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. Anyonic quantum computation might be realized using quasiparticles of the fractional quantum Hall effect.
PACS: 03.65-Lx
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Lloyd, S. Quantum Computation with Abelian Anyons. Quantum Information Processing 1, 13–18 (2002). https://doi.org/10.1023/A:1019649101654
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DOI: https://doi.org/10.1023/A:1019649101654