title: Braiding of atomic majorana fermions in wire networks and implementation of the Deutsch-Jozsa algorithm.
abstract: We propose an efficient protocol for braiding Majorana fermions realized as edge states in atomic wire networks, and demonstrate its robustness against experimentally relevant errors. The braiding of two Majorana fermions located on one side of two adjacent wires requires only a few local operations on this side which can be implemented using local site addressing available in current experiments with cold atoms and molecules. Based on this protocol we provide an experimentally feasible implementation of the Deutsch-Jozsa algorithm for two qubits in a topologically protected way.
authors.affiliation: Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria and Institute for Theoretical Physics, Innsbruck University, A-6020 Innsbruck, Austria.
authors.forename: Christina V
authors.initials: CV
authors.lastname: Kraus
authors.forename: P
authors.initials: P
authors.lastname: Zoller
authors.forename: Mikhail A
authors.initials: MA
authors.lastname: Baranov