Geodesic
Convergence criterion for quantum relative entropy and its use
Sbornik. Mathematics, Tome 213 (2022) no. 12, pp. 1740-1772

Voir la notice de l'article provenant de la source Math-Net.Ru

A criterion and necessary conditions for the convergence (local continuity) of quantum relative entropy are obtained. Some applications of these results are considered. In particular, the preservation of the local continuity of quantum relative entropy under completely positive linear maps is established. Bibliography: 29 titles.
Keywords: separable Hilbert space, trace-class operator, quantum state, lower semicontinuous function, quantum operation, strong convergence of quantum operations. 
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     author = {M. E. Shirokov},
     title = {Convergence criterion for quantum relative entropy and its use},
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     url = {http://geodesic.mathdoc.fr/item/SM_2022_213_12_a6/}
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M. E. Shirokov. Convergence criterion for quantum relative entropy and its use. Sbornik. Mathematics, Tome 213 (2022) no. 12, pp. 1740-1772. http://geodesic.mathdoc.fr/item/SM_2022_213_12_a6/