Quantum random walk approximation on locally compact quantum groups (Q360400)

Within the framework of their theory of quantum stochastic convolution cocycles on co-unital multiplier \(C^*\)~bi-algebras, the authors show how Markov-regular contractive completely positive cocycles can be approximated by quantum random walks; in particular, every Markov-regular quantum Lévy process on a multiplier \(C^*\)~bialgebra is the limit of a family of quantum random walks (Corollary~2.5). The main tool used is an approximation theorem due to the reviewer.