Quantum random walk approximation on locally compact quantum groups

Lindsay, J. Martin and Skalski, Adam G. (2013) Quantum random walk approximation on locally compact quantum groups. Letters in Mathematical Physics, 103 (7). pp. 765-775. ISSN 0377-9017

Abstract

A natural scheme is established for the approximation of quantum Lévy 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.