{"id":"https://openalex.org/W2893430233","doi":"https://doi.org/10.22331/q-2021-11-24-587","title":"Two new results about quantum exact learning","display_name":"Two new results about quantum exact learning","publication_year":2021,"publication_date":"2021-11-24","ids":{"openalex":"https://openalex.org/W2893430233","doi":"https://doi.org/10.22331/q-2021-11-24-587","mag":"2893430233"},"language":"lv","primary_location":{"id":"doi:10.22331/q-2021-11-24-587","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-11-24-587","pdf_url":"https://quantum-journal.org/papers/q-2021-11-24-587/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","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2021-11-24-587/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106746003","display_name":"Srinivasan Arunachalam","orcid":"https://orcid.org/0000-0001-6014-6624"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Srinivasan Arunachalam","raw_affiliation_strings":["IBM T. J. Watson Research Center"],"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101626747","display_name":"Sourav Chakraborty","orcid":"https://orcid.org/0000-0001-9518-6204"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sourav Chakraborty","raw_affiliation_strings":["Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083542323","display_name":"Troy Lee","orcid":"https://orcid.org/0000-0001-6912-2338"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I4210096034","display_name":"Centre for Quantum Computation and Communication Technology","ror":"https://ror.org/00rnbty21","country_code":"AU","type":"facility","lineage":["https://openalex.org/I1337719021","https://openalex.org/I165143802","https://openalex.org/I2801453606","https://openalex.org/I4210096034","https://openalex.org/I4210132349"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Troy Lee","raw_affiliation_strings":["Centre for Quantum Software and Information, University of Technology Sydney, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Quantum Software and Information, University of Technology Sydney, Australia","institution_ids":["https://openalex.org/I4210096034","https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051373260","display_name":"Manaswi Paraashar","orcid":"https://orcid.org/0009-0005-3805-5095"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manaswi Paraashar","raw_affiliation_strings":["Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066563480","display_name":"Ronald de Wolf","orcid":"https://orcid.org/0000-0001-5147-6090"},"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"]},{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ronald de Wolf","raw_affiliation_strings":["QuSoft, CWI and University of Amsterdam, the Netherlands"],"affiliations":[{"raw_affiliation_string":"QuSoft, CWI and University of Amsterdam, the Netherlands","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I4210099082","https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5106746003"],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.8397,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77552262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"5","issue":null,"first_page":"587","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9995999932289124,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9930999875068665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.7452245354652405},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6670976877212524},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5874645113945007},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5729677677154541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5611584186553955},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.548976719379425},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5037025809288025},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48477834463119507},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.47065937519073486},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45443907380104065},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.41700831055641174},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23218399286270142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22148898243904114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17532852292060852},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1266835331916809}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.7452245354652405},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6670976877212524},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5874645113945007},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5729677677154541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5611584186553955},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.548976719379425},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5037025809288025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48477834463119507},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.47065937519073486},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45443907380104065},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.41700831055641174},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23218399286270142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22148898243904114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17532852292060852},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1266835331916809},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":12,"locations":[{"id":"doi:10.22331/q-2021-11-24-587","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-11-24-587","pdf_url":"https://quantum-journal.org/papers/q-2021-11-24-587/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:dare.uva.nl:openaire_cris_publications/bd1e5dc1-19a5-4901-b69b-731d3ee22650","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/two-new-results-about-quantum-exact-learning(bd1e5dc1-19a5-4901-b69b-731d3ee22650).