@inproceedings{fac77133b91d483cba855fb8eaf6ef26,
title = "Parameter estimation of a 3-level quantum system with a single population measurement",
abstract = "An observer-based Hamiltonian identification algorithm for quantum systems has been recently proposed by two of the authors to estimate the dipole moment matrix of a quantum system requiring the measurement of the populations on all states. This could be experimentally difficult to achieve. We propose here an extension to a 3-level quantum system, having access to the population of the ground state only. By a suitable choice of the control field, we show that a continuous measurement of this population, alone, is enough to identify the field coupling parameters (dipole moment). Simulations with 20\% of noise on the measured population illustrate the robustness of the proposed estimation algorithm and confirm the convergence analysis.",
keywords = "Averaging, Nonlinear observers, Nonlinear systems, Parameter estimation, Quantum systems",
author = "Zaki Leghtas and Mazyar Mirrahimi and Pierre Rouchon",
year = "2009",
month = jan,
day = "1",
doi = "10.1109/CDC.2009.5400060",
language = "English",
isbn = "9781424438716",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3816--3820",
booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",
note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",
}