arXiv:math-ph/0607019 Abstract

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Properties of probability measures on the set of quantum states and their applications

Published 2006-07-11, updated 2011-03-27Version 4

Two basic properties of the set of all probability measures on the set of quantum states and their corollaries are considered. Several applications of these properties to analysis of functional constructions widely used in quantum information theory are discussed.

Comments: 19 pages; completely revised version, several new results have been added

Categories: math-ph, math.FA, math.MP, quant-ph

Keywords: probability measures, quantum states, applications, quantum information theory, basic properties

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