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arunachalam, S, Chakraborty, S, Lee, T, Paraashar, M & de Wolf, R 2021, 'Two new results about quantum exact learning', Quantum, vol. 5, 587. https://doi.org/10.22331/Q-2021-11-24-587, https://doi.org/10.48550/arXiv.1810.00481","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1810.00481","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.00481","pdf_url":"https://arxiv.org/pdf/1810.00481","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:cwi.nl:28391","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/28391","pdf_url":"https://ir.cwi.nl/pub/28391","source":{"id":"https://openalex.org/S4306400859","display_name":"CWI's Institutional Repository (Centrum Wiskunde & Informatica)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1341640284","host_organization_name":"Centrum Wiskunde & Informatica","host_organization_lineage":["https://openalex.org/I1341640284"],"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":"","raw_type":"info:eu-repo/semantics/other"},{"id":"pmh:oai:cwi.nl:29268","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/29268","pdf_url":"https://ir.cwi.nl/pub/29268","source":{"id":"https://openalex.org/S4306400859","display_name":"CWI's Institutional Repository (Centrum Wiskunde & Informatica)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1341640284","host_organization_name":"Centrum Wiskunde & Informatica","host_organization_lineage":["https://openalex.org/I1341640284"],"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":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:cwi:oai:cwi.nl:31304","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/31304","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Quantum, 5","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:cwi:oai:cwi.nl:31332","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/31332","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"","raw_type":"info:eu-repo/semantics/other"},{"id":"pmh:oai:dare.uva.nl:openaire/bd1e5dc1-19a5-4901-b69b-731d3ee22650","is_oa":true,"landing_page_url":"https://hdl.handle.net/11245.1/bd1e5dc1-19a5-4901-b69b-731d3ee22650","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"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":"Arunachalam, S, Chakraborty, S, Lee, T, Paraashar, M & de Wolf, R 2021, 'Two new results about quantum exact learning', Quantum, vol. 5, 587. https://doi.org/10.22331/Q-2021-11-24-587, https://doi.org/10.48550/arXiv.1810.00481","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/bd1e5dc1-19a5-4901-b69b-731d3ee22650","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85121311302&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:doaj.org/article:8200064c8301448c9fed6779fd3e55be","is_oa":true,"landing_page_url":"https://doaj.org/article/8200064c8301448c9fed6779fd3e55be","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 5, p 587 (2021)","raw_type":"article"},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/bd1e5dc1-19a5-4901-b69b-731d3ee22650","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/two-new-results-about-quantum-exact-learning(bd1e5dc1-19a5-4901-b69b-731d3ee22650).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Quantum, 5:587. Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.4230/lipics.icalp.2019.16","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.icalp.2019.16","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"doi:10.22331/q-2021-11-24-587","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-11-24-587","pdf_url":"https://quantum-journal.org/papers/q-2021-11-24-587/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/G1211560647","display_name":null,"funder_award_id":"24.003.037","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G1381843815","display_name":null,"funder_award_id":"QuantAlgo 680-91-034","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G249262831","display_name":null,"funder_award_id":"024.003.037","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3034753964","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G420050720","display_name":null,"funder_award_id":"024.003","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G4418824033","display_name":null,"funder_award_id":"024.003.03","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5116650331","display_name":null,"funder_award_id":"NRF RF Award No. NRF-NRFF2013-13","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G5184048191","display_name":"Quantum algorithms and applications (QuantAlgo)","funder_award_id":"680-91-034","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5365867299","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G6009445997","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G611870384","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G6802314197","display_name":null,"funder_award_id":"DP200100950","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G7726978313","display_name":null,"funder_award_id":"NRF-NRFF2013-13","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G870216602","display_name":null,"funder_award_id":"NRF-NRFF2013-13","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320320766","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320324089","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49"},{"id":"https://openalex.org/F4320330828","display_name":"QuantERA","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2893430233.pdf","grobid_xml":"https://content.openalex.org/works/W2893430233.