Online Parameter Estimation for Continuously Monitored Quantum Systems
<|reference_start|>Online Parameter Estimation for Continuously Monitored Quantum Systems: 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.<|reference_end|>
@article{clausen2024online,
    title={Online Parameter Estimation for Continuously Monitored Quantum Systems},
    author={Henrik Glavind Clausen, Pierre Rouchon and Rafal Wisniewski},
    journal={arXiv preprint arXiv:2403.04648},
    year={2024},
    doi={10.1109/LCSYS.2024.3407608},
    archivePrefix={arXiv},
    eprint={2403.04648},
    primaryClass={quant-ph cs.SY eess.SY}
}