Particle-based simulation approach for single-particle interference experiments: Application to double-slit experiments

We review recent progress in the development of event-by-event simulation algorithms that do not rely on concepts of quantum theory or probability theory but are nevertheless capable of reproducing the averages computed from quantum theory. The simulation approach is illustrated by applications to single-photon double-slit experiments. We demonstrate that it is possible to give a particle-only description of single-photon interference experiments without first solving a wave equation