  We explore the notion of generated entropy in open quantum systems. We focus
on the study of the discrete-time quantum walk on the line, from the entropy
production perspective. We argue that the evolution of the coin can be modeled
as an open two-level system that exchanges energy with the lattice at some
effective temperature that depends on the initial state. The entropy balance
shows that there is a positive entropy production during the evolution, in
accordance with the second law of thermodynamics.
