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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
Fundamental limits to quantum channel discrimination
TL;DR: In this article, the authors investigated the symmetric discrimination of two arbitrary qudit channels by means of the most general protocols based on adaptive (feedback-assisted) quantum operations.
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Surface/State Correspondence as a Generalized Holography
TL;DR: In this article, a new duality relation between codimension two space-like surfaces in gravitational theories and quantum states in dual Hilbert spaces was proposed, which largely generalizes the idea of holography such that we do not need to rely on any existence of boundaries in gravitational spacetimes.
Posted Content
The Converse Part of The Theorem for Quantum Hoeffding Bound
TL;DR: In this paper, the converse part of the theorem for quantum Hoeffding bound on the asymptotics of quantum hypothesis testing was proved, essentially based on an argument developed by Nussbaum and Szkola.
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Quantum-enhanced multiparameter estimation in multiarm interferometers.
TL;DR: In this article, the authors provide conditions of useful particle entanglement for multiphase estimation and adapt them to multi-arm Mach-Zehnder interferometry for image and sensing applications.
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Quantum interferometry with three-dimensional geometry
Nicolò Spagnolo,Lorenzo Aparo,Chiara Vitelli,Chiara Vitelli,Andrea Crespi,Roberta Ramponi,Roberto Osellame,Paolo Mataloni,Fabio Sciarrino +8 more
TL;DR: A new quantum interferometric scheme based on three-dimensional waveguide devices based on Fock states is proposed and theoretically investigated, expected to open new perspectives to quantum enhanced sensing and metrology performed in integrated photonics.
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.