Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators

@article{Andrade2018DiscretetimeQW,
title={Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators},
author={R. Andrade and A. Souza},
journal={International Journal of Modern Physics C},
year={2018},
volume={29},
pages={1850098}
}

Properties of one-dimensional discrete-time quantum walks (DTQWs) are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position-dependent coin operators. Deterministic aperiodic sequences of two or more symbols provide ideal environments where these properties can be explored in a controlled way. Based on an exhaustive numerical study, this work discusses a two-coin model resulting from the construction rules that lead to the usual fractal Cantor… CONTINUE READING