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Extending additivity from symmetric to asymmetric channels

Motohisa Fukuda
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Abstract

We prove a lemma which allows one to extend results about the additivity of the minimal output entropy from highly symmetric channels to a much larger class. A similar result holds for the maximal output $p$-norm. Examples are given showing its use in a variety of situations. In particular, we prove the additivity and the multiplicativity for the shifted depolarising channel.

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Motohisa Fukuda. 2005-08-14. Extending additivity from symmetric to asymmetric channels. https://doi.org/10.1088/0305-4470/38/45/l02

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