Last week, at the invitation of Hun Hee Lee, I gave a series of three lectures on some applications of random matrix theory to problems in quantum information theory. The notes are available here. After discussing the Marchenko–Pastur theorem, I present my result with Teo Banica on partial transposition of random quantum states; this is also the occasion to review some basic facts from free probability. The third lecture dealt with random quantum channels, and I covered the results I obtained with Serban Belinschi and Benoit Collins here and here.
RT @cdf1530 #Actualité Mme Sonia Garel et M. Timothy Gowers sont nommés professeurs du Collège de France, respectivement sur les chaires "Neurobiologie et immunité" et "Combinatoire", à compter de l’année universitaire 2020-2021 => college-de-france.fr/site/act… pic.twitter.com/wAPuGszvVn
@markwilde Thanks Mark! We have a few results, but many conjectures. For starters, we think that a classically unsolvable grid cannot be solved as a #SudoQ, and, similarly, grids with a unique classical solution have a unique #SudoQ solution.