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 @BartoszRegula We show that the asymmetric (Stein) error exponent and the symmetric (Chernoff) exponent are given by two related quantities: the Hilbert projective metric and Thompson metric. This corresponds to the relative entropy and the Chernoff divergence in the conventional setting. 3/ pic.twitter.com/xpmlvtkC5N
RT @johncarlosbaez Hardcore math tweet: Young diagrams. This is a prelude to my talk today... I can't think about anything else, so I might as well tweet about them. Young diagrams can be used to classify many things. Let me list just 13 of them. (1/n) pic.twitter.com/N5azEY9lza
Sang-Jun Park from SNU is visiting our group for 3 months. Today he is telling us about his work on entanglement detection of invariant quantum states pic.twitter.com/aLInqDrV4T
RT @LoulidiFaedi My second paper: Alice and Bob playing a game, is it necessary for Alice observes a violation of Bell inequality to use incompatible measurement, or incompatible measurement will lead necessarily to a violation of Bell inequality? arxiv.org/abs/2205.12668 pic.twitter.com/07gH0qMfRj