Topic
Operator (computer programming)
About: Operator (computer programming) is a research topic. Over the lifetime, 40896 publications have been published within this topic receiving 671452 citations. The topic is also known as: operator symbol & operator name.
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15 Sep 2003
TL;DR: In this article, the error probabilities of two density operators were derived based on a key operator inequality between a density operator and a conditional expectation of it. And the upper bounds on the error exponents were shown to lead to a noncommutative analog of the Hoeffding bound for the quantum Stein's lemma.
Abstract: In the simple quantum hypothesis testing problem for two density operators, upper bounds on the error probabilities are shown based on a key operator inequality between a density operator and a conditional expectation of it. Concerning the error exponents, the upper bounds lead to a noncommutative analog of the Hoeffding bound, which is identical with the classical counterpart if two density operators commute. The upper bounds also provide a simple proof of the direct part of the quantum Stein's lemma.
123 citations
TL;DR: In this paper, integrable spin chains are used for the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain.
Abstract: The relation between the dilatation operator of = 4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX1/2 chain.
122 citations
Patent•
30 Jan 2006
TL;DR: In this paper, a method and system for using Threat Imaging Projection (TIP) technology, and the operator testing data that it generates, in order to certify x-ray inspection system operators and thereby assure an acceptable and uniform level of operator performance.
Abstract: A method and system for using Threat Imaging Projection (TIP) technology, and the operator testing data that it generates, in order to certify x-ray inspection system operators and thereby assure an acceptable and uniform level of operator performance. In a preferred configuration, the operator views x-ray images of objects on a screening system equipped with TIP technology. When the operator believes that a threat item image appears on the screening system, the operator indicates such via an indicating means. The system is capable of recording, storing and transmitting individual operator performance data relating to proper detections, missed detections, and false alarms, i.e., when an operator indicates that a threat item image appears when no such image actually appears on the screening system. The system preferably contains a library of various threat item images, e.g., guns, bombs, knives, etc., which are classified according to type of threat and difficulty of detection.
122 citations
Book•
01 Jan 1978
TL;DR: The spectral picture of an operator can be obtained by pulling out direct summands from the spectral picture and reducing essential matricial spectra of the operator as mentioned in this paper, and spectral characterization of nonquasitriangular operators can be found in the Lomonosov technique.
Abstract: The spectral picture of an operator Pulling out direct summands The reducing essential matricial spectra of an operator Quasitriangular operators Spectral characterization of nonquasitriangular operators Approximation by nilpotent operators The Lomonosov technique A look at the invariant-subspace problem A model for quasinilpotent operators The Brown-Douglas-Fillmore theorem Bibliography.
122 citations
TL;DR: The consistence of the orness level and the aggregation value for any arbitrary aggregated elements with PGowA weights is proved and the equivalence of PGOWA and PMEOWA is proved.
122 citations