An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation
arXiv:1911.12994 · doi:10.1063/5.0003524
Abstract
In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the WKB method. In particular, we investigate the conjecture that if the classical system is not small-time controllable, then the corresponding quantum system is not small-time controllable either.