  We consider a recently introduced framework for the description of memory
effects based on quantum state distinguishability quantifiers, in which
entropic quantifiers can be included. After briefly presenting the approach, we
validate it considering the performance of different quantifiers in the
characterization of the reduced dynamics of a two-level system undergoing
decoherence. We investigate the different behavior of these quantifiers in the
dependence on physical features of the model, such as environmental temperature
and coupling strength. It appears that the performance of the different
quantifiers conveys the same physical information, though with different
sensitivities, thus supporting robustness of the approach.
