Time-Dependent Memory Channel

We present a model for memory channels which is more realistic than the studied ones. In this model, the quantum system of our interest is coupled to a classical environment so that the state of both system and environment changes with time. During the relaxation process of environment, two qubits interact with it at different times and thus are affected by different channels. In other words, we have time dependent memory channel which relaxes to a specific channel. We consider the role of time interval between sending the qubits in the relaxation time of environment and thus behavior of the resulting channel.