Article Dans Une Revue IEEE Control Systems Letters Année : 2024

Online Parameter Estimation for Continuously Monitored Quantum Systems

Henrik Glavind Clausen
Rafal Wisniewski

Résumé

In this work, we consider the problem of on-line (real-time, single-shot) estimation of static or slow-varying parameters along quantum trajectories in quantum dynamical systems. Based on the measurement signal of a continuously monitored quantum system, we propose a recursive algorithm for computing the maximum likelihood (ML) estimate of unknown parameters using an approach based on stochastic gradient ascent on the log-likelihood function. We formulate the algorithm in both discrete-time and continuous-time and illustrate the performance of the algorithm through simulations of a simple two-level system undergoing homodyne measurement from which we are able to track multiple parameters simultaneously.

Dates et versions

hal-04887075 , version 1 (14-01-2025)

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Henrik Glavind Clausen, Pierre Rouchon, Rafal Wisniewski. Online Parameter Estimation for Continuously Monitored Quantum Systems. IEEE Control Systems Letters, 2024, 8, pp.1247-1252. ⟨10.1109/LCSYS.2024.3407608⟩. ⟨hal-04887075⟩
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