Title :
Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case
Author :
Bonnard, Bernard ; Chyba, Monique ; Sugny, Dominique
Author_Institution :
Inst. de Math. de Bourgogne, Dijon, France
Abstract :
The objective of this article is to complete preliminary results from the work of Bonnard and Sugny (2009) and Sugny et al. (2007), concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. The extremal system is described by a 3D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.
Keywords :
discrete time systems; geometry; optimal control; quantum theory; 3D-Hamiltonian; Lindblad equation; dissipative two-level quantum system; geometric technique; numerical simulation; quantum control; time optimal control; time-minimal control; Control systems; Equations; Laser modes; Laser theory; Magnetic fields; Mathematics; Numerical simulation; Optical control; Optimal control; Polarization; Conjugate and cut loci; quantum control; time optimal control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2031212
