21/06/2017, 14:15 — 15:15 — Room P3.10, Mathematics Building
Louis H. Kauffman, University of Illinois, Chicago, USA
Majorana Fermions, Braiding and Quantum Computing
We will discuss the mathematics of Majorana Fermions and the structure of representations of the Artin Braid group that are associated with them. We will discuss how one class of representations is related to the Temperley Lieb algebra, and another class of representations is related to a Hamiltonian constructed from the Bell-Basis solution of the Yang-Baxter equation, and the relationship of this Hamiltonian with the Kitaev spin chain. We will discuss how these braiding representations are related to topological quantum computing.