title: Topological quantum computing with only one mobile quasiparticle.
abstract: In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed.
authors.affiliation: Bell Laboratories, Lucent Technologies, 700 Mountain Avenue, Murray Hill, New Jersey 07974, USA.
authors.forename: S H
authors.initials: SH
authors.lastname: Simon
authors.forename: N E
authors.initials: NE
authors.lastname: Bonesteel
authors.forename: M H
authors.initials: MH
authors.lastname: Freedman
authors.forename: N
authors.initials: N
authors.lastname: Petrovic
authors.forename: L
authors.initials: L
authors.lastname: Hormozi