{"id":"https://openalex.org/W1965586334","doi":"https://doi.org/10.1109/icnc.2010.5582913","title":"Convergence rate of quantum algorithm for multivariate approximation","display_name":"Convergence rate of quantum algorithm for multivariate approximation","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W1965586334","doi":"https://doi.org/10.1109/icnc.2010.5582913","mag":"1965586334"},"language":"en","primary_location":{"id":"doi:10.1109/icnc.2010.5582913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2010.5582913","pdf_url":null,"source":{"id":"https://openalex.org/S4363608012","display_name":"2010 Sixth International Conference on Natural Computation","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Sixth International Conference on Natural Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003009611","display_name":"Jingfan Long","orcid":null},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jingfan Long","raw_affiliation_strings":["Beijing Information Science and Technology University, Beijing, China","Beijing Information Science and Technology University, China"],"affiliations":[{"raw_affiliation_string":"Beijing Information Science and Technology University, Beijing, China","institution_ids":["https://openalex.org/I78675632"]},{"raw_affiliation_string":"Beijing Information Science and Technology University, China","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100394017","display_name":"Sheng Zhang","orcid":"https://orcid.org/0000-0002-4631-7033"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng Zhang","raw_affiliation_strings":["School of Mathematical Science and LPMC, Nankai University, China","School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science and LPMC, Nankai University, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010523186","display_name":"Peixin Ye","orcid":"https://orcid.org/0000-0002-4706-3223"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peixin Ye","raw_affiliation_strings":["School of Mathematical Science and LPMC, Nankai University, China","School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science and LPMC, Nankai University, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003009611"],"corresponding_institution_ids":["https://openalex.org/I78675632"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.170724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"210","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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":0.9997000098228455,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9902999997138977,"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/algorithm","display_name":"Algorithm","score":0.5870729684829712},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5448522567749023},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.415057897567749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36063241958618164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3274853527545929}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5870729684829712},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5448522567749023},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.415057897567749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36063241958618164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3274853527545929},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icnc.2010.5582913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2010.5582913","pdf_url":null,"source":{"id":"https://openalex.org/S4363608012","display_name":"2010 Sixth International Conference on Natural Computation","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Sixth International Conference on Natural Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1545025828","https://openalex.org/W1554388601","https://openalex.org/W1963539121","https://openalex.org/W1990788918","https://openalex.org/W2013607606","https://openalex.org/W2018527921","https://openalex.org/W2018655598","https://openalex.org/W2023347923","https://openalex.org/W2094578890","https://openalex.org/W2146537406","https://openalex.org/W2210428752","https://openalex.org/W2496425987","https://openalex.org/W2798679239","https://openalex.org/W4206688793"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0],"estimate":[1],"the":[2,15,38,65],"convergence":[3],"rate":[4],"of":[5],"quantum":[6,66],"algorithm":[7],"for":[8,27,37],"approximation":[9],"from":[10],"some":[11],"smooth":[12],"functions":[13],"in":[14],"L":[16],"<sub":[17,42],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,23,43,46,51,58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[19],"([0,":[20,48],"1]":[21,49],"<sup":[22,45,50,57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</sup>":[24,52,59],")":[25],"norm":[26],"1":[28],"\u2264":[29,31],"q":[30],"\u221e.":[32],"It":[33],"turns":[34],"out":[35],"that":[36],"Sobolev":[39],"class":[40],"B(W":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[44],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</sup>":[47],"))":[53],"(r":[54],"\u2208":[55],"\u2115":[56],"),":[60],"when":[61],"p":[62],"<;":[63],"q,":[64],"algorithms":[67],"can":[68],"bring":[69],"speedup":[70],"over":[71],"classical":[72],"deterministic":[73],"and":[74],"randomized":[75],"algorithms.":[76]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
