  We study one- and two-body visibility measures under an optimization of
common, i.e. global evolutions of a two-body system, and identify two different
visibilities of two-body correlators, both behaving complementary to the usual
onebody interference visibility. We show that only one of them satisfies the
common inequality associated with a complementary relation, while the other one
entails a contrary relation. This, however, can be understood in terms of
entanglement between the constituents.
