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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
Three-state quantum cryptography
TL;DR: A protocol for quantum key distribution using three mutually non-orthogonal states that generates key bits most efficiently for three symmetric states is introduced.
Journal ArticleDOI
Quadrature phase shift keying coherent state discrimination via a hybrid receiver
Christian Müller,Christian Müller,Mario A. Usuga,Mario A. Usuga,Christoffer Wittmann,Christoffer Wittmann,Masahiro Takeoka,Ch. Marquardt,Ch. Marquardt,Ulrik L. Andersen,Ulrik L. Andersen,Gerd Leuchs,Gerd Leuchs +12 more
TL;DR: In this article, the authors proposed and experimentally demonstrated a near-optimal discrimination scheme for the quadrature phase shift keying (QPSK) protocol, which is composed of a quadratures measurement, a conditional displacement and a threshold detector.
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Quantum State Smoothing.
Ivonne Guevara,Howard M. Wiseman +1 more
TL;DR: In this paper, the authors define a smoothed quantum state for a partially monitored open quantum system, conditioned on an all-time monitoring-derived record, and calculate the smoothed distribution for a hypothetical unobserved record which, when added to the real record, would complete the monitoring, yielding a pure-state "quantum trajectory."
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Quantum parameter estimation with general dynamics
Haidong Yuan,Chi-Hang Fred Fung +1 more
TL;DR: Yuan et al. as discussed by the authors presented a general framework for quantum parameter estimation and provided systematic methods for computing the ultimate precision limit, which is more general and efficient than conventional methods. But the method does not make any assumptions and is more efficient than existing methods.
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Tight bounds on the simultaneous estimation of incompatible parameters
TL;DR: In this article, the Holevo Cramer-Rao bound (HCRB) has been used for multi-parameter estimation problems in quantum metrology, and a lower bound for the HCRB has been derived.
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.