Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case
Mathematical Physics
2016-11-17 v1 math.MP
Abstract
The objective of this article is to complete preliminary results concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by Lindblad equations. 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.
Cite
@article{arxiv.0809.4138,
title = {Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case},
author = {B. Bonnard and M. Chyba and D. Sugny},
journal= {arXiv preprint arXiv:0809.4138},
year = {2016}
}
Comments
24 pages, 16 figures. submitted to IEEE transactions on automatic control