Oriented closed polyhedral maps and the Kitaev model

DOI10.3842/sigma.2024.048MaRDI QIDQ6568909

Kornél Szlachányi

Publication date: 8 July 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

ribbon operatorHopf algebraquantum doublepolyhedral maptopological invariance

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx)

Cites Work

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• Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View
• LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE
• Semisimple Cosemisimple Hopf Algebras
• Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras
• Hopf algebra gauge theory on a ribbon graph
• A hierarchy of topological tensor network states
• Quantum double aspects of surface code models

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