Deformed entropy and information relations for composite and noncomposite systems
arXiv:1412.6771 · doi:10.1007/s10701-015-9890-9
Abstract
The notion of conditional entropy is extended to noncomposite systems. The q-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki{Lieb inequality is found for systems without subsystems.
submitted to Foundations of Physics (to special issue "Probing the limits of quantum mechanics: theory and experiment", Conference on Quantum theory: from Problems to Advances, Växjö, Sweden,9-12 June 2014)
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