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Characterizing the dynamical semigroups that do not decrease a quantum entropy

Characterizing the dynamical semigroups that do not decrease a quantum entropy

In finite dimensions, we provide characterizations of the quantum dynamical semigroups that do not decrease the von Neumann, the Tsallis and the Rényi entropies, as well as a family of functions of density operators strictly related to the Schatten norms. A few remarkable consequences—in particular, a description of the associated …