Markovianity, in addition to resulting in a concave entropy functional, requires a divisible dynamical map from the time convolutionless master equation, Λ(t + τ, 0) = Λ(t + τ, t)Λ(t, 0) . Based on the necessity of negative flux for a Markovian process, this means that a non-Markovian process must correspond to a strictly positive flux, σ > 0. However, divisibility is not a necessary condition for negative flux. That is to say, a negative flux is a necessary but not sufficient condition for Markovianity. Consequently, we take the information flux for our system and set every negative value to zero leaving the purely non-Markovian contributions. Then by integrating over time for the maximum positive flux in the system, we can define a magnitude for the information returned to the system and hence the degree of non-Markovianity. The BLP measure, N , has been used previously to quantify the non-Markovianity of a general quantum system in this way ,