Coauthors: Rajesh Pereira

The relationship between characteristics of quantum channels and the geometry of their respective sets can provide a useful insight to some of their underlying properties. The aim of this talk is twofold; one, to introduce the notion of random unitary channels, and two, to describe the relevance of a particular class of unital completely positive trace preserving maps, namely the Schur maps. Schur maps have several properties which are useful in the geometric descriptions of the convex sets of random unitary channels and correlation matrices. Some preliminary results concerning these areas will be presented and future work will be discussed.