Notes on Inhomogeneous Quantum Walks
Quantum Physics
2011-10-24 v2 Disordered Systems and Neural Networks
Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We study a class of discrete-time quantum walks with inhomogeneous coins defined in [Y. Shikano and H. Katsura, Phys. Rev. E {\bf 82}, 031122 (2010)]. We establish symmetry properties of the spectrum of the evolution operator, which resembles the Hofstadter butterfly.
Keywords
Cite
@article{arxiv.1104.2010,
title = {Notes on Inhomogeneous Quantum Walks},
author = {Yutaka Shikano and Hosho Katsura},
journal= {arXiv preprint arXiv:1104.2010},
year = {2011}
}
Comments
4 pages, 2 figures, as the proceedings of QCMC 2010