of quantum systems which are governed by Schrödinger’s equation. We first study the FTS and FTS at one target state and propose new results for the mentioned quantum systems in the form of sufficient conditions. Then, we present sufficient conditions for the FTB and FTB at one target state in terms of matrix inequalities. One numerical simulation is presented to illustrate the effectiveness of the obtained theoretical result.

Keywords:

• quantum systems
• finite-time stability
• finite-time boundedness
• Schrödinger’s equation

Acknowledgements

The authors would like to thank the editor and the reviewers for their constructive comments and suggestions to improve the quality of the paper. This work is supported by the National Natural Science Foundation of China under Grants 61174039, the Fundamental Research Funds for the Central Universities of China, the Leading Academic Discipline Project of Shanghai Dianji University under Grant No. 10XKJ01 and China Scholarship Council.