TY - CONF AU - DiVincenzo, David TI - Topological Trouble: The Problem with Braiding Majoranas PB - Chalmers University M1 - FZJ-2017-08181 PY - 2017 AB - 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) T2 - Kolloquium CY - 7 Dec 2017 - 8 Dec 2017, Goetheburg (Schweden) Y2 - 7 Dec 2017 - 8 Dec 2017 M2 - Goetheburg, Schweden LB - PUB:(DE-HGF)31 UR - https://juser.fz-juelich.de/record/841081 ER -