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Flatness-based control of a single qubit gate

Abstract : This work considers the open-loop control problem of steering a two-level quantum system from any initial to any final condition. The model of this system evolves on the state space , 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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https://hal-mines-paristech.archives-ouvertes.fr/hal-00449253
Contributor : François Chaplais <>
Submitted on : Thursday, January 21, 2010 - 10:23:58 AM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM

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Paulo Sergio Pereira da Silva, Pierre Rouchon. Flatness-based control of a single qubit gate. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2008, 53 (3), pp.775 - 779. ⟨10.1109/TAC.2008.917650⟩. ⟨hal-00449253⟩

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