A computer program to simulate Einstein–Podolsky–Rosen–Bohm experiments with photons

Starting from the data gathering and analysis procedures used in Einstein–Podolsky–Rosen–Bohm experiments with photons, we construct a simulation algorithm that satisfies Einstein's criteria of local causality and realism and generates the same type of data as recorded in these idealized experiments. The simulation data is analyzed according to the experimental procedure to count coincidences, that is by using an expression for the coincidence counts that, besides depending on the settings of the variable polarizers, explicitly depends on the difference of the time tags of the detection signals in both observation stations and on an adjustable time window. We demonstrate that the simulation algorithm produces data that agrees with the two-particle correlation for the singlet state.