14 citations · 36 across the 13 of their papers we have counts for
14 papers
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…
Asymptotic statistical theory of irreducible quantum Markov chains
Federico Girotti, Jukka Kiukas, Mădălin Guţă
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…
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…
Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator
Federico Girotti, Alfred Godley, Mădălin Guţă
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…
Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes
George Bakewell-Smith, Federico Girotti, Mădălin Guţă +1
We study the statistics of first passage times (FPTs) of trajectory observables in both classical and quantum Markov processes. We consider specifically the FPTs of counting observ…
Optimal estimation of pure states with displaced-null measurements
Federico Girotti, Alfred Godley, Mădălin Guţă
We revisit the problem of estimating an unknown parameter of a pure quantum state, and investigate `null-measurement' strategies in which the experimenter aims to measure in a basi…
Inverse thermodynamic uncertainty relations: general upper bounds on the fluctuations of trajectory observables
George Bakewell-Smith, Federico Girotti, Mădălin Guţă +1
Thermodynamic uncertainty relations (TURs) are general lower bounds on the size of fluctutations of dynamical observables. They have important consequences, one being that the prec…
Concentration Inequalities for Output Statistics of Quantum Markov Processes
Federico Girotti, Juan P. Garrahan, Mădălin Guţă
We derive new concentration bounds for time averages of measurement outcomes in quantum Markov processes. This generalizes well-known bounds for classical Markov chains which provi…
Absorption and Fixed Points for Semigroups of Quantum Channels
Federico Girotti
In the present work we review and refine some results about fixed points of semigroups of quantum channels. Noncommutative potential theory enables us to show that the set of fixed…
On a generalized Central Limit Theorem and Large Deviations for Homogeneous Open Quantum Walks
Raffaella Carbone, Federico Girotti, Anderson Melchor Hernandez
We consider homogeneous open quantum random walks on a lattice with finite dimensional local Hilbert space and we study in particular the position process of the quantum trajectori…
Large Deviations, Central Limit and dynamical phase transitions in the atom maser
Federico Girotti, Merlijn van Horssen, Raffaella Carbone +1
The theory of quantum jump trajectories provides a new framework for understanding dynamical phase transitions in open systems. A candidate for such transitions is the atom maser,…