Small time reachable set of bilinear quantum systems

Abstract

This note presents an example of bilinear conservative system in an infinite dimensional Hilbert space for which approximate controllability in the Hilbert unit sphere holds for arbitrary small times. This situation is in contrast with the finite dimensional case and is due to the unboundedness of the drift operator.

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Cited by in corpus (4)

• Numerical estimation of reachable and controllability sets for a two-level open quantum system driven by coherent and incoherent controls
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Small-time local controllability of the bilinear Schrödinger equation, despite a quadratic obstruction, thanks to a cubic term
• An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation