{"id":"https://openalex.org/W2122271558","doi":"https://doi.org/10.4086/toc.2010.v006a001","title":"","display_name":"","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2122271558","doi":"https://doi.org/10.4086/toc.2010.v006a001","mag":"2122271558"},"language":"en","primary_location":{"id":"doi:10.4086/toc.2010.v006a001","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2010.v006a001","pdf_url":"https://theoryofcomputing.org/articles/v006a001/v006a001.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/v006a001/v006a001.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045669197","display_name":"Andris Ambainis","orcid":"https://orcid.org/0000-0002-8716-001X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andris Ambainis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5045669197"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2144,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.92443073,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":"1","first_page":"1","last_page":"25"},"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":0.9930999875068665,"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":0.9897000193595886,"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/extension","display_name":"Extension (predicate logic)","score":0.5221560001373291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5217569470405579},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5019404888153076},{"id":"https://openalex.org/keywords/adversary","display_name":"Adversary","score":0.45441824197769165},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41855859756469727},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.371832013130188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35169845819473267},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06715196371078491}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5221560001373291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5217569470405579},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5019404888153076},{"id":"https://openalex.org/C41065033","wikidata":"https://www.wikidata.org/wiki/Q2825412","display_name":"Adversary","level":2,"score":0.45441824197769165},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41855859756469727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.371832013130188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35169845819473267},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06715196371078491},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4086/toc.2010.v006a001","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2010.v006a001","pdf_url":"https://theoryofcomputing.org/articles/v006a001/v006a001.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.2010.v006a001","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2010.v006a001","pdf_url":"https://theoryofcomputing.org/articles/v006a001/v006a001.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/G6255624720","display_name":null,"funder_award_id":"1.1.1.2","funder_id":"https://openalex.org/F4320323297","funder_display_name":"Latvijas Universitate"}],"funders":[{"id":"https://openalex.org/F4320309949","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95"},{"id":"https://openalex.org/F4320322675","display_name":"Mitacs","ror":"https://ror.org/00cjrc276"},{"id":"https://openalex.org/F4320322676","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68"},{"id":"https://openalex.org/F4320323297","display_name":"Latvijas Universitate","ror":"https://ror.org/05g3mes96"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320335909","display_name":"State Education Development Agency Republic of Latvia","ror":"https://ror.org/055t1w920"},{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2122271558.pdf","grobid_xml":"https://content.openalex.org/works/W2122271558.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W67017478","https://openalex.org/W1839137787","https://openalex.org/W1905573593","https://openalex.org/W1993688167","https://openalex.org/W2001383654","https://openalex.org/W2012496360","https://openalex.org/W2033216491","https://openalex.org/W2034038586","https://openalex.org/W2035627701","https://openalex.org/W2051165831","https://openalex.org/W2058286540","https://openalex.org/W2068911609","https://openalex.org/W2078289947","https://openalex.org/W2084652510","https://openalex.org/W2095618864","https://openalex.org/W2102687371","https://openalex.org/W2104549991","https://openalex.org/W2109924867","https://openalex.org/W2122780600","https://openalex.org/W2126323053","https://openalex.org/W2137370200","https://openalex.org/W2144385516","https://openalex.org/W2146817307","https://openalex.org/W2148211896","https://openalex.org/W2149045885","https://openalex.org/W2162702697","https://openalex.org/W2796145042","https://openalex.org/W2887468738","https://openalex.org/W2913164239","https://openalex.org/W2950378059","https://openalex.org/W2950946819","https://openalex.org/W3037725046","https://openalex.org/W3041308142","https://openalex.org/W3101653183","https://openalex.org/W3103450999","https://openalex.org/W4238792286"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W4242235492","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W2367268135","https://openalex.org/W4237162029","https://openalex.org/W2385701518","https://openalex.org/W1568049691"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"new":[3,14],"method":[4,15],"for":[5],"proving":[6],"lower":[7],"bounds":[8],"on":[9],"quantum":[10],"query":[11],"algorithms.":[12],"The":[13],"is":[16],"an":[17],"extension":[18],"of":[19,28],"the":[20,25,29],"adversary":[21],"method,":[22],"by":[23],"analyzing":[24],"eigenspace":[26],"structure":[27],"problem.":[30]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-12-17T22:08:43.090829","created_date":"2016-06-24T00:00:00"}
