Experimental verification of the inertial theorem control protocols

An experiment based on a trapped ytterbium ion validates the inertial theorem for SU(2) algebra. The qubit is encoded within hyperfine states of atom and controlled by RF fields. generates analytical solutions non-adiabatically driven systems that are 'accelerated' slowly, bridging gap between sudden adiabatic limits. These shown to be stable small deviations, both experimentally theoretically. By encoding two-level system into hyperphine structure ytterbium, we explore high control over dynamics in order validate range applicability our system. For large deviations from condition, experimental results show phase remains accurate while amplitude diverges, so has good robustness estimate. As result, showed pave way rapid quantum closed, as well open systems.