Speaker: Dariusz Chruscinski

Title: On the universal constraints for relaxation rates for quantum dynamical semigroup 

Abstract:
A conjecture for the universal constraints for relaxation rates of a quantum dynamical semigroup is proposed. It is shown that it holds for several interesting classes of semigroups, e.g.  unital semigroups and semigroups derived in the weak coupling limit from the proper microscopic model. Moreover, proposed conjecture  is supported by numerical analysis. It makes an essential step towards physical characterisation of complete positivity. This conjecture would have several important implications: it allows to provide universal constraints for spectra of quantum channels and provides a necessary condition to decide whether a given channel is consistent with Markovian evolution.