Results 11 to 20 of about 4,191 (134)
Measuring quantum relative entropy with finite-size effect [PDF]
QuantumWe study the estimation of relative entropy $D(\rho\|\sigma)$ when $\sigma$ is known. We show that the Cramér-Rao type bound equals the relative varentropy. Our estimator attains the Cramér-Rao type bound when the dimension $d$ is fixed. It also achieves
Masahito Hayashi
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Cramér-Rao Lower Bound of Target Localization Method Based on TOA Measurements
Xibei Gongye Daxue Xuebao, 2019 The Cramér-Rao bound of target localization method based on time-of-arrival measurements is analyzed. For the localization error analysis, the CRLB is derived under the assumptions that the measurement errors are independent and characterized by zero ...
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The Cramér-Rao approach and global quantum estimation of bosonic states [PDF]
QuantumQuantum state estimation is a fundamental task in quantum information theory, where one estimates real parameters continuously embedded in a family of quantum states.
Masahito Hayashi, Yingkai Ouyang
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Imaging arbitrary incoherent source distributions with near quantum-limited resolution
Scientific Reports, 2022 We demonstrate an approach to obtaining near quantum-limited far-field imaging resolution of incoherent sources with arbitrary distributions. Our method assumes no prior knowledge of the source distribution, but rather uses an adaptive approach to ...
Erik F. Matlin, Lucas J. Zipp
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Entanglement-enhanced estimation of a parameter embedded in multiple phases
Physical Review Research, 2021 Quantum-enhanced sensing promises to improve the performance of sensing tasks using nonclassical probes and measurements that require far fewer scene-modulated photons than the best classical schemes, thereby granting previously inaccessible information ...
Michael R. Grace +2 more
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Dissipative adiabatic measurements: Beating the quantum Cramér-Rao bound
Physical Review Research, 2020 It is challenged only recently that the precision attainable in any measurement of a physical parameter is fundamentally limited by the quantum Cramér-Rao Bound (QCRB).
Da-Jian Zhang, Jiangbin Gong
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Simultaneous orientation and 3D localization microscopy with a Vortex point spread function
Nature Communications, 2021 Molecular orientation is often ignored during single-molecule localisation microscopy. Here, the authors use a Vortex point spread function in order to simultaneously estimate the 3D position, dipole orientation and degree of rotational constraint ...
Christiaan N. Hulleman +5 more
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СRAMER-RAO AND BHATTACHARYYA BOUNDS FOR ACCURACY ESTIMATION OF SUB-PIXEL IMAGE CO-REGISTRATION
Радіоелектронні і комп'ютерні системи, 2018 The subject matter of the article is theoretical lower bounds of parameter estimates applied to the problem of image co-registration. The goal is to study and compare the Cramer-Rao and Bhattacharyya bounds.
Виталий Анатольевич Душепа
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Thinned Virtual Array for Cramer Rao Bound Optimization in MIMO Radar
International Journal of Antennas and Propagation, 2021 By transmitting multiple independent waveforms at the transmit side and processing echoes of spatial targets at the receive side, Multiple Input Multiple Output (MIMO) radar enjoys virtual array aperture expansion and more degree of freedom (DOF), both ...
Xia Li, Buhong Wang
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Optomechanical parameter estimation
New Journal of Physics, 2013 We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cramér–Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of radiometer and ...
Shan Zheng Ang +3 more
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