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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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Secure communication using mesoscopic coherent states.
TL;DR: It is demonstrated theoretically and experimentally that secure communication using intermediate-energy (mesoscopic) coherent states is possible and new avenues are open to secure communications at high speeds in fiber-optic or free-space channels.
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Quantum speed limits, coherence, and asymmetry
TL;DR: In this article, it is shown that speed is related to the notion of asymmetry, a result that provides direct connection with the problem of quantifying the coherence of quantum states.
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Minimal qubit tomography
TL;DR: In this article, a highly symmetric and efficient scheme for the determination of a single qubit state, such as the polarization properties of photons emitted by a single-photon source, is presented.
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Quantum state discrimination and its applications
TL;DR: This review serves to strengthen the link between results in quantum state discrimination and quantum information applications, by showing the ways in which the fundamental results are exploited in applications and vice versa.
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Degrees of concealment and bindingness in quantum bit commitment protocols
Robert W. Spekkens,Terry Rudolph +1 more
TL;DR: Upper bounds on the degrees of concealment and bindingness that can be achieved simultaneously in any bit commitment protocol are determined although it is unknown whether these can be saturated.
References
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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.