Noncommutative Harmonic Analysis and Quantum Information

Abstract

Quantum information theory deals with the way information can be exchanged using the laws of quantum mechanics. The field is relatively young, but has seen an extaordinary rapid development over the past decade. The particular focus of this workshop is the analysis of quantum information theory and its connections to infinite dimensional systems and operator algebras. On the other hand the theory of noncommutative harmonic analysis has established itself further in a parallel development, with successful attempts at generalizing the theory of singular integrals and Fourier multipliers in the noncommutative realm. While there are close ties between the mathematics underpinning noncommutative harmonic analysis and quantum information theory, the two fields have so far remained largely disjoint, despite ample evidence that there could be a fruitful cross pollination between the two. In this workshop we have brought together some of the leading experts in both fields, as well as talented young mathematicians.