Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View
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Publication:2799465
DOI10.1007/978-3-319-21353-8_9zbMath1334.81093arXiv1508.07170OpenAlexW1937339340MaRDI QIDQ2799465
Publication date: 11 April 2016
Published in: Advances in Algebraic Quantum Field Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07170
Applications of selfadjoint operator algebras to physics (46L60) Topological field theories in quantum mechanics (81T45) Operator algebra methods applied to problems in quantum theory (81R15)
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Cites Work
- A short proof of stability of topological order under local perturbations
- Haag duality and the distal split property for cones in the toric code
- Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
- Fusion rules and modular transformations in 2D conformal field theory
- Lieb-Robinson bounds and the exponential clustering theorem
- Measurement-only topological quantum computation via anyonic interferometry
- Locality and the structure of particle states
- Simple \(C^*\)-algebras generated by isometries
- Operator algebras and conformal field theory
- Quantum symmetry and braid group statistics in \(G\)-spin models
- Quantum chains of Hopf algebras with quantum double cosymmetry
- Module categories, weak Hopf algebras and modular invariants
- Superselection sectors with braid group statistics and exchange algebras
- Fault-tolerant quantum computation by anyons
- A remark on a theorem of B. Misra
- Tensor categories: A selective guided tour
- LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE
- BRAID STATISTICS IN LOCAL QUANTUM THEORY
- ENTANGLEMENT, HAAG-DUALITY AND TYPE PROPERTIES OF INFINITE QUANTUM SPIN CHAINS
- On thermalization in Kitaev's 2D model
- The Commutation Theorem for Tensor Products of von Neumann Algebras
- P/NP , and the quantum field computer
- On the Structure of Modular Categories
- Topological quantum order: Stability under local perturbations
- A statistical mechanics view on Kitaev's proposal for quantum memories
- Kosaki-Longo index and classification of charges in 2D quantum spin models
- The Intrinsic Parity of Elementary Particles
- Quantum invariants of knots and 3-manifolds
- 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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