Observed quantum particles system with graphon interaction

TL;DR

This paper introduces a new quantum graphon model for heterogeneously interacting particles under continuous measurement, proving its well-posedness and stability, advancing the understanding of large quantum systems.

Contribution

It develops a novel limiting quantum graphon framework for mean-field interacting quantum particles, with rigorous proofs of well-posedness and stability.

Findings

Derived a new quantum graphon system for heterogenous particles

Proved well-posedness of the quantum graphon model

Established stability results for the system

Abstract

In this paper, we consider a system of heterogeneously interacting quantum particles subject to indirect continuous measurement. The interaction is assumed to be of the mean-field type. We derive a new limiting quantum graphon system, prove the well-posedness of this system, and establish a stability result.