We consider the equilibration dynamics of a two-level quantum system in contact with multiple structured reservoirs that carry quantum information. We develop a micromaser-like quantum master equation based on repeated interactions and show that some information is transferred from the quantum reservoir into the quantum system in the steady-state. In the results we obtained from the analytical methods we used, we have developed a clear expression of the information transferred to the two-level system in terms of information reservoir parameters and interaction coefficients of the probe qubit with the reservoirs. We propose an open quantum classifier model by developing a binary classification rule by use of these results. We also develop the analytical description of the classification process by quantum parameter estimation. (C) 2021 Published by Elsevier B.V.