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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
Thermodynamic Uncertainty Relation for General Open Quantum Systems.
TL;DR: In this article, a thermodynamic uncertainty relation for general open quantum dynamics, described by a joint unitary evolution on a composite system comprising a system and an environment, was derived, and the relation was satisfied for classical Markov processes with arbitrary time-dependent transition rates and initial states.
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Minimax quantum-state discrimination
TL;DR: In this paper, the optimal measurement for quantum-state discrimination without a priori probabilities was derived in a minimax strategy instead of the usually considered Bayesian one, and the relation between the optimal measurements according to the two schemes was provided.
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Bipartite entanglement in systems of identical particles: the partial transposition criterion
TL;DR: In this article, the bipartite entanglement in systems of N identical bosons distributed in M different modes is studied and a definition of separability not related to any a priori Hilbert space tensor product structure is given in terms of commuting subalgebras of observables.
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Fisher information and uncertainty complementarity
TL;DR: The Cramer-Rao inequality (CRI) as discussed by the authors is a general uncertainty relation expressing reciprocity between the mean-square error in an estimate and the Fisher information I present in the data.
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Quantum Noise Randomized Ciphers
Ranjith Nair,Horace P. Yuen,Eric Corndorf,Eric Corndorf,Takami Eguchi,Takami Eguchi,Prem Kumar +6 more
TL;DR: It is shown how {alpha}{eta} used in conjunction with any standard stream cipher such as the Advanced Encryption Standard provides an additional, qualitatively different layer of security from physical encryption against known-plaintext attacks on the key.
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.