72 citations · 442 across the 37 of their papers we have counts for
38 papers
Quantum model reduction for continuous-time quantum filters
Tommaso Grigoletto, Clément Pellegrini, Francesco Ticozzi
The use of quantum stochastic models is widespread in dynamical reduction, simulation of open systems, feedback control and adaptive estimation. In many applications only part of t…
A physical noise model for quantum measurements
Faedi Loulidi, Ion Nechita, Clément Pellegrini
In this paper we introduce a novel noise model for quantum measurements motivated by an indirect measurement scheme with faulty preparation. Averaging over random dynamics governin…
Limit theorems for Quantum Trajectories
Tristan Benoist, Jan-Luka Fatras, Clément Pellegrini
Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Under purification and irreducibility assumptio…
To spike or not to spike: the whims of the Wonham filter in the strong noise regime
Cédric Bernardin, Reda Chhaibi, Joseph Najnudel +1
We study the celebrated Shiryaev-Wonham filter (1964) in its historical setup where the hidden Markov jump process has two states. We are interested in the weak noise regime for th…
The Asymmetric Quantum Cloning Region
Ion Nechita, Clément Pellegrini, Denis Rochette
Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies bei…
Parameter Estimation for Quantum Trajectories: Convergence Result
Maël Bompais, Nina H. Amini, Clément Pellegrini
A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus…