Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case

Details Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case

2008-09-24

arxiv.org/abs/0809.4138v1

Physics

Mathematical Physics

24 pages, 16 figures. submitted to IEEE transactions on automatic control

Scientific paper

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.

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