Graphon Quantum Filtering Systems

• URL: http://arxiv.org/abs/2506.12249v1
• Date: Fri, 13 Jun 2025 21:56:02 GMT
• Title: Graphon Quantum Filtering Systems
• Authors: Hamed Amini, Nina H. Amini, Sofiane Chalal, Gaoyue Guo,
• Abstract summary: We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on a class of dense graphs.<n>We derive a graphon-based quantum filtering system of equations, study its well-posedness, and establish a propagation of chaos result for multiple bosonic systems with blockwise interactions.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on a class of dense graphs. In the mean-field limit, we derive a graphon-based quantum filtering system of equations, study its well-posedness, and establish a propagation of chaos result for multiple bosonic systems with blockwise interactions. We then discuss applications to quantum graphon games and quantum state preparation.

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