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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
Symmetry principles in quantum systems theory
TL;DR: In this paper, the authors give a complete lattice of irreducible simple subalgebras of su(2n) for up to n = 15 qubits.
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Usefulness of entanglement-assisted quantum metrology
TL;DR: Demkowicz-Dobrza et al. as discussed by the authors apply the same framework to quantum metrology, introducing shared entanglement between the probe and the ancilla in the preparation stage and allowing entangling operations at the measurement stage, i.e., using some entangled ancillary system that does not interact with the system to be sampled.
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Quantum information becomes classical when distributed to many users.
TL;DR: Any physical transformation that equally distributes quantum information over a large number M of users can be approximated by a classical broadcasting of measurement outcomes via quantum state estimation.
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Quantum stochastic processes I
TL;DR: There is a very strong analogy between the evolution of an open quantum system and the development of a classical stochastic process in Doob’s sense, and that it is possible to construct a mathematical theory which embraces them both.
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Single-atom quantum probes for ultracold gases using nonequilibrium spin dynamics
Quentin Bouton,Jens Nettersheim,Daniel Adam,Felix Schmidt,Daniel Mayer,Tobias Lausch,Eberhard Tiemann,Artur Widera +7 more
TL;DR: In this paper, the steady-state spin population is used for absolute thermometry, reducing temperature measurements to detection of quantum spin distributions, and the information gain per inelastic collision can be maximized by accessing the nonequilibrium spin dynamic.
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.