Parameter estimation and system identification for continuously-observed quantum systems

Nurdin, Hendra I.; Guţǎ, Mădălin

Abstract

This paper gives an overview of parameter estimation and system identification for quantum input–output systems by continuous observation of the output field. We present recent results on the quantum Fisher information of the output with respect to unknown dynamical parameters. We discuss the structure of continuous-time measurements as solutions of the quantum Zakai equation, and their relationship to parameter estimation methods. Proceeding beyond parameter estimation, the paper also gives an overview of the emerging topic of quantum system identification for black-box modelling of quantum systems by continuous observation of a travelling wave probe, for the case of ergodic quantum input–output systems and linear quantum systems. Empirical methods for such black-box modelling are also discussed.

• Journal Article Type: Article
• Acceptance Date: Apr 29, 2022
• Online Publication Date: May 29, 2022
• Publication Date: 2022
• Deposit Date: Jun 13, 2022
• Publicly Available Date: May 30, 2023
• Journal: Annual Reviews in Control
• Print ISSN: 1367-5788
• Publisher: Elsevier BV
• Peer Reviewed: Peer Reviewed
• Volume: 54
• Pages: 295-304
• DOI: https://doi.org/10.1016/j.arcontrol.2022.04.012
• Keywords: Control and Systems Engineering; Software
• Public URL: https://nottingham-repository.worktribe.com/output/8493299
• Publisher URL: https://www.sciencedirect.com/science/article/abs/pii/S1367578822000268?via%3Dihub