Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory

We propose a framework for topological quantum computation using newly discovered nonsemisimple analogs of topological quantum field theories in 2+1 dimensions. These enhanced theories offer more powerful models for quantum computation: while the conventional theory of Ising anyons is not universal for quantum computation via braiding of quasiparticles, we show that the non-semisimple theory introduces new anyon types that extend the Ising framework. By adding just one new anyon type, universal quantum computation can be achieved through braiding alone.