Generalized relative entropies and the capacity of classical-quantum channels

Details Generalized relative entropies and the capacity of classical-quantum channels Generalized relative entropies and the capacity of classical-quantum channels

2008-10-20

arxiv.org/abs/0810.3478v4

J. Math. Phys. 50, 072104 (2009)

Physics

Quantum Physics

Published version

Scientific paper

10.1063/1.3167288

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 Hoeffding capacity, that we define similarly to the Holevo capacity, but replacing the relative entropy with the Hoeffding 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 definition of the divergence radius of a channel.

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