Lively quantum walks on cycles
Quantum Physics
2017-02-09 v2 Emerging Technologies
Networking and Internet Architecture
Abstract
We introduce a family of quantum walks on cycles parametrized by their liveliness, defined by the ability to execute a long-range move. We investigate the behaviour of the probability distribution and time-averaged probability distribution. We show that the liveliness parameter, controlling the magnitude of the additional long-range move, has a direct impact on the periodicity of the limiting distribution. We also show that the introduced model provides a method for network exploration which is robust against trapping.
Cite
@article{arxiv.1512.02802,
title = {Lively quantum walks on cycles},
author = {Przemysław Sadowski and Jarosław Adam Miszczak and Mateusz Ostaszewski},
journal= {arXiv preprint arXiv:1512.02802},
year = {2017}
}
Comments
13 pages