16 citations · 78 across the 36 of their papers we have counts for
40 papers
Quantitative propagation of chaos for Lindblad dynamics
Nina H. Amini, Sofiane Chalal
We consider an open quantum system governed -body Lindblad equation and study mean-field limits in this setting. We prove that the -particle dynamics converges, in the sense…
Dynamic Programming Principle and Stabilization for Mean-Field Quantum Filtering Systems
Sofiane Chalal, Nina H. Amini, Hamed Amini +1
Working within the quantum filtering framework, we establish a dynamic programming principle in an infinite-dimensional setting by embedding the state space into the Hilbert-Schmid…
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…
Ergodic Properties of Quantum Markov Semigroups
Nicolas Mousset, Nina H. Amini
In this paper, we study the ergodic theorem for infinite-dimensional quantum Markov semigroups, originally introduced by Frigerio and Verri in 1982, and its latest version develope…
Brownian motion on the Fubini extension space and applications
Hamed Amini, Nina H. Amini, Sofiane Chalal +1
We study a family of essentially pairwise independent Brownian motions indexed by a continuum of labels and show how the Fubini extension framework provides a rigorous way to repre…