Analysis of Lyapunov Method for Control of Quantum Systems
Quantum Physics
2012-02-14 v2
Abstract
We present a detailed analysis of the convergence properties of Lyapunov control for finite-dimensional quantum systems based on the application of the LaSalle invariance principle and stability analysis from dynamical systems and control theory. For a certain class of ideal Hamiltonians, convergence results are derived both pure-state and mixed-state control, and the effectiveness of the method for more realistic Hamiltonians is discussed.
Cite
@article{arxiv.0801.0702,
title = {Analysis of Lyapunov Method for Control of Quantum Systems},
author = {Xiaoting Wang and Sonia G. Schirmer},
journal= {arXiv preprint arXiv:0801.0702},
year = {2012}
}
Comments
20 pages, 1 figure, draft version