Covariant Ergodic Quantum Markov Semigroups via Systems of Imprimitivity

We construct relativistic quantum Markov semigroups from covariant completely positive maps. proceed by generalizing a step in Stinespring's dilation to general system of imprimitivity and basing it on Poincare group. The resulting noise channels are relativistically consistent the method is applicable any fundamental particle, though we demonstrate for case light-like particles. Krauss decomposition identity preserving maps (our set up Heisenberg picture) enables us that uniformly continuous. induce representations little groups ensure ergodic due transitive systems imprimitivity.