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

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.

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

References in corpus (4)

• Time Minimal Trajectories for a Spin 1/2 Particle in a Magnetic Field
• Time-optimal control of a two-level dissipative quantum system
• Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case
• Orbits of quantum states and geometry of Bloch vectors for $N$-level systems

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