LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE
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Publication:3011226
DOI10.1142/S0129055X1100431XzbMath1220.81165arXiv1012.3857MaRDI QIDQ3011226
Publication date: 28 June 2011
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3857
Quantum field theory on lattices (81T25) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (18)
Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction ⋮ Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems ⋮ The split and approximate split property in 2D systems: stability and absence of superselection sectors ⋮ A derivation of braided C*-tensor categories from gapped ground states satisfying the approximate Haag duality ⋮ Haag duality for Kitaev’s quantum double model for abelian groups ⋮ The complete set of infinite volume ground states for Kitaev's abelian quantum double models ⋮ An algebraic quantum field theoretic approach to toric code with gapped boundary ⋮ Dynamical Abelian anyons with bound states and scattering states ⋮ Type of local von Neumann algebras in abelian quantum double models ⋮ Classification of gapped ground state phases in quantum spin systems ⋮ Kosaki-Longo index and classification of charges in 2D quantum spin models ⋮ Haag duality and the distal split property for cones in the toric code ⋮ On the extension of stringlike localised sectors in 2+1 dimensions ⋮ On gapped phases with a continuous symmetry and boundary operators ⋮ Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View ⋮ On the stability of charges in infinite quantum spin systems ⋮ Homological codes and abelian anyons ⋮ Subfactors and quantum information theory
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