Abstract
This work considers the open-loop control problem of steering a two level quantum system, from an initial to a final condition. The model of this system evolves on the state space X = SU(2), having two inputs that corresponds to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric setting. Using a particular parametrization, some simulation results of the flatness based control are presented for the Hadamard gate.
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