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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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Book ChapterDOI
Continuous Non-Demolition Observation, Quantum Filtering and Optimal Estimation
TL;DR: In this paper, a quantum stochastic model for an open dynamical system (quantum receiver) and output multi-channel of observation with an additive non-vacuum quantum noise is given.
Journal ArticleDOI
Quantum learning of coherent states
TL;DR: In this paper, a quantum learning scheme for binary discrimination of coherent states of light was developed for the reading of information stored in a digital memory, where a coherent light source is used to illuminate a memory cell and retrieve its encoded bit by determining the quantum state of the reflected signal.
Journal ArticleDOI
Joint measurements and Bell inequalities
TL;DR: In this paper, the authors investigated the connection between Bell inequalities and conditions for joint quantum measurements to be possible and showed that there may be a link with Bell inequalities, as these will be satisfied if and only if a joint probability distribution for all involved observables exists.
Journal ArticleDOI
Improving the phase super-sensitivity of squeezing-assisted interferometers by squeeze factor unbalancing
TL;DR: In this paper, the sensitivity properties of an SU(1,1) interferometer made of two cascaded parametric amplifiers, as well as of an ordinary SU(2), preceded by a squeezer and followed by an anti-squeezer, are theoretically investigated.
Journal ArticleDOI
Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox.
TL;DR: In this article, the authors derive a criterion based on the quantum Fisher information that detects steering in a larger class of states than well-known uncertainty-based criteria, which enables the precise estimation of a local phase shift and of its generating observable.
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
Journal ArticleDOI
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.