In order to assess the performance of various surfacehopping procedures, including SHXF, Maitra and coworkers presented an in-depth analysis of the photodynamics of ethylene, fulvene and the methaniminium cation employing ab initio multiple spawning as benchmark 256 . Specifically, the work analyzed various decoherence-correction schemes, which are found to operate in very different ways on the individual trajectories while yielding comparable results when averaged over the trajectories. In addition, the choice of the velocity-rescaling algorithm as well as the influence of nuclear time step for the propagation were studied as they were found to have an equally, if not more, important role on electronic and nuclear properties compared to the decoherence correction. Finally, Maitra and coworkers showed that the rigorous account of decoherence via the quantum momentum in exact-facatorization based methods, among which SHXF, is essential to capture the dynamics of the uracil cation as it is driven by a three-state conical intersection, that cannot be correctly captured using pairwise accounts of the decoherence effects .