English

Flatness-based control of a single qubit gate

Optimization and Control 2016-11-18 v1

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.

Keywords

Cite

@article{arxiv.math/0701056,
  title  = {Flatness-based control of a single qubit gate},
  author = {P. S. Pereira da Silva and P. Rouchon},
  journal= {arXiv preprint arXiv:math/0701056},
  year   = {2016}
}

Comments

Submitted to IEEE AC. Simulation code available at http://cas.ensmp.fr/~rouchon/publications/PR2007/CodeMatlabScilabQubit.zip