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A superresolution-enhanced spectrometer beyond the Cramer–Rao bound in phase sensitivity [PDF]
Scientific ReportsPrecision measurement has been an important research area in sensing and metrology. In classical physics, the Fisher information determines the maximum extractable information from statistically unknown signals, based on a joint probability density ...
Byoung S. Ham
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Hybrid Cramér-Rao Bound for Quantum Bayes Point Estimation with Nuisance Parameters [PDF]
EntropyWe develop a hybrid framework for quantum parameter estimation in the presence of nuisance parameters. In this scheme, the parameters of interest are treated as fixed non-random parameters while nuisance parameters are integrated out with respect to a ...
Jianchao Zhang, Jun Suzuki
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Efficient qubit phase estimation using adaptive measurements [PDF]
Quantum, 2021 Estimating correctly the quantum phase of a physical system is a central problem in quantum parameter estimation theory due to its wide range of applications from quantum metrology to cryptography.
Marco A. Rodríguez-García +2 more
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Enhanced parameter estimation by measurement of non-Hermitian operators
AAPPS Bulletin, 2023 Quantum metrology aims at delivering new quantum-mechanical improvement to technologies of parameter estimations with precision bounded by the quantum Cramér-Rao bound.
Jianning Li +3 more
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npj Quantum Information, 2022 The quantum Cramér–Rao bound sets a fundamental limit on the accuracy of unbiased parameter estimation in quantum systems, relating the uncertainty in determining a parameter to the inverse of the quantum Fisher information. We experimentally demonstrate
Min Yu +10 more
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Speed limit of quantum metrology
Scientific Reports, 2023 Quantum metrology employs nonclassical systems to improve the sensitivity of measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao bound.
Yusef Maleki +2 more
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Power and sample size determination for the group comparison of patient-reported outcomes with Rasch family models. [PDF]
PLoS ONE, 2013 BACKGROUND: Patient-reported outcomes (PRO) that comprise all self-reported measures by the patient are important as endpoint in clinical trials and epidemiological studies.
Myriam Blanchin +4 more
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The Cramér–Rao Bounds and Sensor Selection for Nonlinear Systems with Uncertain Observations
Sensors, 2018 This paper considers the problems of the posterior Cramér–Rao bound and sensor selection for multi-sensor nonlinear systems with uncertain observations.
Zhiguo Wang +3 more
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Entropy, 2023 The variational Bayesian method solves nonlinear estimation problems by iteratively computing the integral of the marginal density. Many researchers have demonstrated the fact its performance depends on the linear approximation in the computation of the ...
Yumei Hu +5 more
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DOA Estimation for Sources with Large Power Differences
International Journal of Antennas and Propagation, 2021 Sources with large power differences are very common, especially in complex electromagnetic environments. Classical DOA estimation methods suffer from performance degradation in terms of resolution when dealing with sources that have large power ...
Qingyuan Fang +3 more
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