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The minimum Renyi and Wehrl output entropies are found for bosonic channelsin which the signal photons are either randomly displaced by a Gaussiandistribution (classical-noise channel), or in which they are coupled to athermal environment through lossy propagation (thermal-noise channel). It isshown that the Renyi output entropies of integer orders z>1 and the outputWehrl entropy are minimized when the channel input is a coherent state.Comment: Minimal revision. Accepted for publication on Phys. Rev.

Minimum Rényi and Wehrl entropies at the output of bosonic channels