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There are different inequivalent ways to define the Re&#x0301;nyi capacity of a channel for a fixed input distribution. In [IEEE Transactions on Information Theory, 41(1):26-34, 1995], Csisza&#x0301;r has shown that for classical discrete memoryless channels there is a distinguished such quantity that has an operational interpretation as a generalized cutoff rate for constant composition channel coding. We show that the analogous notion of Re&#x0301;nyi capacity, defined in terms of the sandwiched quantum Re&#x0301;nyi divergences, has the same operational interpretation in the strong converse problem of constant composition classical-quantum channel coding.

Divergence Radii and the Strong Converse Exponent of Classical-Quantum Channel Coding With Constant Compositions