Dr. Daniele Amato

Number of steady and asymptotic states of quantum evolutions

In this talk, we provide sharp universal upper bounds on the number of linearly independent steady and asymptotic states of discrete- and continuous-time Markovian evolutions of finite-dimensional open quantum systems. We show that the bounds depend only on the dimension of the system and not on the details of the dynamics. The connection with a recent spectral conjecture for Markovian evolutions is also discussed.