Classical channels are ordered by a majorization preorder that arises identically from three definitions, and Shannon and Rényi entropies extend to channels through optimal extensions.
Operational one-to-one mapping between coherence and entanglement mea- sures
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Uncertainty and entropies of classical channels
Classical channels are ordered by a majorization preorder that arises identically from three definitions, and Shannon and Rényi entropies extend to channels through optimal extensions.