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.
A piece in @NatureNews about the recent breakthrough MIP*=RE nature.com/articles/d4158… Excerpt from the last paragraph: "...Connes himself told Nature that he was not qualified to comment. But he added that he was surprised by how many ramifications it turned out to have."
@SinH4 @Marco_Piani @markwilde @ChristophHirche @enclanglement I use it to promote papers I find interesting, definitely not to endorse. It doubles down as a bookmark system, kind of a to-read(-in-the-afterlife) list 😄