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Stochastic limits of Quantum repeated measurements
Antoine Jacquier, Kostas Kardaras, Adeline Viot·December 12, 2025
math.PRQuantum Physics
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Abstract
We investigate quantum systems perturbed by noise in the form of repeated interactions between the system and the environment. As the number of interactions (aka time steps) tends to infinity, we show, following the works by Pellegrini, that this system converges to the solution of a Volterra stochastic differential equation. This development sets interesting future research paths at the intersection of quantum algorithms, stochastic differential equations, weak convergence and large deviations.