English

A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schr\"odinger Equations with Bounded Coupling Terms

Optimization and Control 2013-03-08 v2 Quantum Physics

Abstract

This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative quantum systems in an infinite dimensional Hilbert space. The proof relies on classical geometric and averaging control techniques applied on finite dimensional approximation of the infinite dimensional system. The results are illustrated with the planar rotation of a linear molecule.

Keywords

Cite

@article{arxiv.1303.0298,
  title  = {A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schr\"odinger Equations with Bounded Coupling Terms},
  author = {Thomas Chambrion},
  journal= {arXiv preprint arXiv:1303.0298},
  year   = {2013}
}

Comments

6 pages, submitted