In my talk I will give a short introduction on quantum error correction. On the physics' side, the underlying mathematical model is based on complex finite dimensional vector spaces and their tensor products. Errors are modelled by linear transformations on these spaces. Surprisingly, despite its continuous nature, the problem of constructing error-correcting codes for quantum systems can be tackled with the help of discrete mathematics. The reduction of this problem uses concepts from representation theory and symplectic vector spaces. Finally we can employ classical error-correcting codes in constructing their quantum counterparts.

The slides are available in compressed post script or in compressed pdf format.