We discuss the impact of ideas of open quantum systems and quantum information to various facets of neutrino and neutral meson oscillations. These oscillations are characterized by a number of quantum correlations, both spatial as well as temporal. For neutrinos, the correlations are shown to be simple functions of the product of neutrino survival and oscillation probabilities. The quantum correlations in the neutral mesons are seen to be non-trivially different from their stable counterparts.