Gilles Zémor: Quantum error correction - Lecture 1

It is widely assumed that we will not have large-scale quantum computers without a fair amount of built-in quantum error correction. Quantum error-correcting codes address precisely this issue. They generalise the theory of classical error-correcting codes, drawing upon many of its concepts, and introduce significant differences as well. We will recall the most relevant concepts of classical error correction and introduce quantum stabiliser codes, as well as the somewhat more manageable subclass of CSS codes. We will then steer the lectures towards the modern topic of quantum Low Density Parity Check (LDPC) codes that have recently seen striking new developments. Recording during the CEMRACS Summer School : «Quantum Computing» the July 16, 2025 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker : Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area