Francesco Petiziol — Università di Parma # Superadiabatic control of quantum dynamics # Many quantum systems burn down to idealized few level systems in some approximation. We propose to study the possibilities of fully controlling the coupling of quantum states and qubits. This includes the extension of quantum control protocols from two to three (or more) level systems and to coherent sequences of Landau-Zener (LZ) transitions. Having at hand such protocols would allow, for instance, perfect adiabaticity, optimal robustness and speed-up of LZ transitions. Direct experimental applications are in sight for quantum simulation and quantum chaos control in a wide range of systems, from molecular magnets to ultracold atoms.