We will focus for a large part of the course on stabiliser codes which have an analogue in classical error-correcting codes. This will give us an opportunity to delve into classical error-correction too and it will turn out that some constructions of quantum codes can be lifted from the classical case.
Lecturers: Simeon Ball (UPC) and Felix Huber (ICFO)
January 21st and 23rd, 2020. Two sessions of two hours each day of the course (morning/afternoon).
UPC

Since their introduction by Kurt Hensel in 1897, p-adic numbers have become ubiquitous in number theory, as they provide a way to use analytic techniques in arithmetic problems. These play a key role in most of modern results in number theory, such as Fermat’s Last Theorem, the known cases of the Birch and Swinnerton-Dyer conjecture, or the proof of the Sato-Tate conjecture. These lectures, aimed at a broad audience, aim to introduce several techniques that illustrate their power.

Dates: starting the week of the 23rd of March, 2020.