Controlling the size of the solution of a (deterministic, stochastic or quantum stochastic) differential equation, by minimizing an appropriate cost functional, is very important in classical and quantum engineering. Of particular importance is the case of linear differential equations and quadratic cost functionals, since in that case the control processes can be explicitly calculated. In this paper we review some basic aspects of the classical theory and we present our results in the quantum case, obtained over the past few years.

Accardi, L., Boukas, A. (2003). From classical to quantum quadratic cost control. In T. Hida, K. Saito, Si Si (a cura di), Quantum information and complexity (pp. 106-118). Singapore : World Scientific Publishing Co. Pte. Ltd..

From classical to quantum quadratic cost control

ACCARDI, LUIGI;
2003-01-01

Abstract

Controlling the size of the solution of a (deterministic, stochastic or quantum stochastic) differential equation, by minimizing an appropriate cost functional, is very important in classical and quantum engineering. Of particular importance is the case of linear differential equations and quadratic cost functionals, since in that case the control processes can be explicitly calculated. In this paper we review some basic aspects of the classical theory and we present our results in the quantum case, obtained over the past few years.
2003
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
Rilevanza internazionale
Capitolo o saggio
Proceedings of the International Winter School on Quantum information and complexity, January 6-10 2003, Meijo University, Japan
Accardi, L., Boukas, A. (2003). From classical to quantum quadratic cost control. In T. Hida, K. Saito, Si Si (a cura di), Quantum information and complexity (pp. 106-118). Singapore : World Scientific Publishing Co. Pte. Ltd..
Accardi, L; Boukas, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/83348
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