2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228493It is shown how to construct quantum random walks with particles in an arbitrary faithful normal state. A convergence theorem is obtained for such walks, which demonstrates a thermalisation effect: the limit cocycle obeys a quantum stochastic differential equation without gauge terms. Examples are presented which generalise that of Attal and Joye (2007, J. Funct. Anal. 247, 253-288).16 pagesFunctional AnalysisMathematical Physics81S25 (Primary); 46L07, 46L53, 46N50 (Secondary)text