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arXiv · 2506.12249

Graphon Quantum Filtering Systems

Hamed Amini·Nina H. Amini·Sofiane Chalal·Gaoyue Guo
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Abstract

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, we derive a graphon-based quantum filtering system, establish its well-posedness, and prove propagation of chaos for multi-class bosonic systems with blockwise interactions. We then discuss applications to quantum state preparation and quantum graphon games.

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BibTeXRIS

Hamed Amini, Nina H. Amini, Sofiane Chalal, Gaoyue Guo. 2025-12-03. Graphon Quantum Filtering Systems. https://arxiv.org/abs/2506.12249

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