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Dynamic Symmetries and Entropic Inequalities in the Probability Representation of Quantum Mechanics (1102.2497v1)
Published 12 Feb 2011 in quant-ph
Abstract: The probability representation of quantum and classical statistical mechanics is discussed. Symplectic tomography, center-of-mass tomography, and spin tomography are studied. The connection of tomographic probabilities with dynamic symmetries like symplectic group is considered. Entropic uncertainty relations and inequalities for spin tomograms are reviewed.