On the stability of quantum dynamical semigroups : a convergence analysis

In this work we address the problems of state stabilization and convergence dynamics for finite-dimensional Quantum Dynamical Semigroups generators. We do so by building on the powerful notions of invariant and attractive quantum subsystems. We first recall some recent results due to Francesco Ticozzi and Lorenza Viola providing explicit algebraic characterizations of invariant and attractive subsystems. Then we present a new result on convergence dynamics.