42 citations · 263 across the 27 of their papers we have counts for
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Dark Subspaces and Invariant Measures of Quantum Trajectories
Tristan Benoist, Clément Pellegrini, Anna Szczepanek
Quantum trajectories are Markov processes describing the evolution of a quantum system subject to indirect measurements. They can be viewed as place dependent iterated function sys…
Quantum Trajectories. Spectral Gap, Quasi-compactness & Limit Theorems
Tristan Benoist, Arnaud Hautecoeur, Clément Pellegrini
Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Inspired by the theory of random products of ma…
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…
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…
Invariant Measure for Quantum Trajectories
Tristan Benoist, Martin Fraas, Yan Pautrat +1
We study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by a measure on the spac…