Two complementary observables can be measured simultaneously so that the
exact individual distributions can be recovered by a proper data inversion. We
apply this program to the paradigmatic example of the Young interferometer from
the classical and quantum points of view. We show complete parallelism between
complementarity in the quantum and classical theories. In both domains,
complementarity manifests in a pathological behavior for the inferred joint
distribution.Comment: 6 pages, 2 figure
