{"id":"https://openalex.org/W4415502832","doi":"https://doi.org/10.1038/s43588-025-00873-y","title":"Quantum approximate multi-objective optimization","display_name":"Quantum approximate multi-objective optimization","publication_year":2025,"publication_date":"2025-10-24","ids":{"openalex":"https://openalex.org/W4415502832","doi":"https://doi.org/10.1038/s43588-025-00873-y","pmid":"https://pubmed.ncbi.nlm.nih.gov/41136743"},"language":"en","primary_location":{"id":"doi:10.1038/s43588-025-00873-y","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s43588-025-00873-y","pdf_url":"https://www.nature.com/articles/s43588-025-00873-y.pdf","source":{"id":"https://openalex.org/S4210228084","display_name":"Nature Computational Science","issn_l":"2662-8457","issn":["2662-8457"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Computational Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.nature.com/articles/s43588-025-00873-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036298510","display_name":"Ayse Kotil","orcid":"https://orcid.org/0009-0000-0857-5093"},"institutions":[{"id":"https://openalex.org/I195893171","display_name":"Zuse Institute Berlin","ror":"https://ror.org/02eva5865","country_code":"DE","type":"facility","lineage":["https://openalex.org/I195893171"]},{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH","DE"],"is_corresponding":false,"raw_author_name":"Ayse Kotil","raw_affiliation_strings":["IBM Quantum, IBM Research Europe-Zurich, Rueschlikon, Switzerland","Zuse Institute Berlin, Berlin, Germany","IBM Quantum, IBM Research Europe\u2014Zurich, Rueschlikon, Switzerland"],"raw_orcid":"https://orcid.org/0009-0000-0857-5093","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe-Zurich, Rueschlikon, Switzerland","institution_ids":["https://openalex.org/I4210126328"]},{"raw_affiliation_string":"Zuse Institute Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I195893171"]},{"raw_affiliation_string":"IBM Quantum, IBM Research Europe\u2014Zurich, Rueschlikon, Switzerland","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053453725","display_name":"Elijah Pelofske","orcid":"https://orcid.org/0000-0003-2673-796X"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elijah Pelofske","raw_affiliation_strings":["Los Alamos National Laboratory, Los Alamos, NM, USA"],"raw_orcid":"https://orcid.org/0000-0003-2673-796X","affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109819115","display_name":"Stephanie Riedm\u00fcller","orcid":null},"institutions":[{"id":"https://openalex.org/I195893171","display_name":"Zuse Institute Berlin","ror":"https://ror.org/02eva5865","country_code":"DE","type":"facility","lineage":["https://openalex.org/I195893171"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephanie Riedm\u00fcller","raw_affiliation_strings":["Zuse Institute Berlin, Berlin, Germany"],"raw_orcid":"https://orcid.org/0009-0006-4508-4262","affiliations":[{"raw_affiliation_string":"Zuse Institute Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I195893171"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027150880","display_name":"Daniel J. Egger","orcid":"https://orcid.org/0000-0002-5523-9807"},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Daniel J. Egger","raw_affiliation_strings":["IBM Quantum, IBM Research Europe-Zurich, Rueschlikon, Switzerland","IBM Quantum, IBM Research Europe\u2014Zurich, Rueschlikon, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-5523-9807","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe-Zurich, Rueschlikon, Switzerland","institution_ids":["https://openalex.org/I4210126328"]},{"raw_affiliation_string":"IBM Quantum, IBM Research Europe\u2014Zurich, Rueschlikon, Switzerland","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073911119","display_name":"Stephan Eidenbenz","orcid":"https://orcid.org/0000-0002-2628-1854"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephan Eidenbenz","raw_affiliation_strings":["Los Alamos National Laboratory, Los Alamos, NM, USA"],"raw_orcid":"https://orcid.org/0000-0002-2628-1854","affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066794150","display_name":"Thorsten Koch","orcid":"https://orcid.org/0000-0002-1967-0077"},"institutions":[{"id":"https://openalex.org/I195893171","display_name":"Zuse Institute Berlin","ror":"https://ror.org/02eva5865","country_code":"DE","type":"facility","lineage":["https://openalex.org/I195893171"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thorsten Koch","raw_affiliation_strings":["Technische Universit\u00e4t Berlin, Berlin, Germany","Zuse Institute Berlin, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1967-0077","affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Zuse Institute Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I195893171"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085105920","display_name":"Stefan Woerner","orcid":"https://orcid.org/0000-0002-5945-4707"},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Stefan Woerner","raw_affiliation_strings":["IBM Quantum, IBM Research Europe-Zurich, Rueschlikon, Switzerland. wor@zurich.ibm.com","IBM Quantum, IBM Research