## 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

## Linear Matrix Inequalities, Semidefinite Programming and Quantum Information Theory, Toulouse 18-22 January 2016

I am organizing a week-long workshop in Toulouse, on topics of optimization problems in quantum information theory. Besides the usual research talks, there will be lectures by Aram Harrow, Jean Bernard Lasserre and Mihai Putinar on the topics of the workshop: linear matrix inequalities, semidefinite programming, and quantum information theory.

## Quantum Thermodynamics and Quantum Information Theory, Toulouse, 9-11 September 2015

I am one of the organizers of the workshop Quantum Thermodynamics and Quantum Information Theory that will take place in Toulouse, from 9-11 September 2015. Participation is free and open, so email one of the organizers if you are interested in the workshop.

## Random subspaces of a tensor product (II)

In this short post, I would like to discuss a special case of the construction introduced in the first part of the series, that is compute the set $K_{A_n}$, where $A_n \subset \mathbb C^n \otimes \mathbb C^n$ is the anti-symmetric subspace of the tensor product. This example plays an important

## 1/9801

A couple of days ago, I remembered the following fun fact from my high-school days in Romania: $! \frac{1}{9801}=0,(000102030405\cdots939495969799).$ First, note that I am using the European notation for periodic decimal expansions (or repeating decimals). What you get is a periodic expansion, where all the two-digit numbers from 00 to

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