@InProceedings{weggemans_et_al:LIPIcs.TQC.2024.10, author = {Weggemans, Jordi and Folkertsma, Marten and Cade, Chris}, title = {{Guidable Local Hamiltonian Problems with Implications to Heuristic Ansatz State Preparation and the Quantum PCP Conjecture}}, booktitle = {19th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2024)}, pages = {10:1--10:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-328-7}, ISSN = {1868-8969}, year = {2024}, volume = {310}, editor = {Magniez, Fr\'{e}d\'{e}ric and Grilo, Alex Bredariol}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2024.10}, URN = {urn:nbn:de:0030-drops-206804}, doi = {10.4230/LIPIcs.TQC.2024.10}, annote = {Keywords: Quantum complexity theory, local Hamiltonian problem, quantum state ansatzes, QCMA, quantum PCP conjecture} }