  A discrete-event simulation approach is reviewed that does not require the
knowledge of the solution of the wave equation of the whole system, yet
reproduces the statistical distributions of wave theory by generating detection
events one-by-one. The simulation approach is illustrated by applications to a
two-beam interference experiment and two Bell test experiments, an
Einstein-Podolsky-Rosen- Bohm experiment with single photons employing
postselection for pair identification and a single-neutron Bell test
interferometry experiment with nearly 100% detection efficiency.
