  A discrete-event approach, which has already been shown to give a
cause-and-effect explanation of many quantum optics experiments, is applied to
single-neutron interferometry experiments. The simulation algorithm yields a
logically consistent description in terms of individual neutrons and does not
require the knowledge of the solution of a wave equation. It is shown that the
simulation method reproduces the results of several single-neutron
interferometry experiments, including experiments which, in quantum theoretical
language, involve entanglement. Our results demonstrate that classical
(non-Hamiltonian) systems can exhibit correlations which in quantum theory are
associated with interference and entanglement, also when all particles emitted
by the source are accounted for.
