Quantum random walk approximation on locally compact quantum groups

Abstract

A natural scheme is established for the approximation of quantum Levy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context of discrete approximations of completely positive quantum stochastic convolution cocycles on C*-bialgebras.

8 pages; main results were contained in an early version of the article `Quantum stochastic convolution cocycles III' (arXiv:0905.2410)