Towards a homological Kitaev model

Towards a homological Kitaev model by Ulrich Krähmer (Dresden)

Abstract One of the key problems in building a quantum computer is error correction, and a key idea how to deal with it is Kitaev's toric code and its generalisations. I will explain this problem and this idea only assuming knowledge of basic linear algbera. At the end I will sketch the main results of recent work with Sebastian Halbig that extends the toric code to non-semisimple Hopf algebras.