@InProceedings{aharonov_et_al:LIPIcs.TQC.2018.2, author = {Aharonov, Dorit and Kenneth, Oded and Vigdorovich, Itamar}, title = {{On the Complexity of Two Dimensional Commuting Local Hamiltonians}}, booktitle = {13th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2018)}, pages = {2:1--2:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-080-4}, ISSN = {1868-8969}, year = {2018}, volume = {111}, editor = {Jeffery, Stacey}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2018.2}, URN = {urn:nbn:de:0030-drops-92498}, doi = {10.4230/LIPIcs.TQC.2018.2}, annote = {Keywords: local Hamiltonian complexity, commuting Hamiltonians, local Hamiltonian problem, trivial states, toric code, ground states, quantum NP, QMA, topological order, multiparticle entanglement, logical operators, ribbon} }