@InProceedings{golowich_et_al:LIPIcs.ITCS.2024.54, author = {Golowich, Louis and Kaufman, Tali}, title = {{NLTS Hamiltonians and Strongly-Explicit SoS Lower Bounds from Low-Rate Quantum LDPC Codes}}, booktitle = {15th Innovations in Theoretical Computer Science Conference (ITCS 2024)}, pages = {54:1--54:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-309-6}, ISSN = {1868-8969}, year = {2024}, volume = {287}, editor = {Guruswami, Venkatesan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.54}, URN = {urn:nbn:de:0030-drops-195829}, doi = {10.4230/LIPIcs.ITCS.2024.54}, annote = {Keywords: NLTS Hamiltonian, Quantum PCP, Sum-of-squares lower bound, Quantum LDPC code} }