Europe\u2014Zurich, Rueschlikon, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-5945-4707","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe-Zurich, Rueschlikon, Switzerland. wor@zurich.ibm.com","institution_ids":["https://openalex.org/I4210126328"]},{"raw_affiliation_string":"IBM Quantum, IBM Research Europe\u2014Zurich, Rueschlikon, Switzerland","institution_ids":["https://openalex.org/I4210126328"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5085105920"],"corresponding_institution_ids":["https://openalex.org/I4210126328"],"apc_list":{"value":9750,"currency":"EUR","value_usd":11690},"apc_paid":{"value":9750,"currency":"EUR","value_usd":11690},"fwci":16.807,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.9899836,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"5","issue":"12","first_page":"1168","last_page":"1177"},"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":0.9961000084877014,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5932000279426575},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5827999711036682},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5708000063896179},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5527999997138977},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4763000011444092},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4205000102519989},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.40630000829696655},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.39469999074935913},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.37779998779296875}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5992000102996826},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5932000279426575},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5827999711036682},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5708000063896179},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5527999997138977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5113000273704529},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4763000011444092},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4205000102519989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4065999984741211},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.40630000829696655},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.39469999074935913},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.37779998779296875},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.3763999938964844},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.37290000915527344},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.35260000824928284},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3465999960899353},{"id":"https://openalex.org/C2778351468","wikidata":"https://www.wikidata.org/wiki/Q17149634","display_name":"Matrix product state","level":4,"score":0.32760000228881836},{"id":"https://openalex.org/C4935549","wikidata":"https://www.wikidata.org/wiki/Q6822261","display_name":"Meta-optimization","level":3,"score":0.31200000643730164},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.310699999332428},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.303600013256073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28529998660087585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2816999852657318},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C109578324","wikidata":"https://www.wikidata.org/wiki/Q3354463","display_name":"Random optimization","level":5,"score":0.2745000123977661},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.2734000086784363},{"id":"https://openalex.org/C29282572","wikidata":"https://www.wikidata.org/wiki/Q16977029","display_name":"Derivative-free optimization","level":4,"score":0.2705000042915344},{"id":"https://openalex.org/C150185637","wikidata":"https://www.wikidata.org/wiki/Q7705773","display_name":"Test functions for optimization","level":4,"score":0.2676999866962433},{"id":"https://openalex.org/C62114133","wikidata":"https://www.wikidata.org/wiki/Q5366944","display_name":"L-reduction","level":5,"score":0.26350000500679016},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.25369998812675476}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1038/s43588-025-00873-y","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s43588-025-00873-y","pdf_url":"https://www.nature.com/articles/s43588-025-00873-y.pdf","source":{"id":"https://openalex.org/S4210228084","display_name":"Nature Computational Science","issn_l":"2662-8457","issn":["2662-8457"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Computational Science","raw_type":"journal-article"},{"id":"pmid:41136743","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41136743","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature computational science","raw_type":null},{"id":"pmh:oai:arXiv.org:2503.22797","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.22797","pdf_url":"https://arxiv.org/pdf/2503.22797","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":null},{"id":"pmh:oai:pubmedcentral.nih.gov:12727516","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12727516/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nat Comput