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We show that the recently discovered universal upper bound on the thermalconductance of a single channel comprising particles obeying arbitraryfractional statistics is in fact a consequence of a more general universalupper bound, involving the averaged entropy and energy currents of a singlechannel connecting heat reservoirs with arbitrary temperatures and chemicalpotentials. The latter upper bound in turn leads, via Holevo's theorem, to auniversal (i.e., statistics independent) upper bound on the optimum capacityfor classical information transmission down a single, wideband quantum channel.Comment: 4 figures added; minor changes to text. To appear in Phys. Rev. A,  Vol. 62, Nov. 200

Universal quantum limits on single-channel information, entropy, and heat flow