Department of Physics, University of Oxford, Oxford, UK
22 February 2017
Topological Matter and Why You Should be Interested
In two dimensional topological phases of matter, processes depend on gross topology rather than detailed geometry. Particle world lines can be interpreted as knots or links, and the amplitude for certain processes becomes a topological invariant of that link. While sounding rather exotic, we believe that such phases of matter exist, and have been observed in experiment, and could provide a uniquely practical route to building a quantum computer.