31 citations · 31 across the 6 of their papers we have counts for
6 papers
Trace-class spectra of irreducible Gaussian quantum Markov semigroups
Franco Fagnola, Zheng Li
We determine the spectrum of the predual generator of an irreducible Gaussian quantum Markov semigroup on trace-class operators, the natural space for density operators. The drift…
Irreducibility and regularisation properties of Gaussian quantum Markov semigroups
Franco Fagnola, Federico Girotti
We study regularisation and irreducibility properties of Gaussian quantum Markov semigroups (GQMSs) acting on continuous-variable quantum systems. We first identify a natural notio…
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…
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…
Spectral Analysis for Gaussian Quantum Markov Semigroups
Franco Fagnola, Zheng Li
Let be a Gaussian quantum Markov semigroup with a faithful normal invariant state . For every , the -embedding associated with induces a cont…
Entropy Production for Quantum Markov Semigroups
Franco Fagnola, Rolando Rebolledo
An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantum detailed balance condition. In this paper, we introduce a notion of entropy produ…