  Classifying quantum states usually demands to observe properties such as the
amount of correlation at one point in time. Further insight may be gained by
inspecting the dynamics in a given evolution scheme. Here we attempt such a
classification looking at single-qubit and two-qubit states at the start of
thermalisation with a heat bath. The speed with which the evolution starts is
influenced by quantum aspects of the state, however, such signatures do not
allow for a systematic classification.
