Online Parameter Estimation for Continuously Monitored Quantum Systems
Quantum Physics
2024-06-19 v2 Systems and Control
Systems and Control
Abstract
In this work, we consider the problem of online (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 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.
Cite
@article{arxiv.2403.04648,
title = {Online Parameter Estimation for Continuously Monitored Quantum Systems},
author = {Henrik Glavind Clausen and Pierre Rouchon and Rafal Wisniewski},
journal= {arXiv preprint arXiv:2403.04648},
year = {2024}
}