Sci","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1038/s43588-025-00873-y","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s43588-025-00873-y","pdf_url":"https://www.nature.com/articles/s43588-025-00873-y.pdf","source":{"id":"https://openalex.org/S4210228084","display_name":"Nature Computational Science","issn_l":"2662-8457","issn":["2662-8457"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nature Computational Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4192406653","display_name":null,"funder_award_id":"05M20ZBM","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G4477206595","display_name":"Dams and Dolphins: Linking cutting-edge science with endangered species conservation","funder_award_id":"897481","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6995210142","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G7301865372","display_name":null,"funder_award_id":"897481","funder_id":"https://openalex.org/F4320323031","funder_display_name":"\u00d6sterreichische Forschungsf\u00f6rderungsgesellschaft"},{"id":"https://openalex.org/G7500863821","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G7898950839","display_name":null,"funder_award_id":"05M2025","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G8659807574","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8921868790","display_name":null,"funder_award_id":"05M14ZAM","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320323031","display_name":"\u00d6sterreichische Forschungsf\u00f6rderungsgesellschaft","ror":"https://ror.org/028jc0449"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415502832.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W1985123706","https://openalex.org/W2039122980","https://openalex.org/W2045560222","https://openalex.org/W2059819407","https://openalex.org/W2084652510","https://openalex.org/W2100830227","https://openalex.org/W2120575449","https://openalex.org/W2126105956","https://openalex.org/W2154363242","https://openalex.org/W2207649084","https://openalex.org/W2291978598","https://openalex.org/W2525306583","https://openalex.org/W2963908124","https://openalex.org/W2980835754","https://openalex.org/W2980961571","https://openalex.org/W2990613907","https://openalex.org/W3004244202","https://openalex.org/W3017778677","https://openalex.org/W3021613070","https://openalex.org/W3036490817","https://openalex.org/W3088409280","https://openalex.org/W3097920226","https://openalex.org/W3127938248","https://openalex.org/W3139223064","https://openalex.org/W3213643642","https://openalex.org/W3215621431","https://openalex.org/W3216410175","https://openalex.org/W4220993233","https://openalex.org/W4280585670","https://openalex.org/W4321221899","https://openalex.org/W4376455908","https://openalex.org/W4380627387","https://openalex.org/W4384132074","https://openalex.org/W4388581207","https://openalex.org/W4390974795","https://openalex.org/W4392693586","https://openalex.org/W4393037560","https://openalex.org/W4394863015","https://openalex.org/W4400224448","https://openalex.org/W4402289204","https://openalex.org/W4403834027","https://openalex.org/W4403984119","https://openalex.org/W4404105454","https://openalex.org/W4404421150","https://openalex.org/W4404589944","https://openalex.org/W4407770702","https://openalex.org/W4410232493","https://openalex.org/W4410302091","https://openalex.org/W4412933107","https://openalex.org/W4413448855","https://openalex.org/W6968308773"],"related_works":[],"abstract_inverted_index":{"The":[0],"goal":[1],"of":[2,23,81,118,140],"multi-objective":[3,54,83,123,141],"optimization":[4,38,48,55,73,124,132],"is":[5],"to":[6,61,75,109,121,134],"understand":[7],"optimal":[8,78,137],"trade-offs":[9],"between":[10],"competing":[11],"objective":[12,29],"functions":[13],"by":[14],"finding":[15],"the":[16,21,45,77,116,136,145],"Pareto":[17,79,138],"front,":[18],"that":[19],"is,":[20],"set":[22],"all":[24],"Pareto-optimal":[25],"solutions,":[26],"where":[27],"no":[28],"can":[30,39],"be":[31,40],"improved":[32],"without":[33],"degrading":[34],"another":[35],"one.":[36],"Multi-objective":[37],"challenging":[41],"classically,":[42],"even":[43],"if":[44],"corresponding":[46],"single-objective":[47],"problems":[49],"are":[50],"efficiently":[51],"solvable.":[52],"Thus,":[53],"represents":[56],"a":[57,69,128],"compelling":[58],"problem":[59],"class":[60],"analyze":[62],"with":[63,99],"quantum":[64,71,119,130],"computers.":[65],"Here":[66],"we":[67],"use":[68,117],"low-depth":[70,129],"approximate":[72,76,131,135],"algorithm":[74,133],"front":[80,139],"certain":[82],"weighted":[84,142],"maximum-cut":[85],"problems.":[86],"We":[87],"demonstrate":[88,147],"its":[89,107],"performance":[90],"on":[91,153],"an":[92],"IBM":[93,154],"Quantum":[94,155],"computer,":[95],"as":[96,98],"well":[97],"matrix":[100],"product":[101],"state":[102],"numerical":[103],"simulation,":[104],"and":[105,152],"show":[106],"potential":[108],"outperform":[110],"classical":[111,157],"approaches.":[112,158],"This":[113],"study":[114],"explores":[115],"computing":[120],"address":[122],"challenges.":[125],"By":[126],"using":[127],"max-cut":[143],"problems,":[144],"authors":[146],"promising":[148],"results\u2014both":[149],"in":[150],"simulation":[151],"hardware\u2014surpassing":[156]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-24T00:00:00"}
