Graphon Quantum Filtering Systems
Hamed Amini, Nina H. Amini, Sofiane Chalal, Gaoyue Guo

TL;DR
This paper develops a graphon-based quantum filtering framework for large interacting quantum systems, proving well-posedness and propagation of chaos, with applications to quantum state preparation and game theory.
Contribution
It introduces a novel graphon-based approach to quantum filtering for non-exchangeable systems, extending mean-field theory to dense graph interactions.
Findings
Established well-posedness of the graphon quantum filtering system
Proved propagation of chaos for multi-class bosonic systems
Discussed applications to quantum state preparation and quantum graphon games
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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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Graphene research and applications
