{"id":"https://openalex.org/W3049592525","doi":"https://doi.org/10.1145/3406325.3451040","title":"k-forrelation optimally separates Quantum and classical query complexity","display_name":"k-forrelation optimally separates Quantum and classical query complexity","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3049592525","doi":"https://doi.org/10.1145/3406325.3451040","mag":"3049592525"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451040","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3406325.3451040","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451040","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451040","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008689083","display_name":"Nikhil Bansal","orcid":"https://orcid.org/0000-0002-6290-0894"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Nikhil Bansal","raw_affiliation_strings":["CWI, Netherlands / Eindhoven University of Technology, Netherlands","[Centrum Wiskunde & Informatica]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CWI, Netherlands / Eindhoven University of Technology, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"[Centrum Wiskunde & Informatica]","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025592127","display_name":"Makrand Sinha","orcid":"https://orcid.org/0000-0001-5702-2049"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Makrand Sinha","raw_affiliation_strings":["CWI, Netherlands","[Centrum Wiskunde & Informatica]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CWI, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"[Centrum Wiskunde & Informatica]","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7342,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71130798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"27","issue":null,"first_page":"1303","last_page":"1316"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9991000294685364,"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/mathematics","display_name":"Mathematics","score":0.6730496287345886},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6435861587524414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.577422022819519},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5773934125900269},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5730952024459839},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5438419580459595},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5354613661766052},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5339685082435608},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46701034903526306},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4129381477832794},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1475670337677002},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1430419683456421},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11826252937316895}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6730496287345886},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6435861587524414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.577422022819519},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5773934125900269},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5730952024459839},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5438419580459595},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5354613661766052},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5339685082435608},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46701034903526306},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4129381477832794},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1475670337677002},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1430419683456421},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11826252937316895},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1145/3406325.3451040","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3406325.3451040","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451040","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2008.07003","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.07003","pdf_url":"https://arxiv.org/pdf/2008.07003","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,"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:cwi.nl:30432","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/30432","pdf_url":"https://ir.cwi.nl/pub/30432/30432.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/other"},{"id":"pmh:oai:cwi.nl:30886","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/30886","pdf_url":"https://ir.cwi.nl/pub/30886/30886.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:3049592525","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2008.07003.pdf","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,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2008.07003","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2008.07003","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,"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":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:3167321720","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc27.html#BansalS20","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electron. Colloquium Comput. Complex.","raw_type":null}],"best_oa_location":{"id":"doi:10.1145/3406325.3451040","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3406325.3451040","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451040","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7599999904632568}],"awards":[{"id":"https://openalex.org/G4405413375","display_name":"Continuous Methods in Discrete Optimization","funder_award_id":"639.023.812","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G8333547667","display_name":null,"funder_award_id":"VICI grant 639.023.812","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3049592525.pdf","grobid_xml":"https://content.openalex.org/works/W3049592525.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1891181203","https://openalex.org/W1968630765","https://openalex.org/W1982669303","https://openalex.org/W1995363082","https://openalex.org/W2000070319","https://openalex.org/W2009948449","https://openalex.org/W2012496360","https://openalex.org/W2033216491","https://openalex.org/W2050334794","https://openalex.org/W2084652510","https://openalex.org/W2092871850","https://openalex.org/W2108852611","https://openalex.org/W2112501493","https://openalex.org/W2117584890","https://openalex.org/W2139322641","https://openalex.org/W2274974221","https://openalex.org/W2752597570","https://openalex.org/W2811282363","https://openalex.org/W2952315951","https://openalex.org/W2955333561","https://openalex.org/W2966301123","https://openalex.org/W2998072308","https://openalex.org/W3003311442","https://openalex.org/W3007902207","https://openalex.org/W3023478445","https://openalex.org/W3035097110","https://openalex.org/W3039595596","https://openalex.org/W3046277857","https://openalex.org/W3049592525","https://openalex.org/W3089688728","https://openalex.org/W3094151347","https://openalex.org/W3102754027","https://openalex.org/W3104067947","https://openalex.org/W3111297213","https://openalex.org/W4300570305"],"related_works":["https://openalex.org/W3167321720","https://openalex.org/W3127370627","https://openalex.org/W3042104663","https://openalex.org/W2984858782","https://openalex.org/W3099921078","https://openalex.org/W2952649613","https://openalex.org/W3013553164","https://openalex.org/W2893430233","https://openalex.org/W2950378059","https://openalex.org/W2009155360","https://openalex.org/W2884970704","https://openalex.org/W2951874253","https://openalex.org/W2950946819","https://openalex.org/W2785084575","https://openalex.org/W2950008794","https://openalex.org/W2918185090","https://openalex.org/W2114187680","https://openalex.org/W1531411745","https://openalex.org/W2982567736","https://openalex.org/W2144385516"],"abstract_inverted_index":{"Aaronson":[0],"and":[1],"Ambainis":[2],"(SICOMP":[3],"\u201818)":[4],"showed":[5],"that":[6,13,57],"any":[7],"partial":[8,55],"function":[9,56],"on":[10],"N":[11],"bits":[12],"can":[14,30,58],"be":[15,32,59,71],"computed":[16,33,60],"with":[17,35,61],"an":[18,36,78],"advantage":[19,37],"\u03b4":[20],"over":[21],"a":[22,40,54,72],"random":[23],"guess":[24],"by":[25,39],"making":[26,44],"q":[27,62],"quantum":[28,67],"queries,":[29],"also":[31],"classically":[34],"\u03b4/2":[38],"randomized":[41],"decision":[42],"tree":[43],"Oq(N1\u22121/2q\u03b4\u22122)":[45],"queries.":[46],"Moreover,":[47],"they":[48],"conjectured":[49],"the":[50],"k-Forrelation":[51],"problem":[52],"\u2014":[53,69],"=":[63],"\u2308":[64],"k/2":[65],"\u2309":[66],"queries":[68],"to":[70],"suitable":[73],"candidate":[74],"for":[75],"exhibiting":[76],"such":[77],"extremal":[79],"separation.":[80]},"counts_by_year":[{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}