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.
- Counting meanders
- Bipartite unitary operators and quantum Latin squares
- Quantum Information semester in Paris, autumn 2017
- Seoul lectures on some applications of random matrices to quantum information theory
- Linear Matrix Inequalities, Semidefinite Programming and Quantum Information Theory, Toulouse 18-22 January 2016