Maximal output purity and capacity for asymmetric unital qudit channels

Details Maximal output purity and capacity for asymmetric unital qudit channels Maximal output purity and capacity for asymmetric unital qudit channels

2005-05-08

arxiv.org/abs/quant-ph/0505048v4

J. Phys. A: Math. Gen. 3, 9785-9802 (2005)

Physics

Quantum Physics

Added a few references in v4. Previously added a section on numerical studies giving evidence for additivity of channel capaci

Scientific paper

10.1088/0305-4470/38/45/005

We consider generalizations of depolarizing channels to maps in which the identity channel is replaced by a convex combinations of unitary conjugations. We show that one can construct unital channels of this type for which the input which achieves maximal output purity is unique. We give conditions under which multiplicativity of the maximal p-norm and additivity of the minimal output entropy. We also show that the Holevo capacity need not equal log d - the minimal entropy as one might expect for a convex combination of unitary conjugations. Conversely, we give examples for which this condition holds, but the channel has no evident covariance properties.

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