Continuity and Stability of Partial Entropic Sums

Details Continuity and Stability of Partial Entropic Sums Continuity and Stability of Partial Entropic Sums

2009-10-10

arxiv.org/abs/0910.1903v2

Lett. Math. Phys. 94, 229 (2010)

Physics

Quantum Physics

9 pages, no figures. Some explanatory and technical improvements are made. The bibliography is extended. Detected errors and t

Scientific paper

10.1007/s11005-010-0440-2

Extensions of Fannes' inequality with partial sums of the Tsallis entropy are obtained for both the classical and quantum cases. The definition of kth partial sum under the prescribed order of terms is given. Basic properties of introduced entropic measures and some applications are discussed. The derived estimates provide a complete characterization of the continuity and stability properties in the refined scale. The results are also reformulated in terms of Uhlmann's partial fidelities.

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