Online Parameter Estimation for Continuously Monitored Quantum Systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914838749380608 |
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| author | Clausen, Henrik Glavind Rouchon, Pierre Wisniewski, Rafal |
| author_facet | Clausen, Henrik Glavind Rouchon, Pierre Wisniewski, Rafal |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Online Parameter Estimation for Continuously Monitored Quantum Systems Clausen, Henrik Glavind Rouchon, Pierre Wisniewski, Rafal Quantum Physics Systems and Control 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. |
| title | Online Parameter Estimation for Continuously Monitored Quantum Systems |
| topic | Quantum Physics Systems and Control |
| url | https://arxiv.org/abs/2403.04648 |