The preceding two sections encapsulate the research which has been performed and the contributions that have been made by the author of this thesis to advance the state of the art in Wigner Monte Carlo simulations over the course of approximately three years. The optimization of the algorithmic implementation of the signed-particle method has significantly increased its accuracy. Moreover, the development of a reliable simulation tool which can be run in a high performance computing environment presents a major step forward. These two facts combined, now enable the investigation of many interesting problems through the ability to simulate time-resolved quantum transport in two-dimensional structures with scattering mechanisms.