11 citations · 28 across the 24 of their papers we have counts for
5 papers · 1 filter
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…
State Space Decomposition of Quantum Dynamical Semigroups
Nicolas Mousset, Nina H. Amini
The mean evolution of an open quantum system in continuous time is described by a time continuous semigroup of quantum channels (completely positive and trace-preserving linear map…
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…