title: Solovay-Kitaev decomposition strategy for single-qubit channels.
abstract: Inspired by the Solovay-Kitaev decomposition for approximating unitary operations as a sequence of operations selected from a universal quantum computing gate set, we introduce a method for approximating any single-qubit channel using single-qubit gates and the controlled-not (cnot). Our approach uses the decomposition of the single-qubit channel into a convex combination of "quasiextreme" channels. Previous techniques for simulating general single-qubit channels would require as many as 20 cnot gates, whereas ours only needs one, bringing it within the range of current experiments.
authors.affiliation: Institute for Quantum Science and Technology, University of Calgary, Alberta T2N 1N4, Canada.
authors.forename: Dong-Sheng
authors.initials: DS
authors.lastname: Wang
authors.forename: Dominic W
authors.initials: DW
authors.lastname: Berry
authors.forename: Marcos C
authors.initials: MC
authors.lastname: de Oliveira
authors.forename: Barry C
authors.initials: BC
authors.lastname: Sanders