We study the quantum walk in momentum space using a coin arranged in quasi-periodic sequences following a Fibonacci prescription. We build for this system a classical map based on the trace of the evolution operator. The sub-ballistic behavior of this quantum walk is connected with the power-law decay of the time correlations of the trace map.
@article{arxiv.0802.2289,
title = {The Fibonacci quantum walk and its cassical trace map},
author = {Alejandro Romanelli},
journal= {arXiv preprint arXiv:0802.2289},
year = {2015}
}