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Open Quantum Systems Decoherence

Stochastic limits of Quantum repeated measurements

arXiv

Authors: Antoine Jacquier, Kostas Kardaras, Adeline Viot

Year

2025

Paper ID

36642

Status

Preprint

Abstract Read

~2 min

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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.

Why This Paper Matters

This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2025 reference point for readers tracking recent quantum research.
We investigate quantum systems perturbed by noise in the form of repeated interactions between the system and the environment.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.11462 [2] arXiv https://arxiv.org/abs/2512.11462 [3] Publisher https://arxiv.org/abs/2512.11462

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