%0 Conference Paper
%A DiVincenzo, David
%T Topological Trouble: The Problem with Braiding Majoranas
%I Chalmers University
%M FZJ-2017-08181
%D 2017
%X I will begin with a general discussion of anyons, of which Majoranas are an example.  I continue with a discussion of why particle statistics in 2D can be neither bosonic nor fermionic, nor even abelian, and what it means for the charge to be fractional.  A simple model of Kitaev, of electrons hopping on a branched 1D lattice with strong spin-orbit coupling and superconducting pairing, is sufficient to describe Majoranas and the gates that can be done by moving them around each other (braiding).  I discuss a model calculation of the decohence of these Majorana qubits during braiding in a trijunction, due to thermally generated quasiparticles (bosonic environment).  The limitations to coherence are significant; topological protection doesn't really work in this scenario.  (work with Dr. Fabio Pedrocchi)
%B Kolloquium
%C 7 Dec 2017 - 8 Dec 2017, Goetheburg (Schweden)
Y2 7 Dec 2017 - 8 Dec 2017
M2 Goetheburg, Schweden
%F PUB:(DE-HGF)31
%9 Talk (non-conference)
%U https://juser.fz-juelich.de/record/841081