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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
Uncertainty Principle and Minimal Energy Dissipation in the Computer
TL;DR: In this paper, the uncertainty principle is disproved and it is shown that ΔEΔt≈h, with Δt equated to a switching time, yields any information about energy dissipation.
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The Fisher-information-based uncertainty relation, Cramer–Rao inequality and kinetic energy for the D-dimensional central problem
TL;DR: In this paper, the Cramer-Rao inequality was shown to be bounded from below by the Fisher information in position and momentum spaces, denoted by Iρ and Iγ, respectively.
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Quantum Calibration of Measurement Instrumentation
TL;DR: This work shows how to achieve the calibration of an arbitrary measuring apparatus, by using it in combination with a tomographer in a correlation setup with an input bipartite system.
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Impossibility of secure two-party classical computation
TL;DR: Attacks are presented that show that unconditionally secure two-party classical computation is impossible for many classes of function.
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Experimental multiphase estimation on a chip
Emanuele Polino,Martina Riva,Mauro Valeri,Raffaele Silvestri,Giacomo Corrielli,Andrea Crespi,Nicolò Spagnolo,Roberto Osellame,Fabio Sciarrino +8 more
TL;DR: This work reports the experimental implementation of a reconfigurable integrated multimode interferometer designed for the simultaneous estimation of two optical phases and demonstrates quantum-enhanced performances in two-phase estimation with respect to the best classical case, post-selected to the number of detected coincidences.
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 .
Journal ArticleDOI
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.