# Category: random matrices

## RTNI – A symbolic integrator for Haar-random tensor networks

Together with Motohisa Fukuda and Robert König we have a new paper (and some code!) RTNI – A symbolic integrator for Haar-random tensor networks. This is a very unusual paper for me: the main goal here is not to prove theorems but to introduce a piece of software we developed:

## Random quantum measurements

We have a new paper together with Teiko Heinosaari and Maria Anastasia Jivulescu: Random positive operator valued measures. We introduce and analyze different models of random quantum measurements (POVMs). We prove that two very natural procedures for generating random POVMs are actually identical and then we analyze in detail the

## 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

This is the first post in a series about a problem inside RMT $\cap$ QIT that I have been working on for some time now [cn2,bcn]. Since I find it to be very simple and interesting, I will present it in a series of blog notes that should be accessible