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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
Experimental implementation of unambiguous quantum reading
Michele Dall'Arno,Alessandro Bisio,Giacomo Mauro D'Ariano,Martina Miková,Miroslav Ježek,Miloslav Dusek +5 more
TL;DR: In this paper, the authors provided the optimal strategy for the unambiguous quantum reading of optical memories, namely when perfect retrieving of information is achieved probabilistically, for the case where noise and loss are negligible.
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Estimation of Gaussian quantum states
TL;DR: In this paper, the authors derived several expressions for the quantum Fisher information matrix (QFIM) for the multi-parameter estimation of multi-mode Gaussian quantum states, the corresponding symmetric logarithmic derivatives, and conditions for saturability of the quantum Cramer-Rao bound.
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On interferometric duality in multibeam experiments
Giuseppe Bimonte,R. Musto +1 more
TL;DR: In this paper, the authors show that the traditional notion of visibility is incompatible with any intuitive idea of complementarity, but for the two-beam case and derive a number of new inequalities, not present in the twobeam case, one of them coinciding with a recently proposed multibeam generalization of the inequality found by Greenberger and YaSin.
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Information leak in Liu et al.’s quantum private comparison and a new protocol
TL;DR: This study point out that a flaw of information leak is existent in the protocol and a new QPC which can avoid the flaw and has higher efficiency is proposed in this paper.
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A Generalization of Shannon's Information Theory
TL;DR: The mathematical foundations of the new information theory, the generalized communication model, information measures for semantic information and sensory information, and the coding meanings of generalized entropy and generalized mutual information are introduced.
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.