Topological Quantum Computing

Ananda Roy; David P. DiVincenzo

Topological Quantum Computing

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arxiv 1701.05052 v1 pith:WVN2CR4U submitted 2017-01-18 quant-ph cond-mat.mes-hall

Ananda Roy , David P. DiVincenzo This is my paper · ORCID

classification quant-phcond-mat.mes-hall

keywords topologicallecturenotespartquantumabeliananyonsbasics

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This set of lecture notes forms the basis of a series of lectures delivered at the 48th IFF Spring School 2017 on Topological Matter: Topological Insulators, Skyrmions and Majoranas at Forschungszentrum Juelich, Germany. The first part of the lecture notes covers the basics of abelian and non-abelian anyons and their realization in the Kitaev's honeycomb model. The second part discusses how to perform universal quantum computation using Majorana fermions.

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Topologically nontrivial multicritical points
cond-mat.dis-nn 2025-07 conditional novelty 5.0 of 10

Under a parameter condition (Γ0 ≤ Γ2/3), multicritical points in a third-neighbor SSH/Kitaev chain retain one localized zero-energy edge mode per end, giving a topological invariant w_mc = 1.

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