Appears in collection : 2017 - T3 - WS1 - Operator algebras and quantum information theory

Repeated interactions of an open quantum system with copies of another system can be interpreted as a quantum Markov process. The notion of asymptotic completeness from scattering theory is closely related to the preparability of states and hence to the controllability of the open system. We explain the main results and examples (micromaser) in [R. Gohm, F. Haag, B. Kümmerer, Universal Preparability and Asymptotic Completeness, CMP 352(1) (2017), 59-94], discuss the operator algebraic techniques developed for the proofs and reflect about their potential.