Bayesian parameter estimation using Gaussian states and measurements
Autor: | Ayaka Usui, Nicolai Friis, Elizabeth Agudelo, Simon Morelli |
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Rok vydání: | 2021 |
Předmět: |
Physics and Astronomy (miscellaneous)
Computer science Materials Science (miscellaneous) Gaussian Gaussian quantum optics Bayesian probability FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas symbols.namesake Frequentist inference 0103 physical sciences Quantum metrology Statistical physics Electrical and Electronic Engineering 010306 general physics Quantum Physics Bayes estimator Estimation theory quantum metrology Bayesian estimation Atomic and Molecular Physics and Optics Asymptotically optimal algorithm symbols Quantum Physics (quant-ph) Realization (probability) |
Zdroj: | Quantum Science and Technology |
ISSN: | 2058-9565 |
Popis: | Bayesian analysis is a framework for parameter estimation that applies even in uncertainty regimes where the commonly used local (frequentist) analysis based on the Cram\'er-Rao bound is not well defined. In particular, it applies when no initial information about the parameter value is available, e.g., when few measurements are performed. Here, we consider three paradigmatic estimation schemes in continuous-variable quantum metrology (estimation of displacements, phases, and squeezing strengths) and analyse them from the Bayesian perspective. For each of these scenarios, we investigate the precision achievable with single-mode Gaussian states under homodyne and heterodyne detection. This allows us to identify Bayesian estimation strategies that combine good performance with the potential for straightforward experimental realization in terms of Gaussian states and measurements. Our results provide practical solutions for reaching uncertainties where local estimation techniques apply, thus bridging the gap to regimes where asymptotically optimal strategies can be employed. Comment: 16+4 pages, 8 figures |
Databáze: | OpenAIRE |
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