{"id":"https://openalex.org/W4376639605","doi":"https://doi.org/10.1145/3564246.3585114","title":"NLTS Hamiltonians from Good Quantum Codes","display_name":"NLTS Hamiltonians from Good Quantum Codes","publication_year":2023,"publication_date":"2023-05-16","ids":{"openalex":"https://openalex.org/W4376639605","doi":"https://doi.org/10.1145/3564246.3585114"},"language":"en","primary_location":{"id":"doi:10.1145/3564246.3585114","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3564246.3585114","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 55th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dash.harvard.edu/bitstreams/a70a5240-0b0d-4765-a83c-2f3f14847b59/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019412695","display_name":"Anurag Anshu","orcid":"https://orcid.org/0000-0002-3859-9309"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anurag Anshu","raw_affiliation_strings":["Harvard University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harvard University, USA","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019795211","display_name":"Nikolas P. Breuckmann","orcid":"https://orcid.org/0000-0002-7211-5515"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nikolas P. Breuckmann","raw_affiliation_strings":["University of Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081746541","display_name":"Chinmay Nirkhe","orcid":"https://orcid.org/0000-0002-5808-4994"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chinmay Nirkhe","raw_affiliation_strings":["MIT-IBM Watson AI Lab, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT-IBM Watson AI Lab, USA","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.6686,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.9796833,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1090","last_page":"1096"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7633333802223206},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5629960298538208},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4315170645713806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41244927048683167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40190693736076355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3732589781284332},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.29468828439712524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2632361650466919},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25011080503463745}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7633333802223206},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5629960298538208},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4315170645713806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41244927048683167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40190693736076355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3732589781284332},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29468828439712524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2632361650466919},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25011080503463745}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3564246.3585114","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3564246.3585114","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 55th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:dash.harvard.edu:1/37377983","is_oa":true,"landing_page_url":"https://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37377983","pdf_url":"https://dash.harvard.edu/bitstreams/a70a5240-0b0d-4765-a83c-2f3f14847b59/download","source":{"id":"https://openalex.org/S4306401540","display_name":"Digital Access to Scholarship at Harvard (DASH) (Harvard University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I136199984","host_organization_name":"Harvard University","host_organization_lineage":["https://openalex.org/I136199984"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference Paper"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/085af16e-79ce-4689-9d54-350a0ce77b4a","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/085af16e-79ce-4689-9d54-350a0ce77b4a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:dash.harvard.edu:1/37377983","is_oa":true,"landing_page_url":"https://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37377983","pdf_url":"https://dash.harvard.edu/bitstreams/a70a5240-0b0d-4765-a83c-2f3f14847b59/download","source":{"id":"https://openalex.org/S4306401540","display_name":"Digital Access to Scholarship at Harvard (DASH) (Harvard University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I136199984","host_organization_name":"Harvard University","host_organization_lineage":["https://openalex.org/I136199984"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference Paper"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1800734550","display_name":null,"funder_award_id":"NSF 2013303","funder_id":"https://openalex.org/F4320309622","funder_display_name":"Harvard University"},{"id":"https://openalex.org/G4606665988","display_name":null,"funder_award_id":"2013303","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5404777626","display_name":null,"funder_award_id":"EP/S005021/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6200699826","display_name":null,"funder_award_id":"2238836, 2013303, OMA2016245","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7000941455","display_name":null,"funder_award_id":"2238836","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8898188652","display_name":"Prosperity Partnership in Quantum Software for Modeling and Simulation","funder_award_id":"EP/S005021/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309622","display_name":"Harvard University","ror":"https://ror.org/03vek6s52"},{"id":"https://openalex.org/F4320320286","display_name":"University College London","ror":"https://ror.org/02jx3x895"},{"id":"https://openalex.org/F4320334164","display_name":"Simons Institute for the Theory of Computing, University of California Berkeley","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4376639605.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W36522890","https://openalex.org/W1964537764","https://openalex.org/W2007370826","https://openalex.org/W2012805418","https://openalex.org/W2039104910","https://openalex.org/W2084019889","https://openalex.org/W2114473497","https://openalex.org/W2127259150","https://openalex.org/W2133068391","https://openalex.org/W2137103613","https://openalex.org/W2146443256","https://openalex.org/W2293231900","https://openalex.org/W2554913830","https://openalex.org/W2788261893","https://openalex.org/W2952228226","https://openalex.org/W2987521093","https://openalex.org/W3099923448","https://openalex.org/W3104165767","https://openalex.org/W3105135121","https://openalex.org/W3112993639","https://openalex.org/W3134442668","https://openalex.org/W3190051394","https://openalex.org/W3202733572","https://openalex.org/W4224938462","https://openalex.org/W4235946010","https://openalex.org/W4283068501","https://openalex.org/W4285546039","https://openalex.org/W4296411928","https://openalex.org/W6891834710"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0],"NLTS":[1,55],"(No":[2],"Low-Energy":[3],"Trivial":[4],"State)":[5],"conjecture":[6,40],"of":[7,16,23,47,69],"Freedman":[8],"and":[9,49],"Hastings":[10],"posits":[11],"that":[12,43],"there":[13],"exist":[14],"families":[15],"Hamiltonians":[17],"with":[18],"all":[19,66],"low":[20],"energy":[21],"states":[22],"non-trivial":[24],"complexity":[25,27],"(with":[26],"measured":[28],"by":[29,41],"the":[30,35],"quantum":[31],"circuit":[32],"depth":[33],"preparing":[34],"state).":[36],"We":[37],"prove":[38],"this":[39,61],"showing":[42],"a":[44],"particular":[45],"family":[46],"constant-rate":[48],"linear-distance":[50],"qLDPC":[51,71],"codes":[52],"correspond":[53],"to":[54,62],"local":[56],"Hamiltonians,":[57],"although":[58],"we":[59],"believe":[60],"be":[63],"true":[64],"for":[65],"current":[67],"constructions":[68],"good":[70],"codes.":[72]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}