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
Fisher information and entanglement of non-Gaussian spin states
Helmut Strobel,W. Muessel,Daniel Linnemann,Tilman Zibold,D. B. Hume,Luca Pezzè,Augusto Smerzi,Markus K. Oberthaler +7 more
TL;DR: A general method is developed to extract the Fisher information, which reveals that the quantum dynamics of a classically unstable system creates quantum states that are not spin squeezed but nevertheless entangled, which quantifies metrologically useful entanglement.
Journal ArticleDOI
Cryptanalysis of the Hillery-Bužek-Berthiaume quantum secret-sharing protocol
TL;DR: A method is presented to analyze the security of quantum secret-sharing protocols against this kind of attack taking the scheme of Hillery, Buzek, and Berthiaume (HBB) as an example, and shows that the HBB protocol is insecure against dishonest participants.
Journal ArticleDOI
Quantum information with Gaussian states
TL;DR: This work reviews the properties and applications of Gaussian states in quantum information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups.
Posted Content
Evaluating capacities of Bosonic Gaussian channels
TL;DR: It is shown how to compute or at least to estimate various capacity-related quantities for bosonic Gaussian channels, including the coherent information, the entanglement-assisted classical capacity, the one-shot classical capacity and a quantity involving the transpose operation, shown to be a general upper bound on the quantum capacity.
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.