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Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces (1509.04362v1)
Published 15 Sep 2015 in math.FA
Abstract: Some inequalities for quantum f-divergence of trace class operators in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds for quantum f-divergence in terms of variational and chi-distance are provided. Applications for some classes of divergence measures such as Umegaki and Tsallis relative entropies are also given.
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