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Flatness-based control of a single qubit gate

P. S. Pereira da Silva·P. Rouchon
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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 SU(2), having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.

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P. S. Pereira da Silva, P. Rouchon. 2007-01-02. Flatness-based control of a single qubit gate. https://doi.org/10.1109/tac.2008.917650

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