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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 Article
Testing Quantum Devices: Practical Entanglement Verification in Bipartite Optical Systems
TL;DR: In this article, the authors present a method to test quantum behavior of quantum information processing devices, such as quantum memories, teleportation devices, channels, and quantum key distribution protocols, in order to reduce the resources for entanglement verification.
Journal ArticleDOI
Quantum detection and mutual information for QAM and PSK signals
TL;DR: It is shown that the quantum receiver called square root measurement gives about 5.7 dB improvement in power in comparison with the classical one, and the quantum QAM system can achieve the same reliability as the conventional intensity modulation-direct detection system.
Posted Content
Principles of Quantum Communication Theory: A Modern Approach.
Sumeet Khatri,Mark M. Wilde +1 more
TL;DR: This work adopts an information-theoretic perspective throughout and gives a comprehensive account of fundamental results in quantum communication theory from the past decade, with an emphasis on the modern one-shot-to-asymptotic approach that underlies much of today's state-of-the-art research in this field.
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Bayes' theorem and quantum retrodiction
TL;DR: In this article, a simple expression for the retrodictive density operator is derived on the basis of Bayes' theorem for the premeasurement state associated with the result of any measurement.
Journal ArticleDOI
Structure of minimum-error quantum state discrimination
TL;DR: In this paper, the authors considered the problem of minimum-error quantum state discrimination where one attempts to minimize the average error and showed that the problem can be solved analytically with equal prior probabilities.
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 .
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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.