On Random Quantum Random Walks

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.

References in corpus (2)

• Asymptotic evolution of quantum walks with random coin
• Localization in Quantum Walks on a Honeycomb Network