7 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…
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…
Graphon Quantum Filtering Systems
Hamed Amini, Nina H. Amini, Sofiane Chalal +1
We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on dense graphs. In the mean-field limit…
Unravelling mean-field Lindblad equation
Sofiane Chalal, Nina H. Amini
We propose a mean-field particle Monte Carlo method for simulating the N-body Lindblad equation. We provide a convergence result showing that a system of interacting particles conv…
Observed quantum particles system with graphon interaction
Sofiane Chalal, Nina H. Amini, Gaoyue Guo +1
In this paper, we consider a system of heterogeneously interacting quantum particles subject to indirect continuous measurement. The interaction is assumed to be of the mean-field…
On the mean-field Belavkin filtering equation
Sofiane Chalal, Nina H. Amini, Gaoyue Guo
Following Kolokoltsov's work [1], we present an extension of mean-field control theory in quantum framework. In particular such an extension is done naturally by considering the Be…