Laboratoire de Physique Théorique

de la Matière Condensée

Janos Asboth (Wigner reserach center for physics, Budapest)

From topological order to quantum computing: the surface code and beyond (part 1)

Mini-lecture in three times 1.5 hours + questions

Building large-scale quantum computers from imperfect components requires quantum error correction, for which the most promising approach builds on concepts from topological order. In this minicourse (3 lectures) we will introduce topological order on the example of Kitaev's toric code model, and show how this leads to quantum error correction in the so-called surface code. We will also connect topological order to more general topological quantum computing, introduced via simple examples of models with non-abelian anyons: an abstract model for Fibonacci anyons and topological superconductors with Majorana zero modes (Ising anyons).

Lecture 1: "Kitaev's Toric Code and Surface Code"