Open AccessBook
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
More filters
Journal ArticleDOI
Hierarchy and dynamics of trace distance correlations
TL;DR: In this paper, the authors define and analyze measures of correlations for bipartite states based on trace distance and provide analytic expressions for the classical and total correlations for Bell diagonal states of two qubits.
Journal Article
The decoupling approach to quantum information theory
TL;DR: In this article, the authors present a set of techniques generales permettant de resoudre plusieurs problemes fondamentaux of the theory of l'information quantique dans un seul and meme cadre.
Journal Article
Applications of coherent classical communication and the schur transform to quantum information theory
Isaac L. Chuang,Aram W. Harrow +1 more
TL;DR: It is found that coherent classical communication can be used to derive several new quantum protocols and unify them both conceptually and operationally with old ones, and these new protocols are used to prove optimal trade-off curves for a wide variety of coding problems.
Journal ArticleDOI
Neumark's theorem and quantum inseparability
TL;DR: In this article, a different method of preparing the auxiliary quantum system is proposed, and shown to be physically acceptable, and the auxiliary system can be executed together with the original quantum system.
Journal ArticleDOI
Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver
TL;DR: In this article, the first joint-detection receiver capable of performing a joint measurement over pulse-position-modulation codewords was demonstrated by using a conditional nulling receiver, which uses optimized-amplitude coherent pulse nulling, single-photon detection and quantum feedforward.
References
More filters
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.