{"id":"https://openalex.org/W4394890300","doi":"https://doi.org/10.1038/s41534-024-00832-x","title":"Tight Lieb\u2013Robinson Bound for approximation ratio in quantum annealing","display_name":"Tight Lieb\u2013Robinson Bound for approximation ratio in quantum annealing","publication_year":2024,"publication_date":"2024-04-17","ids":{"openalex":"https://openalex.org/W4394890300","doi":"https://doi.org/10.1038/s41534-024-00832-x"},"language":"en","primary_location":{"id":"doi:10.1038/s41534-024-00832-x","doi":"https://doi.org/10.1038/s41534-024-00832-x","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41534-024-00832-x","pdf_url":"https://www.nature.com/articles/s41534-024-00832-x.pdf","source":{"id":"https://openalex.org/S2738600312","display_name":"npj Quantum Information","issn_l":"2056-6387","issn":["2056-6387"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-3","norway-1","oarl","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"npj Quantum Information","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.nature.com/articles/s41534-024-00832-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055887802","display_name":"Arthur Braida","orcid":"https://orcid.org/0000-0002-8396-2154","observed_orcids":["https://orcid.org/0000-0002-8396-2154"]},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]},{"id":"https://openalex.org/I4387153997","display_name":"Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans","ror":"https://ror.org/01nr3td38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210143826","https://openalex.org/I4387153997"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Arthur Braida","raw_affiliation_strings":["Eviden Quantum Lab, Les Clayes-sous-Bois, France","LIFO - Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","Eviden (95870 Bezons, FRANCE - France)","LIFO - Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans (B\u00e2timent IIIA, Rue L\u00e9onard de Vinci, B.P. 6759, F-45067 ORLEANS Cedex 2 - France)"],"raw_orcid":"https://orcid.org/0000-0002-8396-2154","affiliations":[{"raw_affiliation_string":"Eviden Quantum Lab, Les Clayes-sous-Bois, France","institution_ids":[]},{"raw_affiliation_string":"LIFO - Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","institution_ids":["https://openalex.org/I12449238","https://openalex.org/I4387153997"]},{"raw_affiliation_string":"Eviden (95870 Bezons, FRANCE - France)","institution_ids":[]},{"raw_affiliation_string":"LIFO - Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans (B\u00e2timent IIIA, Rue L\u00e9onard de Vinci, B.P. 6759, F-45067 ORLEANS Cedex 2 - France)","institution_ids":["https://openalex.org/I4387153997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082324311","display_name":"Simon Martiel","orcid":"https://orcid.org/0000-0001-5624-2955","observed_orcids":["https://orcid.org/0000-0001-5624-2955"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simon Martiel","raw_affiliation_strings":["Eviden Quantum Lab, Les Clayes-sous-Bois, France","Eviden (95870 Bezons, FRANCE - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eviden Quantum Lab, Les Clayes-sous-Bois, France","institution_ids":[]},{"raw_affiliation_string":"Eviden (95870 Bezons, FRANCE - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081733098","display_name":"Ioan Todinca","orcid":"https://orcid.org/0000-0002-3466-859X","observed_orcids":["https://orcid.org/0000-0002-3466-859X"]},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]},{"id":"https://openalex.org/I4387153997","display_name":"Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans","ror":"https://ror.org/01nr3td38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210143826","https://openalex.org/I4387153997"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ioan Todinca","raw_affiliation_strings":["LIFO - Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","LIFO - Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans (B\u00e2timent IIIA, Rue L\u00e9onard de Vinci, B.P. 6759, F-45067 ORLEANS Cedex 2 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIFO - Laboratoire d\u2019Informatique Fondamentale d\u2019Orl\u00e9ans, Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans, France","institution_ids":["https://openalex.org/I12449238","https://openalex.org/I4387153997"]},{"raw_affiliation_string":"LIFO - Laboratoire d'Informatique Fondamentale d'Orl\u00e9ans (B\u00e2timent IIIA, Rue L\u00e9onard de Vinci, B.P. 6759, F-45067 ORLEANS Cedex 2 - France)","institution_ids":["https://openalex.org/I4387153997"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055887802"],"corresponding_institution_ids":["https://openalex.org/I12449238","https://openalex.org/I4387153997"],"apc_list":{"value":4090,"currency":"USD","value_usd":4090},"apc_paid":{"value":4090,"currency":"USD","value_usd":4090},"fwci":0.8871,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73356201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"1","first_page":"40","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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":0.9994999766349792,"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/T11804","display_name":"Quantum many-body systems","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-annealing","display_name":"quantum annealing","score":0.9919999837875366},{"id":"https://openalex.org/keywords/lieb-robinson-bound","display_name":"Lieb-Robinson bound","score":0.972000002861023},{"id":"https://openalex.org/keywords/approximation-ratio","display_name":"approximation ratio","score":0.9350000023841858},{"id":"https://openalex.org/keywords/max-cut","display_name":"MaxCut","score":0.8700000047683716},{"id":"https://openalex.org/keywords/cubic-graphs","display_name":"cubic graphs","score":0.9800000190734863},{"id":"https://openalex.org/keywords/regular-graphs","display_name":"regular graphs","score":0.5910000205039978},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"combinatorial optimization","score":0.8859999775886536},{"id":"https://openalex.org/keywords/nisq-devices","display_name":"NISQ devices","score":0.6380000114440918}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7281849980354309},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.6977895498275757},{"id":"https://openalex.org/C90408235","wikidata":"https://www.wikidata.org/wiki/Q938141","display_name":"Quantum