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Graphon Quantum Filtering Systems
Hamed Amini, Nina H. Amini, Sofiane Chalal, Gaoyue Guo·June 13, 2025
math.PRMathematical Physicsmath.COQuantum Physics
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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.