Observed quantum particles system with graphon interaction

Fuente: arXiv
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Main Authors: Chalal, Sofiane, Amini, Nina H., Guo, Gaoyue, Amini, Hamed
Format: Preprint
Published: 2024
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author Chalal, Sofiane
Amini, Nina H.
Guo, Gaoyue
Amini, Hamed
author_facet Chalal, Sofiane
Amini, Nina H.
Guo, Gaoyue
Amini, Hamed
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_07389
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Observed quantum particles system with graphon interaction
Chalal, Sofiane
Amini, Nina H.
Guo, Gaoyue
Amini, Hamed
Analysis of PDEs
Optimization and Control
Probability
Quantum Physics
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.
title Observed quantum particles system with graphon interaction
topic Analysis of PDEs
Optimization and Control
Probability
Quantum Physics
url https://arxiv.org/abs/2405.07389