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On the Quantum Rényi Relative Entropies and Related Capacity Formulas

On the Quantum Rényi Relative Entropies and Related Capacity Formulas

Following Csiszár's approach in classical information theory, it is shown that the quantum α-relative entropies with parameter α ∈ (0,1) can be represented as generalized cutoff rates, and hence a direct operational interpretation of the quantum α-relative entropies are provided. It is also shown that various generalizations of the Holevo …