Quantum computation with abelian anyons

Seth Lloyd

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arXiv · quant-ph/0004010

Quantum computation with abelian anyons

Seth Lloyd

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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.

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Seth Lloyd. 2000-04-09. Quantum computation with abelian anyons. https://arxiv.org/abs/quant-ph/0004010

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