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Quantum detection and estimation theory
TLDR
In this article, the optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented, and a quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates.Abstract:
A review. Quantum detection theory is a reformulation, in quantum-mechanical terms, of statistical decision theory as applied to the detection of signals in random noise. Density operators take the place of the probability density functions of conventional statistics. The optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented. Quantum estimation theory seeks best estimators of parameters of a density operator. A quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates. Applications at present are primarily to the detection and estimation of signals of optical frequencies in the presence of thermal radiation.read more
Citations
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Journal ArticleDOI
Entanglement in fermion systems and quantum metrology
TL;DR: In this article, a generalized definition of separability based on partitions of the set of observables, rather than on particle tensor products, was proposed for fermion many-body systems.
Journal ArticleDOI
Quantum-limited estimation of the axial separation of two incoherent point sources
Yiyu Zhou,Jing Yang,Jeremy D. Hassett,Seyed Mohammad Hashemi Rafsanjani,Mohammad Mirhosseini,A. Nick Vamivakas,Andrew N. Jordan,Zhimin Shi,Robert W. Boyd +8 more
TL;DR: In this paper, a radial mode sorter is used to decompose the optical fields into a radial basis set to extract the phase information associated with the axial positions of the point sources.
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Quantum imaging with sub-Poissonian light: challenges and perspectives in optical metrology
TL;DR: In this article, the principles of quantum imaging and sensing techniques which exploit sub-Poissonian photon statistics and non-classical photon number correlation are reviewed, presenting some state-of-the-art achievements in the field.
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Quantum-limited mirror-motion estimation.
Kohjiro Iwasawa,Kenzo Makino,Hidehiro Yonezawa,Mankei Tsang,Aleksandar Davidovic,Elanor H. Huntington,Akira Furusawa +6 more
TL;DR: Optomechanical motion and force measurements near the quantum precision limits set by the quantum Cramér-Rao bounds are demonstrated and clear quantum enhancements beyond the coherent state bounds are shown.
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Implementation of generalized quantum measurements for unambiguous discrimination of multiple non-orthogonal coherent states
TL;DR: It is shown that the experimental implementation of generalized quantum measurements for unambiguous discrimination of four non-orthogonal coherent states and their quantum mechanical description, the positive-operator valued measure, outperforms any ideal standard-quantum-limited measurement performing the same non-ideal unambiguous state discrimination task for coherent states with low mean photon numbers.
References
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Journal ArticleDOI
Coherent and incoherent states of the radiation field
TL;DR: In this article, the photon statistics of arbitrary fields in fully quantum-mechanical terms are discussed, and a general method of representing the density operator for the field is discussed as well as a simple formulation of a superposition law for photon fields.
Book
Detection, Estimation, And Modulation Theory
TL;DR: Detection, estimation, and modulation theory, Detection, estimation and modulation theorists, اطلاعات رسانی کشاورزی .
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Description of States in Quantum Mechanics by Density Matrix and Operator Techniques
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On the problems of the most efficient tests of statistical hypotheses.
J. Neyman,E. S. Pearson +1 more
TL;DR: The problem of testing statistical hypotheses is an old one as discussed by the authors, and its origin is usually connected with the name of Thomas Bayes, who gave the well-known theorem on the probabilities a posteriori of the possible causes of a given event.