Graphon Quantum Filtering Systems

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.