72 citations · 442 across the 37 of their papers we have counts for
13 papers · 1 filter
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…
Emergence of jumps in quantum trajectories via homogeneization
Tristan Benoist, Cédric Bernardin, Raphaël Chetrite +3
In the strong noise regime, we study the homogeneization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement. When the generator of th…
On the cost of Bayesian posterior mean strategy for log-concave models
Sébastien Gadat, Fabien Panloup, Clément Pellegrini
In this paper, we investigate the problem of computing Bayesian estimators using Langevin Monte-Carlo type approximation. The novelty of this paper is to consider together the stat…
Spiking and collapsing in large noise limits of SDEs
Cédric Bernardin, Raphaël Chetrite, Reda Chhaibi +2
We analyze the strong noise limit of one-dimensional stochastic differential equations (SDEs). Our initial motivation comes from continuous measurements of open quantum systems. In…
Recurrence and transience of continuous-time open quantum walks
Ivan Bardet, Hugo Bringuier, Yan Pautrat +1
This paper is devoted to the study of continuous-time processes known as continuous-time open quantum walks (CTOQWs). A CTOQW represents the evolution of a quantum particle constra…