{"id":"https://openalex.org/W1548701279","doi":"https://doi.org/10.1007/978-3-540-30577-4_50","title":"Boolean Functions with a Low Polynomial Degree and Quantum Query Algorithms","display_name":"Boolean Functions with a Low Polynomial Degree and Quantum Query Algorithms","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1548701279","doi":"https://doi.org/10.1007/978-3-540-30577-4_50","mag":"1548701279"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30577-4_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30577-4_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5070589651","display_name":"Raitis Ozols","orcid":null},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":true,"raw_author_name":"Raitis Ozols","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017606989","display_name":"R\u016bsi\u0146\u0161 Freivalds","orcid":"https://orcid.org/0000-0001-6192-3843"},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"R\u016bsi\u0146\u0161 Freivalds","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003287891","display_name":"Jevge\u0146ijs Ivanovs","orcid":"https://orcid.org/0000-0002-3664-8365"},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"Jevge\u0146ijs Ivanovs","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034743524","display_name":"El\u012bna Kalni\u0146a","orcid":"https://orcid.org/0009-0004-2680-3220"},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"El\u012bna Kalni\u0146a","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064697845","display_name":"Lelde L\u0101ce","orcid":"https://orcid.org/0000-0001-7650-2355"},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"Lelde L\u0101ce","raw_affiliation_strings":["Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, University of Latvia, Raina bulv. 29, Riga, Latvia","institution_ids":["https://openalex.org/I91123046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063908266","display_name":"Masahiro Miyakawa","orcid":null},"institutions":[{"id":"https://openalex.org/I24254649","display_name":"Tsukuba University of Technology","ror":"https://ror.org/057bx9y85","country_code":"JP","type":"education","lineage":["https://openalex.org/I24254649"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahiro Miyakawa","raw_affiliation_strings":["Tsukuba College of Technology, 4-3-15 Amakubo, Tsukuba, Ibaraki, 305-0005, Japan"],"affiliations":[{"raw_affiliation_string":"Tsukuba College of Technology, 4-3-15 Amakubo, Tsukuba, Ibaraki, 305-0005, Japan","institution_ids":["https://openalex.org/I24254649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058235161","display_name":"Hisayuki Tatsumi","orcid":"https://orcid.org/0009-0001-4339-0868"},"institutions":[{"id":"https://openalex.org/I24254649","display_name":"Tsukuba University of Technology","ror":"https://ror.org/057bx9y85","country_code":"JP","type":"education","lineage":["https://openalex.org/I24254649"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hisayuki Tatsumi","raw_affiliation_strings":["Tsukuba College of Technology, 4-3-15 Amakubo, Tsukuba, Ibaraki, 305-0005, Japan"],"affiliations":[{"raw_affiliation_string":"Tsukuba College of Technology, 4-3-15 Amakubo, Tsukuba, Ibaraki, 305-0005, Japan","institution_ids":["https://openalex.org/I24254649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069590381","display_name":"Daina Taimi\u0146a","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daina Taimi\u0146a","raw_affiliation_strings":["Department of Mathematics, Cornell University, 511 Malott Hall, Ithaca, NY, 14853, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, 511 Malott Hall, Ithaca, NY, 14853, U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5070589651"],"corresponding_institution_ids":["https://openalex.org/I91123046"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2493,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52639809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"408","last_page":"412"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9944999814033508,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9886999726295471,"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":0.6981385350227356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5928657054901123},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.5902114510536194},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5023899078369141},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4731810390949249},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.47217291593551636},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.471368670463562},{"id":"https://openalex.org/keywords/boolean-conjunctive-query","display_name":"Boolean conjunctive query","score":0.4437600374221802},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.43882113695144653},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.43752729892730713},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.42717036604881287},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.4251178205013275},{"id":"https://openalex.org/keywords/quantum-complexity-theory","display_name":"Quantum complexity theory","score":0.4228418469429016},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.4215323030948639},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3872258961200714},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3728463649749756},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.3577272593975067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34705761075019836},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.18640366196632385},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.16379010677337646},{"id":"https://openalex.org/keywords/sargable","display_name":"Sargable","score":0.08762520551681519},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.07213562726974487},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.05710574984550476},{"id":"https://openalex.org/keywords/web-search-query","display_name":"Web search query","score":0.05487185716629028}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6981385350227356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5928657054901123},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.5902114510536194},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5023899078369141},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4731810390949249},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.47217291593551636},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.471368670463562},{"id":"https://openalex.org/C24755975","wikidata":"https://www.wikidata.org/wiki/Q4943354","display_name":"Boolean conjunctive query","level":5,"score":0.4437600374221802},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.43882113695144653},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.43752729892730713},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42717036604881287},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.4251178205013275},{"id":"https://openalex.org/C92043244","wikidata":"https://www.wikidata.org/wiki/Q7269023","display_name":"Quantum complexity theory","level":4,"score":0.4228418469429016},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.4215323030948639},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3872258961200714},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3728463649749756},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3577272593975067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34705761075019836},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.18640366196632385},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.16379010677337646},{"id":"https://openalex.org/C192939062","wikidata":"https://www.wikidata.org/wiki/Q104840822","display_name":"Sargable","level":4,"score":0.08762520551681519},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.07213562726974487},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.05710574984550476},{"id":"https://openalex.org/C164120249","wikidata":"https://www.wikidata.org/wiki/Q995982","display_name":"Web search query","level":3,"score":0.05487185716629028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97854310","wikidata":"https://www.wikidata.org/wiki/Q19541","display_name":"Search engine","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-30577-4_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30577-4_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1535778211","https://openalex.org/W1631356911","https://openalex.org/W2012496360","https://openalex.org/W2095618864","https://openalex.org/W2122780600","https://openalex.org/W2148132004","https://openalex.org/W2764347725","https://openalex.org/W2798486685"],"related_works":["https://openalex.org/W1534775143","https://openalex.org/W98542587","https://openalex.org/W2150272262","https://openalex.org/W2004145437","https://openalex.org/W2480828397","https://openalex.org/W2037737738","https://openalex.org/W2093024295","https://openalex.org/W2184010066","https://openalex.org/W2465207115","https://openalex.org/W159269753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}