Transient temperature and mixing times of quantum walks on cycles

Nicolás Díaz, Raul Donangelo, Renato Portugal, Alejandro Romanelli

Published 2016-07-21Version 1

The definition of entanglement temperature for the quantum walk on the 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