Work

Graphon Quantum Filtering Systems

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2506.12249

Authors: Amini, Hamed, Amini, Nina H., Chalal, Sofiane, Guo, Gaoyue

Institutions: Université Paris-Saclay, Laboratoire des signaux et systèmes, Mathématiques et Informatique pour la Complexité et les Systèmes

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Agence Nationale de la Recherche

Awards: Iterative Generation of New quantum states of light for quantum Information processing, G3010527862, Institute for Mathematical and Statistical Innovation, EAGER: Risk Methodology for Supply Chain Networks, Estimation and control of open quantum systems

OpenAlex ID: W4415111150

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