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 @sigfpe I've been meaning to plot this for ages. I'm guessing it's something everyone who takes an information theory course does - but I haven't. I hope the labels make it self-explanatory. (Markov source next if I find a spare moment...) pic.twitter.com/ZlkmwrgtNf
New paper from Cuesta and Wolf arxiv.org/abs/1812.10019 : Are almost-symmetries almost linear? It d-pends...