annealing","level":4,"score":0.6635003089904785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5804212689399719},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5349463224411011},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5267393589019775},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4722820222377777},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4687892198562622},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.4605914354324341},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.4517844617366791},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4159048795700073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35394859313964844},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3478710949420929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31642210483551025},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1038/s41534-024-00832-x","doi":"https://doi.org/10.1038/s41534-024-00832-x","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41534-024-00832-x","pdf_url":"https://www.nature.com/articles/s41534-024-00832-x.pdf","source":{"id":"https://openalex.org/S2738600312","display_name":"npj Quantum Information","issn_l":"2056-6387","issn":["2056-6387"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-3","norway-1","oarl","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"npj Quantum Information","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2311.12732","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.12732","pdf_url":"https://arxiv.org/pdf/2311.12732","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04573584v1","doi":null,"is_oa":false,"landing_page_url":"https://cnrs.hal.science/hal-04573584","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"npj Quantum Information, 2024, 10 (1), pp.40. &#x27E8;10.1038/s41534-024-00832-x&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:23aa27b369cf484f9c5889ca4dea9576","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/23aa27b369cf484f9c5889ca4dea9576","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,"listed_in":[],"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":"npj Quantum Information, Vol 10, Iss 1, Pp 1-9 (2024)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2311.12732","doi":"https://doi.org/10.48550/arxiv.2311.12732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2311.12732","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1038/s41534-024-00832-x","doi":"https://doi.org/10.1038/s41534-024-00832-x","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41534-024-00832-x","pdf_url":"https://www.nature.com/articles/s41534-024-00832-x.pdf","source":{"id":"https://openalex.org/S2738600312","display_name":"npj Quantum Information","issn_l":"2056-6387","issn":["2056-6387"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-3","norway-1","oarl","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"npj Quantum Information","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1190173965","display_name":null,"funder_award_id":"France2030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G1371337724","display_name":"Quantum algorithms for massive data","funder_award_id":"ANR-18-CE47-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2970831653","display_name":"Initiative Nationale Hybride HPC Quantique \u2013 R&D et Support des communaut\u00e9s","funder_award_id":"ANR-22-PNCQ-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394890300.pdf","grobid_xml":"https://content.openalex.org/works/W4394890300.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1965444148","https://openalex.org/W1977658351","https://openalex.org/W1983624953","https://openalex.org/W2001524816","https://openalex.org/W2011290825","https://openalex.org/W2159739530","https://openalex.org/W2564229214","https://openalex.org/W2783316621","https://openalex.org/W2967668138","https://openalex.org/W2979402214","https://openalex.org/W2980961571","https://openalex.org/W3201142762","https://openalex.org/W4200630323","https://openalex.org/W4294215080","https://openalex.org/W4376455908","https://openalex.org/W4385248382","https://openalex.org/W4386823127","https://openalex.org/W4387266082","https://openalex.org/W4391777520","https://openalex.org/W4392877631","https://openalex.org/W4411150899"],"related_works":["https://openalex.org/W4294215080","https://openalex.org/W3130836069","https://openalex.org/W3034708880","https://openalex.org/W4414747850","https://openalex.org/W4415408356","https://openalex.org/W7117664299","https://openalex.org/W4411150899","https://openalex.org/W3159685339","https://openalex.org/W4416735321","https://openalex.org/W4396944954"],"abstract_inverted_index":{"Abstract":[0],"Quantum":[1],"annealing":[2],"(QA)":[3],"holds":[4],"promise":[5],"for":[6,13,21,87],"optimization":[7,107],"problems":[8],"in":[9],"quantum":[10],"computing,":[11],"especially":[12],"combinatorial":[14],"optimization.":[15],"This":[16],"analog":[17],"framework":[18],"attracts":[19],"attention":[20,40],"its":[22],"potential":[23],"to":[24,41,49,95],"address":[25],"complex":[26],"problems.":[27],"Its":[28],"gate-based":[29],"homologous,":[30],"QAOA":[31],"with":[32,115],"proven":[33],"performance,":[34],"has":[35],"attracted":[36],"a":[37,68,74,83,105,112,116],"lot":[38],"of":[39,71,78],"the":[42,60,79,91],"NISQ":[43],"era.":[44],"Several":[45],"numerical":[46,93],"benchmarks":[47],"try":[48],"compare":[50],"these":[51],"two":[52],"metaheuristics,":[53],"however,":[54],"classical":[55],"computational":[56],"power":[57],"highly":[58],"limits":[59],"performance":[61],"insights.":[62],"In":[63],"this":[64],"work,":[65],"we":[66,109],"introduce":[67],"parametrized":[69],"version":[70],"QA":[72,97,114],"enabling":[73],"precise":[75],"1-local":[76,117,128],"analysis":[77,118],"algorithm.":[80],"We":[81],"develop":[82],"tight":[84],"Lieb\u2013Robinson":[85],"bound":[86],"regular":[88],"graphs,":[89],"achieving":[90],"best-known":[92],"value":[94],"analyze":[96],"locally.":[98],"Studying":[99],"MaxCut":[100],"over":[101,123],"cubic":[102],"graph":[103],"as":[104],"benchmark":[106],"problem,":[108],"show":[110],"that":[111],"linear-schedule":[113],"achieves":[119],"an":[120],"approximation":[121],"ratio":[122],"0.7020,":[124],"outperforming":[125],"any":[126],"known":[127],"algorithms.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2024-04-18T00:00:00"}
