Seoul lectures on some applications of random matrices to quantum information theory

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.

This entry was posted in conferences, lecture notes, quantum information theory, random matrices, random quantum states, talks. Bookmark the permalink.

Leave a Reply

Your email address will not be published.

÷ 3 = 1

This site uses Akismet to reduce spam. Learn how your comment data is processed.