Graphon Quantum Filtering Systems
Probability
2025-12-05 v3 Mathematical Physics
Combinatorics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2506.12249,
title = {Graphon Quantum Filtering Systems},
author = {Hamed Amini and Nina H. Amini and Sofiane Chalal and Gaoyue Guo},
journal= {arXiv preprint arXiv:2506.12249},
year = {2025}
}