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arXiv · 1607.06512

Transient temperature and mixing times of quantum walks on cycles

Nicolás Díaz·Raul Donangelo·Renato Portugal·Alejandro Romanelli
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Abstract

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

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Nicolás Díaz, Raul Donangelo, Renato Portugal, Alejandro Romanelli. 2016-07-21. Transient temperature and mixing times of quantum walks on cycles. https://doi.org/10.1103/physreva.94.012305

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