Generalized relative entropies and the capacity of classical-quantum channels
نویسندگان
چکیده
We provide lower and upper bounds on the information transmission capacity of one single use of a classical-quantum channel. The lower bound is expressed in terms of the Hoe ding capacity, that we de ne similarly to the Holevo capacity, but replacing the relative entropy with the Hoe ding distance. Similarly, our upper bound is in terms of a quantity obtained by replacing the relative entropy with the recently introduced max-relative entropy in the de nition of the divergence radius of a channel. AMS classi cation: 94A24, 94A17
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