Homological codes and abelian anyons

DOI10.1142/S0129055X19500387zbMath1433.81057arXiv1505.01001MaRDI QIDQ5216764

Péter Vrana, Máté Farkas

Publication date: 20 February 2020

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01001

zbMATH Keywords

cellular homologyhomological codesabelian anyons

Mathematics Subject Classification ID

Quantum computation (81P68) Cellular automata (computational aspects) (68Q80) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Chain complexes in algebraic topology (55U15) Anyons (81V27)

Related Items (1)

Kitaev's stabilizer code and chain complex theory of bicommutative Hopf algebras

Cites Work

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• LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE
• Haag duality for Kitaev’s quantum double model for abelian groups
• Topological quantum memory
• Homological product codes
• A statistical mechanics view on Kitaev's proposal for quantum memories
• Kosaki-Longo index and classification of charges in 2D quantum spin models
• A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)
• Theory of operator algebras I.

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