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.
Motohisa Fukuda from Yamagata University told us abuot his recent adventures in Deep Neural Network land. Slides available on our seminar's webpage lpt.ups-tlse.fr/sem-math-phys pic.twitter.com/5w3ZNk3KWh
@seanmcarroll on @joerogan podcast: physicists understand quantum mechanics in the same way that someone who owns a smartphone understands smartphones: they know how to use the apps ... but they don't know what's going on inside
New paper scirate.com/arxiv/1909.017… with Alexander Müller-Hermes from @QMATH_KU & David Reeb from @Bosch_AI on a QIT-inspired proof of a Positivstellensatz of Reznick relating positive polys to sums-of-squares. Cool fact: Laplacian Δ from analysis ≅ partial trace from algebra pic.twitter.com/G5ahMwobXC