A hierarchy of topological tensor network states

DOI10.1063/1.4773316zbMath1305.81125arXiv1007.5283OpenAlexW2082902171MaRDI QIDQ5396231

Oliver Buerschaper, Juan Martín Mombelli, Matthias Christandl, Miguel Aguado

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1007.5283

zbMATH Keywords

topological field theoriestensor network statestopological entanglement entropySpin modelsfinite-dimensional Kac algebrasquantum field theory on latticescondensation of topological chargesentanglement renormalization flowHopf \(C^{\star}\)-algebrasnonchiral topological modelsnonchiral topological phases

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Applications of selfadjoint operator algebras to physics (46L60) Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Measures of information, entropy (94A17) Quantum coherence, entanglement, quantum correlations (81P40)

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