Alladi Ramakrishnan Hall

Bures distance between completely positive maps.

K. Sumesh

IMSc

Our aim is to introduce the notion of Bures distance between completely
positive maps and study their properties. We give it as a series of
lectures since it requires some basic theory of Hilbert C^*-modules.

First lecture: We quickly recall some basic definitions from C^*-algebras.
Then define positive and completely positive maps between C^*-algebras.
Discuss Choi-Kraus decomposition theorem, Stinespring's representation
theorem for completely positive maps and some examples.