An algebraic quantum field theoretic approach to toric code with gapped boundary

DOI10.1063/5.0149891arXiv2212.01952OpenAlexW4387409151MaRDI QIDQ6066089

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Publication date: 12 December 2023

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

Full work available at URL: https://arxiv.org/abs/2212.01952

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Topological field theories in quantum mechanics (81T45) Quantum algorithms and complexity in the theory of computing (68Q12)

Cites Work

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• Categorified trace for module tensor categories over braided tensor categories
• Models for gapped boundaries and domain walls
• Haag duality and the distal split property for cones in the toric code
• Anyons in an exactly solved model and beyond
• Index of subfactors and statistics of quantum fields. I
• Fault-tolerant quantum computation by anyons
• LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE
• Non-Abelian anyons and topological quantum computation
• ENTANGLEMENT, HAAG-DUALITY AND TYPE PROPERTIES OF INFINITE QUANTUM SPIN CHAINS
• Haag duality for Kitaev’s quantum double model for abelian groups
• The Commutation Theorem for Tensor Products of von Neumann Algebras
• A derivation of braided C*-tensor categories from gapped ground states satisfying the approximate Haag duality
• Tensor Categories
• A statistical mechanics view on Kitaev's proposal for quantum memories
• Kosaki-Longo index and classification of charges in 2D quantum spin models
• The split property and the symmetry breaking of the quantum spin chain.
• Multi-interval subfactors and modularity of representations in conformal field theory

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