{"id":"https://openalex.org/W247655530","doi":"https://doi.org/10.4086/toc.2005.v001a004","title":"","display_name":"","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W247655530","doi":"https://doi.org/10.4086/toc.2005.v001a004","mag":"247655530"},"language":"en","primary_location":{"id":"doi:10.4086/toc.2005.v001a004","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2005.v001a004","pdf_url":"https://theoryofcomputing.org/articles/v001a004/v001a004.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://theoryofcomputing.org/articles/v001a004/v001a004.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020769134","display_name":"Scott Aaronson","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Scott Aaronson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045669197","display_name":"Andris Ambainis","orcid":"https://orcid.org/0000-0002-8716-001X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andris Ambainis","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020769134"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":17.3544,"has_fulltext":true,"cited_by_count":155,"citation_normalized_percentile":{"value":0.99162939,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"1","issue":"1","first_page":"47","last_page":"79"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9932000041007996,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.984000027179718,"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/hypercube","display_name":"Hypercube","score":0.8314975500106812},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6736562252044678},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6656616926193237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6035953164100647},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5147721767425537},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.4627288579940796},{"id":"https://openalex.org/keywords/holographic-principle","display_name":"Holographic principle","score":0.4244825839996338},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4184160828590393},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41674867272377014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16235694289207458},{"id":"https://openalex.org/keywords/holography","display_name":"Holography","score":0.13047507405281067},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11185497045516968}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8314975500106812},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6736562252044678},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6656616926193237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6035953164100647},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5147721767425537},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.4627288579940796},{"id":"https://openalex.org/C184497039","wikidata":"https://www.wikidata.org/wiki/Q911473","display_name":"Holographic principle","level":3,"score":0.4244825839996338},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4184160828590393},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41674867272377014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16235694289207458},{"id":"https://openalex.org/C187590223","wikidata":"https://www.wikidata.org/wiki/Q527628","display_name":"Holography","level":2,"score":0.13047507405281067},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11185497045516968},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4086/toc.2005.v001a004","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2005.v001a004","pdf_url":"https://theoryofcomputing.org/articles/v001a004/v001a004.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4086/toc.2005.v001a004","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2005.v001a004","pdf_url":"https://theoryofcomputing.org/articles/v001a004/v001a004.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320316838","display_name":"Kempe Foundation","ror":null},{"id":"https://openalex.org/F4320323297","display_name":"Latvijas Universitate","ror":"https://ror.org/05g3mes96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W247655530.pdf","grobid_xml":"https://content.openalex.org/works/W247655530.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1496574476","https://openalex.org/W1569763258","https://openalex.org/W1647930403","https://openalex.org/W1673685499","https://openalex.org/W1968991779","https://openalex.org/W1993466133","https://openalex.org/W2002372750","https://openalex.org/W2002564479","https://openalex.org/W2006290558","https://openalex.org/W2011757658","https://openalex.org/W2025956887","https://openalex.org/W2035476608","https://openalex.org/W2040927484","https://openalex.org/W2053590396","https://openalex.org/W2084652510","https://openalex.org/W2086290259","https://openalex.org/W2095618864","https://openalex.org/W2098579288","https://openalex.org/W2116006830","https://openalex.org/W2121981260","https://openalex.org/W2127608358","https://openalex.org/W2142902085","https://openalex.org/W2146537406","https://openalex.org/W2168676717","https://openalex.org/W2764347725","https://openalex.org/W2999981573","https://openalex.org/W3041308142","https://openalex.org/W3106143399","https://openalex.org/W4235225006","https://openalex.org/W4245982273"],"related_works":["https://openalex.org/W2123417578","https://openalex.org/W2122343781","https://openalex.org/W2963903795","https://openalex.org/W2008470896","https://openalex.org/W4377371889","https://openalex.org/W3119911731","https://openalex.org/W1673132890","https://openalex.org/W2952190127","https://openalex.org/W3109861677","https://openalex.org/W2113623403"],"abstract_inverted_index":{"Can":[0],"Grover's":[1],"algorithm":[2],"speed":[3],"up":[4],"search":[5],"of":[6,14],"a":[7,11],"physical":[8],"region-for":[9],"example":[10],"2-D":[12],"grid":[13],"size":[15]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":12}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}
