  This book is a compilation of notes from a two-week international workshop on
the "The Functional Analysis of Quantum Information Theory" that was held at
the Institute of Mathematical Sciences during 26/12/2011-06/01/2012. The
workshop was devoted to the mathematical framework of quantized functional
analysis (QFA), and aimed at illustrating its applications to problems in
quantum communication. The lectures were given by Gilles Pisier (Pierre and
Marie Curie University and Texas A&M), K.R. Parthasarathy (ISI Delhi), Vern
Paulsen (University of Houston), and Andreas Winter (Universitat Autonoma de
Barcelona). Topics discussed include Operator Spaces and Completely bounded
maps, Schmidt number and Schmidt rank of bipartite entangled states, Operator
Systems and Completely Positive Maps, and, Operator Methods in Quantum
Information.
