4.7 Article

Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 54, Issue 11, Pages 2598-2610

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2009.2031212

Keywords

Conjugate and cut loci; quantum control; time optimal control

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The objective of this article is to complete preliminary results from [5], [17] 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 3-D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.

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