Generalized relative entropies and the capacity of classical-quantum channels

Milan Mosonyi; Nilanjana Datta

doi:10.1063/1.3167288

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arXiv · 0810.3478

Generalized relative entropies and the capacity of classical-quantum channels

Milan Mosonyi·Nilanjana Datta

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Abstract

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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Milan Mosonyi, Nilanjana Datta. 2009-07-24. Generalized relative entropies and the capacity of classical-quantum channels. https://doi.org/10.1063/1.3167288

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