Universal Quantum Computation with Abelian Anyon Models
Electronic Notes in Theoretical Computer Science (ENTCS)
On the structure of protocols for magic state distillation
TQC'09 Proceedings of the 4th international conference on Theory of Quantum Computation, Communication, and Cryptography
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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