@article {2013,
	title = {Stabilization of Stochastic Quantum Dynamics via Open and Closed Loop Control},
	journal = {IEEE Transactions on Automatic Control. Volume 58, Issue 1, 2013, Article number6228517, Pages 74-85},
	year = {2013},
	abstract = {In this paper, we investigate parametrization-free solutions of the problem of quantum pure state preparation and subspace stabilization by means of Hamiltonian control, continuous measurement, and quantum feedback, in the presence of a Markovian environment. In particular, we show that whenever suitable dissipative effects are induced either by the unmonitored environment, or by non-Hermitian measurements, there is no need for feedback, as open-loop time-invariant control is sufficient to achieve stabilization of the target set in probability. Constructive necessary and sufficient conditions on the form of the control Hamiltonian can be provided in this case. When time-invariant control is not sufficient, state stabilization can be attained by the addition of filtering-based feedback control},
	doi = {10.1109/TAC.2012.2206713},
	url = {http://hdl.handle.net/1963/6503},
	author = {Claudio Altafini and Francesco Ticozzi and K. Nishio}
}
@article {2012,
	title = {Modeling and control of quantum systems: An introduction},
	journal = {IEEE Transactions on Automatic Control. Volume 57, Issue 8, 2012, Article number6189035, Pages 1898-1917},
	year = {2012},
	publisher = {Institute of Electrical and Electronics Engineers},
	abstract = {The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well as a brief survey on the main approaches to control synthesis. While part of the existing theory, especially in the open-loop setting, stems directly from classical control theory (most notably geometric control and optimal control), a number of tools specifically tailored for quantum systems have been developed since the 1980s, in order to take into account their distinctive features: the probabilistic nature of atomic-scale physical systems, the effect of dissipation and the irreversible character of the measurements have all proved to be critical in feedback-design problems. The relevant dynamical models for both closed and open quantum systems are presented, along with the main results on their controllability and stability. A brief review of several currently available control design methods is meant to provide the interested reader with a roadmap for further studies},
	doi = {10.1109/TAC.2012.2195830},
	url = {http://hdl.handle.net/1963/6505},
	author = {Claudio Altafini and Francesco Ticozzi}
}
@article {2006,
	title = {Almost Global Stochastic Feedback Stabilization of Conditional Quantum Dynamics},
	number = {SISSA;80/2005/M},
	year = {2006},
	abstract = {We propose several parametrization-free solutions to the problem of quantum state reduction control by means of continuous measurement and smooth quantum feedback. In particular, we design a feedback law for which almost global stochastic feedback stabilization can be proved analytically by means of Lyapunov techinques. This synthesis arises very naturally from the physics of the problem, as it relies on the variance associated with the quantum filtering process.},
	url = {http://hdl.handle.net/1963/1727},
	author = {Claudio Altafini and Francesco Ticozzi}
}
