| 概要 | Free probability was introduced in the early eighties by Voiculescu. It was initially a field at the intersection of non-commutative probability theory and operator algebras. Soon it evolved into a very versatile tool with deep connections to random matrix theory, combinatorics, and many applications. Today, we will discuss a recently uncovered application of free probability, to quantum information theory. In particular, we will explain why free probability allows to understand in depth the celebrated random counter-examples to the minimum output entropy additivity problem for quantum channels. |