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

Tuesday 3rd September 2013 - 14:00 to 15:00
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons