8 citations · 8 across the 6 of their papers we have counts for
7 papers
Generating quantum ensembles via reverse-time quantum diffusions
Maël Bompais, Mădălin Guţă, Juan P. Garrahan
We establish a reverse-time denoising theory for quantum diffusions of continuously measured quantum systems. Starting from the stochastic Schrödinger equation of a forward noising…
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…
The rate of purification of quantum trajectories
Maël Bompais, Nina H. Amini, Juan P. Garrahan +1
We investigate the behavior of quantum trajectories conditioned on measurement outcomes. Under a condition related to the absence of so-called dark subspaces, Kümmerer and Maassen…
Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories
Nina H. Amini, Maël Bompais, Clément Pellegrini
We show that quantum trajectories become exponentially fast supported by one of their minimal invariant subspaces. Exponential convergence is shown in expectation using Lyapunov te…
On Asymptotic Stability of Non-Demolition Quantum Trajectories with Measurement Imperfections
Maël Bompais, Nina H. Amini
We consider the question of asymptotic stability of quantum trajectories undergoing quantum non-demolition imperfect measurement, that is to say the convergence of the estimated tr…
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…
On stability of quantum trajectories and their Cesaro mean
Nina H. Amini, Maël Bompais, Clément Pellegrini
We address the question of stability of quantum trajectories, also referred as quantum filters}. We determine the limit of the quantum fidelity between the true quantum trajectory…