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W32507011","https://openalex.org/W118877790","https://openalex.org/W641843003","https://openalex.org/W1492999010","https://openalex.org/W1631356911","https://openalex.org/W1836151211","https://openalex.org/W1891181203","https://openalex.org/W1970755478","https://openalex.org/W1987383833","https://openalex.org/W1987965590","https://openalex.org/W1991135809","https://openalex.org/W1993688167","https://openalex.org/W2015811642","https://openalex.org/W2019363670","https://openalex.org/W2021732294","https://openalex.org/W2023146810","https://openalex.org/W2033216491","https://openalex.org/W2047430378","https://openalex.org/W2055064119","https://openalex.org/W2063003848","https://openalex.org/W2082051116","https://openalex.org/W2084369441","https://openalex.org/W2084652510","https://openalex.org/W2099111195","https://openalex.org/W2107625832","https://openalex.org/W2121965357","https://openalex.org/W2129638195","https://openalex.org/W2137370200","https://openalex.org/W2162702697","https://openalex.org/W2195198640","https://openalex.org/W2395817454","https://openalex.org/W2461851784","https://openalex.org/W2478708596","https://openalex.org/W2559394418","https://openalex.org/W2569444610","https://openalex.org/W2580838454","https://openalex.org/W2751270719","https://openalex.org/W2792315573","https://openalex.org/W2885803187","https://openalex.org/W2887468738","https://openalex.org/W2952050628","https://openalex.org/W2964328760","https://openalex.org/W2982693763","https://openalex.org/W2990961515","https://openalex.org/W3041308142","https://openalex.org/W3099022082","https://openalex.org/W3102754027","https://openalex.org/W3104599990","https://openalex.org/W3111905764","https://openalex.org/W4213153631","https://openalex.org/W4233039852","https://openalex.org/W4238893454","https://openalex.org/W4297801632","https://openalex.org/W6687462962"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4285390085","https://openalex.org/W1983915440","https://openalex.org/W1523834128","https://openalex.org/W3212703233","https://openalex.org/W3095925971","https://openalex.org/W2005304136","https://openalex.org/W2144579822"],"abstract_inverted_index":{"We":[0],"present":[1],"two":[2],"new":[3],"results":[4],"about":[5],"exact":[6],"learning":[7],"by":[8,77,141],"quantum":[9,34,109],"computers.":[10],"First,":[11],"we":[12,61,90],"show":[13,91],"how":[14],"to":[15,66],"exactly":[16,104],"learn":[17],"a":[18,63,94,142],"<mml:math":[19,21,26,45,53,69,85,97,107,119,143],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>k</mml:mi></mml:math>-Fourier-sparse":[20,86],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi></mml:math>-bit":[22],"Boolean":[23,87],"function":[24],"from":[25],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>O</mml:mi><mml:mo":[27],"stretchy=\"false\">(</mml:mo><mml:msup><mml:mi>k</mml:mi><mml:mrow":[28,72],"class=\"MJX-TeXAtom-ORD\"><mml:mn>1.5</mml:mn></mml:mrow></mml:msup><mml:mo":[29,73],"stretchy=\"false\">(</mml:mo><mml:mi>log</mml:mi><mml:mo>\u2061</mml:mo><mml:mi>k</mml:mi><mml:msup><mml:mo":[30],"stretchy=\"false\">)</mml:mo><mml:mn>2</mml:mn></mml:msup><mml:mo":[31],"stretchy=\"false\">)</mml:mo></mml:math>":[32,50,74],"uniform":[33],"examples":[35,55],"for":[36,84],"that":[37,92],"function.":[38],"This":[39,131],"improves":[40,132],"over":[41],"the":[42,133],"bound":[43,76],"of":[44,81],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[46,70,98],"class=\"MJX-TeXAtom-ORD\"><mml:mover><mml:mi":[47],"mathvariant=\"normal\">\u0398</mml:mi><mml:mo>~</mml:mo></mml:mover></mml:mrow><mml:mo":[48],"stretchy=\"false\">(</mml:mo><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mo":[49],"uniformly":[51],"random":[52],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>c</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:math>":[54,128],"(Haviv":[56],"and":[57,138],"Regev,":[58],"CCC'15).":[59],"Additionally,":[60],"provide":[62],"possible":[64],"direction":[65],"improve":[67],"our":[68],"class=\"MJX-TeXAtom-ORD\"><mml:mover><mml:mi>O</mml:mi><mml:mo>~</mml:mo></mml:mover></mml:mrow><mml:mo":[71],"upper":[75],"proving":[78],"an":[79],"improvement":[80],"Chang's":[82],"lemma":[83],"functions.":[88],"Second,":[89],"if":[93],"concept":[95],"class":[96],"class=\"MJX-TeXAtom-ORD\"><mml:mi":[99,123],"class=\"MJX-tex-caligraphic\"":[100,124],"mathvariant=\"script\">C</mml:mi></mml:mrow></mml:math>":[101],"can":[102,114],"be":[103,116],"learned":[105,117],"using":[106,118],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Q</mml:mi></mml:math>":[108],"membership":[110,129],"queries,":[111],"then":[112],"it":[113],"also":[115],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mi>log</mml:mi><mml:mo>\u2061</mml:mo><mml:mi>Q</mml:mi></mml:mrow></mml:mfrac><mml:mi>log</mml:mi><mml:mo>\u2061</mml:mo><mml:mrow":[120],"class=\"MJX-TeXAtom-ORD\"><mml:mo":[121,126],"stretchy=\"false\">|</mml:mo></mml:mrow><mml:mrow":[122],"mathvariant=\"script\">C</mml:mi></mml:mrow><mml:mrow":[125],"stretchy=\"false\">|</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math><mml:math":[127],"queries.":[130],"previous-best":[134],"simulation":[135],"result":[136],"(Servedio":[137],"Gortler,":[139],"SICOMP'04)":[140],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>log</mml:mi><mml:mo>\u2061</mml:mo><mml:mi>Q</mml:mi></mml:math>-factor.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2021-12-06T00:00:00"}