Transient temperature and mixing times of quantum walks on cycles
Nicolás Díaz, R. Donangelo, Renato Portugal, A. Romanelli · Physical Review A · 2016
The definition of entanglement temperature for a quantum walk on a line is extended to $N$ cycles, which are more amenable to a physical implementation. We show that, for these systems, there is a linear connection between the thermalization time and the mixing time and, also, that these characteristic times become insensitive to the system size when $N$ is larger than a few units.