title: Holonomic quantum computation in decoherence-free subspaces.
abstract: We show how to realize, by means of non-Abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum information processing using trapped ions and quantum dots.
authors.affiliation: Chemistry Department and Center for Quantum Information and Quantum Control, University of Toronto, 80 St. George St., Toronto, Ontario M5S 3H6, Canada.
authors.forename: L-A
authors.initials: LA
authors.lastname: Wu
authors.forename: P
authors.initials: P
authors.lastname: Zanardi
authors.forename: D A
authors.initials: DA
authors.lastname: Lidar