title: Topological computation without braiding.
abstract: We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In particular, we show how this can be achieved using brane-net condensates in 3-colexes. The universal set of gates is implemented without selective addressing of physical qubits and, being fully topologically protected, it does not rely on quasiparticle excitations or their braiding.
authors.affiliation: Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain.
authors.forename: H
authors.initials: H
authors.lastname: Bombin
authors.forename: M A
authors.initials: MA
authors.lastname: Martin-Delgado