4 papers
Asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement
Nina H. Amini, Tristan Benoist, Maël Bompais +1
We investigate the asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement, extending previous results established for the ideal case of per…
Exponentially fast selection of sectors for quantum trajectories beyond non demolition measurements
Tristan Benoist, Linda Greggio, Clément Pellegrini
We show that, in long time, quantum trajectories select an invariant subspace of the Hilbert space of the system being indirectly measured. This selection is shown to be exponentia…
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…
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…