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Parameter estimation of a 3-level quantum system with a single population measurement

Authors: Zaki Leghtas, Mazyar Mirrahimi, Pierre Rouchon, 48th IEEE Conference on Decision and Control, pp: 3816-3820, 2009 DOI: 10.1109/CDC.2009.5400060
An observer-based Hamiltonian identification al- gorithm for quantum systems has been proposed in [2]. The later paper provided a method to estimate the dipole moment matrix of a quantum system requiring the measurement of the populations on all states, which 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 more adapted choice of the control field, we will show that a continuous measurement of this observable, alone, is enough to identify the field coupling parameters (dipole moment).
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BibTeX:
@Proceedings{,
author = {Zaki Leghtas, Mazyar Mirrahimi, Pierre Rouchon},
editor = {},
title = {Parameter estimation of a 3-level quantum system with a single population measurement},
booktitle = {48th IEEE Conference on Decision and Control, pp: 3816-3820, 2009},
volume = {},
publisher = {},
address = {Shanghai},
pages = {3816-3820},
year = {2009},
abstract = {An observer-based Hamiltonian identification al- gorithm for quantum systems has been proposed in [2]. The later paper provided a method to estimate the dipole moment matrix of a quantum system requiring the measurement of the populations on all states, which 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 more adapted choice of the control field, we will show that a continuous measurement of this observable, alone, is enough to identify the field coupling parameters (dipole moment).},
keywords = {Nonlinear systems, quantum systems, parameter estimation, nonlinear observers, averaging.}}