Spectral Stability of Unitary Network Models
Mathematical Physics
2015-09-30 v1 math.MP
Abstract
We review various unitary network models used in quantum computing, spectral analysis or condensed matter physics and establish relationships between them. We show that symmetric one dimensional quantum walks are universal, as are CMV matrices. We prove spectral stability and propagation properties for general asymptotically uniform models by means of unitary Mourre theory.
Cite
@article{arxiv.1502.02301,
title = {Spectral Stability of Unitary Network Models},
author = {Joachim Asch and Olivier Bourget and Alain Joye},
journal= {arXiv preprint arXiv:1502.02301},
year = {2015}
}