{"id":"https://openalex.org/W2972992123","doi":"https://doi.org/10.22331/q-2022-01-20-625","title":"Faster quantum and classical SDP approximations for quadratic binary optimization","display_name":"Faster quantum and classical SDP approximations for quadratic binary optimization","publication_year":2022,"publication_date":"2022-01-20","ids":{"openalex":"https://openalex.org/W2972992123","doi":"https://doi.org/10.22331/q-2022-01-20-625","mag":"2972992123"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-01-20-625","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-01-20-625","pdf_url":"https://quantum-journal.org/papers/q-2022-01-20-625/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-01-20-625/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030940558","display_name":"Fernando G. S. L. Brand\u00e3o","orcid":"https://orcid.org/0000-0003-3866-9378"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fernando G.S L. Brand\u00e3o","raw_affiliation_strings":["AWS Center for Quantum Computing, Pasadena, CA, USA","Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA, USA","Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AWS Center for Quantum Computing, Pasadena, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005621571","display_name":"Richard Kueng","orcid":"https://orcid.org/0000-0002-8291-648X"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]},{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["AT","US"],"is_corresponding":false,"raw_author_name":"Richard Kueng","raw_affiliation_strings":["Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA, USA","Institute for Integrated Circuits, Johannes Kepler University Linz, Austria","Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Institute for Integrated Circuits, Johannes Kepler University Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090586058","display_name":"Daniel Stilck Fran\u00e7a","orcid":"https://orcid.org/0000-0001-9699-5994"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE","DK"],"is_corresponding":false,"raw_author_name":"Daniel Stilck Fran\u00e7a","raw_affiliation_strings":["Department of Mathematics, Technische Universit\u00e4t M\u00fcnchen, Germany","QMATH, Department of Mathematical Sciences, University of Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"QMATH, Department of Mathematical Sciences, University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.9133,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.91785948,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"625","last_page":"625"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998000264167786,"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":0.9998000264167786,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9986000061035156,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/binary-number","display_name":"Binary number","score":0.6738911867141724},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6498180031776428},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6094462871551514},{"id":"https://openalex.org/keywords/quadratic-unconstrained-binary-optimization","display_name":"Quadratic unconstrained binary optimization","score":0.5874913334846497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4701426327228546},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45348072052001953},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3538774847984314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26662683486938477},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.26333606243133545},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.1836552619934082},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0897485613822937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06588366627693176}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6738911867141724},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6498180031776428},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6094462871551514},{"id":"https://openalex.org/C177179195","wikidata":"https://www.wikidata.org/wiki/Q7268372","display_name":"Quadratic unconstrained binary optimization","level":4,"score":0.5874913334846497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4701426327228546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45348072052001953},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3538774847984314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26662683486938477},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26333606243133545},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.1836552619934082},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0897485613822937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06588366627693176}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2022-01-20-625","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-01-20-625","pdf_url":"https://quantum-journal.org/papers/q-2022-01-20-625/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1909.04613","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.04613","pdf_url":"https://arxiv.org/pdf/1909.04613","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:authors.library.caltech.edu:98596","is_oa":true,"landing_page_url":null,"pdf_url":"https://authors.library.caltech.edu/98596/","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:0885bbd6bba9431e8193dc120f56244e","is_oa":true,"landing_page_url":"https://doaj.org/article/0885bbd6bba9431e8193dc120f56244e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 6, p 625 (2022)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/7ea4faa8-ce80-4a82-9a6f-82f8eee5b0d2","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/7ea4faa8-ce80-4a82-9a6f-82f8eee5b0d2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"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":"Brand\u00e3o , F G S L , Kueng , R & Fran\u00e7a , D S 2022 , ' Faster quantum and classical SDP approximations for quadratic binary optimization ' , Quantum , vol. 6 , 625 , pp. 1-42 . https://doi.org/10.22331/Q-2022-01-20-625","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-01-20-625","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-01-20-625","pdf_url":"https://quantum-journal.org/papers/q-2022-01-20-625/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1833366854","display_name":null,"funder_award_id":"291763","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2403330605","display_name":null,"funder_award_id":"PHY-1733907","funder_id":"https://openalex.org/F4320334224","funder_display_name":"Institute for Quantum Information and Matter, California Institute of Technology"},{"id":"https://openalex.org/G2958415499","display_name":null,"funder_award_id":"PHY-1733907","funder_id":"https://openalex.org/F4320309398","funder_display_name":"California