Spectral stability of unitary network models
Joachim Asch, Olivier Bourget, Alain Joye · Reviews in Mathematical Physics · 2015
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.