Online Parameter Estimation For Continuously Monitored Quantum Systems | Awesome Quantum Computing Papers

Online Parameter Estimation For Continuously Monitored Quantum Systems

Henrik Glavind Clausen, Pierre Rouchon, Rafal Wisniewski Β· IEEE Control Systems Letters Β· 2024

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.

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