An observer-based Hamiltonian identification algorithm for quantum systems is proposed. For the 2-level case an exponential convergence result based on averaging arguments and some relevant transformations is provided. The convergence for multi-level cases is discussed using some heuristic arguments and the relevance of the method is tested via simulations. Finally, the robustness issue with respect to non-negligible uncertainties and experimental noises is also addressed on simulations.
@article{arxiv.math-ph/0703024,
title = {Observer-based Hamiltonian identification for quantum systems},
author = {Mazyar Mirrahimi and Pierre Rouchon},
journal= {arXiv preprint arXiv:math-ph/0703024},
year = {2007}
}