Introduces 2-indexed Schatten quasi-norms and proves their super-multiplicativity on quantum channels, implying additivity of Rényi conditional entropies for alpha >= 1/2.
Paulsen.Completely Bounded Maps and Operator Algebras
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Two-Indexed Schatten Quasi-Norms with Applications to Quantum Information Theory
Introduces 2-indexed Schatten quasi-norms and proves their super-multiplicativity on quantum channels, implying additivity of Rényi conditional entropies for alpha >= 1/2.