Characterizing topological order with matrix product operators

DOI10.1007/s00023-020-00992-4zbMath1456.82320arXiv1409.2150OpenAlexW3121080191MaRDI QIDQ2223560

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

Publication date: 29 January 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2150

zbMATH Keywords

long-range entanglementprojected entangled-pair statesphases of matter

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (7)

Topological aspects of the critical three-state Potts model ⋮ Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models ⋮ Matrix product operator algebras. II: Phases of matter for 1D mixed states ⋮ Invertible bimodule categories and generalized Schur orthogonality ⋮ Fermionic projected entangled-pair states and topological phases ⋮ Locality at the boundary implies gap in the bulk for 2D PEPS ⋮ Quantum error-detection at low energies

Cites Work

• Unnamed Item
• An invariant of topologically ordered states under local unitary transformations
• Twisted injectivity in projected entangled pair states and the classification of quantum phases
• PEPS as ground states: degeneracy and topology
• Anyons in an exactly solved model and beyond
• Finitely correlated states on quantum spin chains
• Fault-tolerant quantum computation by anyons
• PEPS as unique ground states of local Hamiltonians

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