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

fYear

2007

fDate

2-5 July 2007

Firstpage

1792

Lastpage

1797

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7068575

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2161707