Virtually Abelian Quantum Walks
Quantum Physics
2017-03-02 v3
Abstract
We introduce quantum walks on Cayley graphs of non-Abelian groups. We focus on the easiest case of virtually Abelian groups, and introduce a technique to reduce the quantum walk to an equivalent one on an Abelian group with coin system having larger dimension. We apply the technique in the case of two quantum walks on virtually Abelian groups with planar Cayley graphs, finding the exact solution.
Keywords
Cite
@article{arxiv.1511.03992,
title = {Virtually Abelian Quantum Walks},
author = {Giacomo Mauro D'Ariano and Marco Erba and Paolo Perinotti and Alessandro Tosini},
journal= {arXiv preprint arXiv:1511.03992},
year = {2017}
}
Comments
10 pages, 3 figures