Institute of Technology"},{"id":"https://openalex.org/G4148578218","display_name":null,"funder_award_id":"N00014-17-1-2146","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4504108201","display_name":null,"funder_award_id":"N00014-17-1","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4533172783","display_name":null,"funder_award_id":"PHY-1733907","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G507237395","display_name":null,"funder_award_id":"1733907","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5259259942","display_name":null,"funder_award_id":"W911NF121054","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7352392636","display_name":null,"funder_award_id":"10059","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G8345540293","display_name":null,"funder_award_id":"291763","funder_id":"https://openalex.org/F4320323383","funder_display_name":"Technische Universit\u00e4t M\u00fcnchen"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G961819192","display_name":null,"funder_award_id":"1733907","funder_id":"https://openalex.org/F4320309398","funder_display_name":"California Institute of Technology"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"},{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320323383","display_name":"Technische Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/02kkvpp62"},{"id":"https://openalex.org/F4320332195","display_name":"Samsung","ror":"https://ror.org/04w3jy968"},{"id":"https://openalex.org/F4320334224","display_name":"Institute for Quantum Information and Matter, California Institute of Technology","ror":null},{"id":"https://openalex.org/F4320335337","display_name":"Elitenetzwerk Bayern","ror":null},{"id":"https://openalex.org/F4320335380","display_name":"Graduate School, Technische Universit\u00e4t M\u00fcnchen","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2972992123.pdf","grobid_xml":"https://content.openalex.org/works/W2972992123.grobid-xml"},"referenced_works_count":87,"referenced_works":["https://openalex.org/W22923443","https://openalex.org/W132471885","https://openalex.org/W1481121724","https://openalex.org/W1527730705","https://openalex.org/W1529624360","https://openalex.org/W1537145174","https://openalex.org/W1551092272","https://openalex.org/W1568756917","https://openalex.org/W1631356911","https://openalex.org/W1654879277","https://openalex.org/W1739872454","https://openalex.org/W1944079109","https://openalex.org/W1973652906","https://openalex.org/W1985077192","https://openalex.org/W1985123706","https://openalex.org/W1997391728","https://openalex.org/W2031213242","https://openalex.org/W2031923588","https://openalex.org/W2045548963","https://openalex.org/W2046481556","https://openalex.org/W2051446825","https://openalex.org/W2063059850","https://openalex.org/W2064906820","https://openalex.org/W2072858942","https://openalex.org/W2081331317","https://openalex.org/W2106090814","https://openalex.org/W2126746199","https://openalex.org/W2129575457","https://openalex.org/W2138505091","https://openalex.org/W2140336578","https://openalex.org/W2149903352","https://openalex.org/W2157681142","https://openalex.org/W2167681887","https://openalex.org/W2174754147","https://openalex.org/W2204682854","https://openalex.org/W2216459995","https://openalex.org/W2219875881","https://openalex.org/W2295766446","https://openalex.org/W2296319761","https://openalex.org/W2341660973","https://openalex.org/W2346816364","https://openalex.org/W2397157153","https://openalex.org/W2426334170","https://openalex.org/W2513180554","https://openalex.org/W2597410408","https://openalex.org/W2598698509","https://openalex.org/W2649051464","https://openalex.org/W2763908250","https://openalex.org/W2768206303","https://openalex.org/W2772646190","https://openalex.org/W2788451989","https://openalex.org/W2797026379","https://openalex.org/W2851910911","https://openalex.org/W2889426449","https://openalex.org/W2962877742","https://openalex.org/W2963081812","https://openalex.org/W2963326510","https://openalex.org/W2963583445","https://openalex.org/W2963614945","https://openalex.org/W2963652075","https://openalex.org/W2963929357","https://openalex.org/W2963934098","https://openalex.org/W2964257079","https://openalex.org/W2964902409","https://openalex.org/W2965601995","https://openalex.org/W2965813887","https://openalex.org/W2971940014","https://openalex.org/W3011222909","https://openalex.org/W3011600946","https://openalex.org/W3023108254","https://openalex.org/W3084875062","https://openalex.org/W3091395274","https://openalex.org/W3095481223","https://openalex.org/W3098536263","https://openalex.org/W3098935501","https://openalex.org/W3100283647","https://openalex.org/W3101636216","https://openalex.org/W3103672205","https://openalex.org/W3104065018","https://openalex.org/W3127041097","https://openalex.org/W3157919831","https://openalex.org/W4206742934","https://openalex.org/W4210422269","https://openalex.org/W4243381896","https://openalex.org/W4250589301","https://openalex.org/W4255333822","https://openalex.org/W6958962613"],"related_works":["https://openalex.org/W4319653966","https://openalex.org/W4224943954","https://openalex.org/W4286530336","https://openalex.org/W4382407643","https://openalex.org/W3123380476","https://openalex.org/W4401855577","https://openalex.org/W1973286416","https://openalex.org/W1967929712","https://openalex.org/W2982794036","https://openalex.org/W4304092472"],"abstract_inverted_index":{"We":[0,82],"give":[1],"a":[2,49,60],"quantum":[3,27,34,57],"speedup":[4,63],"for":[5,12,20],"solving":[6],"the":[7,44,71,99],"canonical":[8],"semidefinite":[9],"programming":[10],"relaxation":[11],"binary":[13],"quadratic":[14,62,101],"optimization.":[15],"This":[16],"class":[17],"of":[18,43,74,98],"relaxations":[19],"combinatorial":[21],"optimization":[22,102],"has":[23],"so":[24],"far":[25],"eluded":[26],"speedups.":[28],"Our":[29],"methods":[30],"combine":[31],"ideas":[32],"from":[33],"Gibbs":[35],"sampling":[36],"and":[37,77],"matrix":[38],"exponent":[39],"updates.":[40],"A":[41],"de-quantization":[42],"algorithm":[45],"also":[46,83],"leads":[47],"to":[48],"faster":[50],"classical":[51],"solver.":[52],"For":[53],"generic":[54],"instances,":[55],"our":[56],"solver":[58],"gives":[59],"nearly":[61],"over":[64],"state-of-the-art":[65],"algorithms.":[66],"Such":[67],"instances":[68],"include":[69],"approximating":[70],"ground":[72],"state":[73],"spin":[75],"glasses":[76],"MaxCut":[78],"on":[79],"Erd\u00f6s-R\u00e9nyi":[80],"graphs.":[81],"provide":[84],"an":[85],"efficient":[86],"randomized":[87],"rounding":[88],"procedure":[89],"that":[90],"converts":[91],"approximately":[92],"optimal":[93],"SDP":[94],"solutions":[95],"into":[96],"approximations":[97],"original":[100],"problem.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2019-09-19T00:00:00"}