Continuity and Stability of Partial Entropic Sums - Quantum PhysicsReport as inadecuate




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Abstract: Extensions of Fannes- inequality with partial sums of the Tsallis entropy areobtained for both the classical and quantum cases. The definition of kthpartial sum under the prescribed order of terms is given. Basic properties ofintroduced entropic measures and some applications are discussed. The derivedestimates provide a complete characterization of the continuity and stabilityproperties in the refined scale. The results are also reformulated in terms ofUhlmann-s partial fidelities.



Author: Alexey E. Rastegin

Source: https://arxiv.org/







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