10 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…
On the non-Markovian quantum control dynamics
Haijin Ding, Nina H. Amini, John E. Gough +1
In this paper, we study both open-loop control and closed-loop measurement feedback control of non-Markovian quantum dynamics arising from the interaction between a quantum system…
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…
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…
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…
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…