Bures--Kuratowski metrics and simplicial complexes for completely bounded maps

Remus Floricel, Sarah Plosker, Avner Sadikov

Let $A$ be a unital $C^{\ast }$-algebra and $H$ a Hilbert space. The cone $\CP(A,B(H))$ of completely positive maps carries the Bures metric ${\hat{I}}^2$, closely related to the cb-norm. We intr…