  Reality of quantum observables, a feature of long-standing interest within
foundations of quantum mechanics, has recently been quantified and deeply
studied by means of entropic measures [Phys. Rev. A 97, 022107 (2018)].
However, there is no state-independent "reality trade-off" between noncommuting
observables, as in certain systems all observables are real [Europhys. Lett.
112, 40005 (2015)]. We show that the entropic uncertainty relation in the
presence of quantum memory [Nature Phys. 6, 659 (2010)] perfectly supplements
the discussed notion of reality, rendering trade-offs between reality and
quantum uncertainty. State-independent complementarity inequalities involving
entropic measures of both, uncertainty and reality, for two observables are
presented.
