On Random Quantum Random Walks
Mathematical Physics
2021-08-11 v1 Differential Geometry
math.MP
Abstract
Quantum random walks, - coined, lattice ones, - exhibit ballistic behavior with fascinating asymptotic patterns of the amplitudes. We show that averaging over the coins (using the Haar measure), these patterns blend into a spline. Also, we discuss the localizations of such quantum random walks, and establish some strong constraints on the achievable speeds.
Cite
@article{arxiv.2108.04438,
title = {On Random Quantum Random Walks},
author = {Yuliy Baryshnikov},
journal= {arXiv preprint arXiv:2108.04438},
year = {2021}
}