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 @QIPConference The early-bird registration deadline for #QIP2022 has been extended to Jan 28 and the deadline for travel support applications to Jan 24. The conference will be held in-person with a significant hybrid/online component. More details to be announced by the end of the week!
RT @ccanonne_ Indeed, as roughly a third of respondents answered: the proof is not only very simple, it also applies to arbitrarily correlated (sub)Gaussians to give the same √(2log n) bound! Baffling this bound is tight, given how lossy the sequence of steps seems (Jensen, then max ≤ ∑?!) twitter.com/ccanonne_/stat… pic.twitter.com/j2NqUUihTG
RT @Gemma_DLC Dan Garisto (@dangaristo) has written this very nice piece for Quanta magazine (@QuantaMagazine) on the (quantum) magic of Euler’s officers - the recent finding of an AME(4,6) state. Also featuring Ion Nechita (@nechita_ion) quantamagazine.org/eulers-243…
RT @thomasgwong I wrote a FREE introductory quantum computing textbook! The only prerequisite is trigonometry. It's essentially the #PHY595 course I've been teaching at @Creighton since 2018. Download it from my website at thomaswong.net. (1/n) pic.twitter.com/4K4P3Hy1hg
Alice and Bob doing something else than usual youtu.be/ltLUadnCyi0 Postponing the tedious computations for as long as possible is definitely a good habit. Working out simple examples early is more on the "computation" side, but the goal is the same: building insight. pic.twitter.com/zG5qG2s2G8