{"id":"https://openalex.org/W2111993808","doi":"https://doi.org/10.1109/itw.2011.6089429","title":"Quantum search algorithms on hierarchical networks","display_name":"Quantum search algorithms on hierarchical networks","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2111993808","doi":"https://doi.org/10.1109/itw.2011.6089429","mag":"2111993808"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2011.6089429","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089429","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1205.0529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Franklin de Lima Marquezino","orcid":null},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Franklin de Lima Marquezino","raw_affiliation_strings":["Universidade Federal do Rio de Janeiro, Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Federal do Rio de Janeiro, Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Renato Portugal","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Renato Portugal","raw_affiliation_strings":["Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica, Petropolis, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica, Petropolis, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"last","author":{"id":null,"display_name":"Stefan Boettcher","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stefan Boettcher","raw_affiliation_strings":["Emory University, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, GA, USA","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.12681238,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"79","issue":null,"first_page":"247","last_page":"251"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9950000047683716,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9901000261306763,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.6057999730110168},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.49799999594688416},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.49720001220703125},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4528999924659729},{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.43560001254081726},{"id":"https://openalex.org/keywords/search-algorithm","display_name":"Search algorithm","score":0.42579999566078186},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.40459999442100525},{"id":"https://openalex.org/keywords/best-first-search","display_name":"Best-first search","score":0.32199999690055847}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.6057999730110168},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5690000057220459},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5117999911308289},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.49799999594688416},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.49720001220703125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47350001335144043},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4528999924659729},{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.43560001254081726},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.42579999566078186},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.40459999442100525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35530000925064087},{"id":"https://openalex.org/C46011968","wikidata":"https://www.wikidata.org/wiki/Q830527","display_name":"Best-first search","level":4,"score":0.32199999690055847},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C124527596","wikidata":"https://www.wikidata.org/wiki/Q17029359","display_name":"Hierarchical control system","level":3,"score":0.2833999991416931},{"id":"https://openalex.org/C62641251","wikidata":"https://www.wikidata.org/wiki/Q7269097","display_name":"Quantum sort","level":5,"score":0.2816999852657318},{"id":"https://openalex.org/C831591","wikidata":"https://www.wikidata.org/wiki/Q59750","display_name":"Bidirectional search","level":5,"score":0.27799999713897705},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C144986985","wikidata":"https://www.wikidata.org/wiki/Q871236","display_name":"Hierarchical database model","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itw.2011.6089429","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089429","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1205.0529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.0529","pdf_url":"https://arxiv.org/pdf/1205.0529","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1205.0529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.0529","pdf_url":"https://arxiv.org/pdf/1205.0529","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1963840417","https://openalex.org/W1980458533","https://openalex.org/W1992020227","https://openalex.org/W2002372750","https://openalex.org/W2028218798","https://openalex.org/W2037147935","https://openalex.org/W2098579288","https://openalex.org/W2160185408","https://openalex.org/W2161401340","https://openalex.org/W2169764118","https://openalex.org/W6864699262"],"related_works":[],"abstract_inverted_index":{"The":[0],"\u201cabstract":[1],"search":[2,58],"algorithm\u201d":[3],"is":[4],"a":[5,12,16],"well":[6],"known":[7],"quantum":[8,65],"method":[9,44],"to":[10,24,46,86],"find":[11],"marked":[13],"vertex":[14],"in":[15,51,60],"graph.":[17],"It":[18],"has":[19],"been":[20],"applied":[21],"with":[22],"success":[23],"searching":[25],"algorithms":[26,59],"for":[27,41],"the":[28,31,48,79,83],"hypercube":[29],"and":[30],"two-dimensional":[32],"grid.":[33],"In":[34],"this":[35],"work":[36],"we":[37],"provide":[38,47],"an":[39],"example":[40],"which":[42],"that":[43],"fails":[45],"best":[49],"algorithm":[50],"terms":[52],"of":[53,82],"time":[54],"complexity.":[55],"We":[56],"analyze":[57],"degree-3":[61],"hierarchical":[62,80],"networks":[63],"using":[64],"walks":[66],"driven":[67],"by":[68],"non-groverian":[69],"coins.":[70],"Our":[71],"conclusions":[72],"are":[73],"based":[74],"on":[75],"numerical":[76],"simulations,":[77],"but":[78],"structures":[81],"graphs":[84],"seems":[85],"allow":[87],"analytical":[88],"results.":[89]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}