6 papers
Asymptotic statistical theory of irreducible quantum Markov chains
Federico Girotti, Jukka Kiukas, MÄdÄlin GuÅ£Ä
In this paper we investigate the asymptotic statistical theory of irreducible quantum Markov chains, focusing on identifiability properties and asymptotic convergence of associated…
Irreducibility of Quantum Markov Semigroups, uniqueness of invariant states and related properties
Franco Fagnola, Federico Girotti
We present different characterizations of the notion of irreducibility for Quantum Markov Semigroups (QMSs) and investigate its relationship with other relevant features of the dyn…
Purification of quantum trajectories in infinite dimensions
Federico Girotti, Alessandro Vitale
In this work we exhibit a class of examples that show that the characterization of purification of quantum trajectories in terms of 'dark' subspaces that was proved for finite dime…
Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator
Federico Girotti, Alfred Godley, MÄdÄlin GuÅ£Ä
We propose a two step strategy for estimating one-dimensional dynamical parameters of a quantum Markov chain, which involves quantum post-processing the output using a coherent qua…
Quasi-stationary normal states for quantum Markov semigroups
Ameur Dhahri, Franco Fagnola, Federico Girotti +1
We introduce the notion of Quasi-Stationary State (QSS) in the context of quantum Markov semigroups that generalizes the one of quasi-stationary distribution in the case of classic…
Gaussian quantum Markov semigroups on finitely many modes admitting a normal invariant state
Federico Girotti, Damiano Poletti
Gaussian quantum Markov semigroups (GQMSs) are of fundamental importance in modelling the evolution of several quantum systems. Moreover, they represent the noncommutative generali…