Title :
Flatness-based control of a single qubit gate
Author :
Pereira da Silva, Paulo Sergio ; Rouchon, Pierre
Author_Institution :
Dept. Eng. Telec. e Controle, Univ. de Sao Paulo, Sao Paulo, Brazil
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.
Keywords :
discrete systems; geometry; open loop systems; state-space methods; Hadamard gate; flatness based control; fully geometric setting; open-loop control problem; resonant laser field; single qubit gate; state space; symmetry preserving flat output; two level quantum system; Equations; Logic gates; Orbits; Planning; Quaternions; Simulation; Trajectory; Hadamard gate; Quantum control; flatness; geometric control; nonlinear systems;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
