A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schrödinger Equations with Bounded Coupling Terms

2013/03/01 by Thomas Chambrion, Chambrion, Thomas
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Quantum Physics (quant-ph) #math.OC #quant-ph

paper · pdf · doi:10.48550/arxiv.1303.0298

6 pages, submitted

arxiv created 2013/03/07 · arxiv updated 2013/03/08

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.

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