Extending additivity from symmetric to asymmetric channels

Details Extending additivity from symmetric to asymmetric channels Extending additivity from symmetric to asymmetric channels

2005-05-04

arxiv.org/abs/quant-ph/0505022v4

J. Phys. A: Math. Gen. 38 (2005) L753-L758

Physics

Quantum Physics

8 pages. This is the latest version of the first half of the original paper. The other half will appear in another paper

Scientific paper

10.1088/0305-4470/38/45/L02

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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