Dynamical Localization for General Scattering Quantum Walks
Mathematical Physics
2026-02-16 v1 math.MP
Abstract
We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an i.i.d. random phase, we obtain a random scattering quantum walk. We prove dynamical localization for random scattering walks in a large-disorder regime. The result is based on a relation between fractional moment estimates and eigenfunction correlators of independent interest, which we establish for general random unitary operators.
Cite
@article{arxiv.2602.12760,
title = {Dynamical Localization for General Scattering Quantum Walks},
author = {Alain Joye and Andreas Schaefer and Simone Warzel},
journal= {arXiv preprint arXiv:2602.12760},
year = {2026}
}