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 @UT3PaulSabatier #Hommage Contre la barbarie, contre l'intolérable atteinte à nos valeurs de #liberté, #laïcité et #respect, la communauté universitaire de l'université fait bloc : rassemblement ce mardi 20 octobre à 12h30. 📍 UT3 Paul Sabatier sur le parvis Paul Sabatier. univ-tlse3.fr/rassemblement-…
RT @QWorld19 Join our first QTalk with Women by Laura Mančinska :) She will share her professional journey into the strange world of quantum superposition and entanglement ;-) Watch from youtu.be/B-kvsecj9A8 Receiving a reminder: forms.gle/Z7bxkDjYgshujk… #qworldchallenge2020 pic.twitter.com/uG2xmKlrfj
RT @_____satvik Wrote a mini book with @nechita_ion on diagonal unitary/orthogonal symmetries in quantum theory: scirate.com/arxiv/2010.078… Stay tuned for some interesting entanglement-theoretic consequences that stem from our work!
New paper with @_____satvik about quantum states and channels which are invariant under the local action of 𝘥𝘪𝘢𝘨𝘰𝘯𝘢𝘭 unitary and orthogonal groups. Follow-up paper on PPT² conjecture for such channels coming soon... scirate.com/arxiv/2010.078… pic.twitter.com/W2CLp9vaSO