Anyons and matrix product operator algebras

DOI10.1016/j.aop.2017.01.004zbMath1367.81084arXiv1511.08090OpenAlexW3099576847WikidataQ62108930 ScholiaQ62108930MaRDI QIDQ2012470

Nick Bultinck, D. J. Williamson, Frank Verstraete, Jutho Haegeman, Michaël Mariën, M. Burak Şahinoğlu

Publication date: 1 August 2017

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

Full work available at URL: https://arxiv.org/abs/1511.08090

zbMATH Keywords

entanglementanyonsfusion categorytensor networkstopological ordermatrix product operators

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (18)

Topological aspects of the critical three-state Potts model ⋮ Excitations in strict 2-group higher gauge models of topological phases ⋮ Anyonic chains - \(\alpha\)-induction - CFT - defects - subfactors ⋮ Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models ⋮ A lattice model for condensation in Levin-Wen systems ⋮ Projector matrix product operators, anyons and higher relative commutants of subfactors ⋮ A remark on matrix product operator algebras, anyons and subfactors ⋮ Matrix product operator algebras. II: Phases of matter for 1D mixed states ⋮ Invertible bimodule categories and generalized Schur orthogonality ⋮ Irreducible forms of matrix product states: Theory and applications ⋮ Fermionic projected entangled-pair states and topological phases ⋮ A generalization of the injectivity condition for projected entangled pair states ⋮ Excitation basis for (3+1)d topological phases ⋮ Locality at the boundary implies gap in the bulk for 2D PEPS ⋮ Matrix product unitaries: structure, symmetries, and topological invariants ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ Fermion condensation and super pivotal categories ⋮ Quantum error-detection at low energies

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