Quantum computation with abelian anyons

Abstract

A universal quantum computer can be constructed using abelian anyons. Two qubit quantum logic gates such as controlled-NOT operations are performed using topological effects. Single-anyon operations such as hopping from site to site on a lattice suffice to perform all quantum logic operations. Quantum computation using abelian anyons shares some but not all of the robustness of quantum computation using non-abelian anyons.

8 pages, plain TeX, replaced to correct extreme error in ealier version

References in corpus (1)

• Quantum information and physics: some future directions

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