### Lecture 1: Random matrix theory with a view towards free probability, and connections to quantum information

Nechita, IA *(CNRS/Université de Toulouse)*

Tuesday 03 September 2013, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

I will discuss results in random matrix theory that have found applications in quantum information. The approach will be mainly combinatorial and this will be the occasion to introduce the audience to free probability theory. The main points will be illustrated with examples coming from quantum information: random density matrices, thresholds for entanglement criteria, minimum output entropies for random quantum channels.

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