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@INPROCEEDINGS{DiVincenzo:841081,
      author       = {DiVincenzo, David},
      title        = {{T}opological {T}rouble: {T}he {P}roblem with {B}raiding
                      {M}ajoranas},
      school       = {Chalmers University},
      reportid     = {FZJ-2017-08181},
      year         = {2017},
      abstract     = {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)},
      month         = {Dec},
      date          = {2017-12-07},
      organization  = {Kolloquium, Goetheburg (Schweden), 7
                       Dec 2017 - 8 Dec 2017},
      subtyp        = {Invited},
      cin          = {IAS-3 / PGI-2},
      cid          = {I:(DE-Juel1)IAS-3-20090406 / I:(DE-Juel1)PGI-2-20110106},
      pnm          = {144 - Controlling Collective States (POF3-144)},
      pid          = {G:(DE-HGF)POF3-144},
      typ          = {PUB:(DE-HGF)31},
      url          = {https://juser.fz-juelich.de/record/841081},
}