{"id":"https://openalex.org/W4404766579","doi":"https://doi.org/10.1145/3706064","title":"Multimarked Spatial Search by Continuous-Time Quantum Walk","display_name":"Multimarked Spatial Search by Continuous-Time Quantum Walk","publication_year":2024,"publication_date":"2024-11-27","ids":{"openalex":"https://openalex.org/W4404766579","doi":"https://doi.org/10.1145/3706064"},"language":"en","primary_location":{"id":"doi:10.1145/3706064","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3706064","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3706064","source":{"id":"https://openalex.org/S4210170170","display_name":"ACM Transactions on Quantum Computing","issn_l":"2643-6809","issn":["2643-6809","2643-6817"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Quantum Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3706064","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014284667","display_name":"Pedro H. G. Lug\u00e3o","orcid":"https://orcid.org/0000-0002-2316-445X"},"institutions":[{"id":"https://openalex.org/I158509141","display_name":"Federal Center for Technological Education Celso Suckow da Fonseca","ror":"https://ror.org/03j8tnm47","country_code":"BR","type":"education","lineage":["https://openalex.org/I1293487690","https://openalex.org/I158509141","https://openalex.org/I2801200668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Pedro Lug\u00e3o","raw_affiliation_strings":["Federal Center for Technological Education Celso Suckow da Fonseca, Petr\u00f3polis, Brazil","Federal Center for Technological Education Celso Suckow da Fonseca,  Petr\u00f3polis, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-2316-445X","affiliations":[{"raw_affiliation_string":"Federal Center for Technological Education Celso Suckow da Fonseca, Petr\u00f3polis, Brazil","institution_ids":["https://openalex.org/I158509141"]},{"raw_affiliation_string":"Federal Center for Technological Education Celso Suckow da Fonseca,  Petr\u00f3polis, Brazil","institution_ids":["https://openalex.org/I158509141"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008778719","display_name":"Renato Portugal","orcid":"https://orcid.org/0000-0003-0894-4279"},"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, Brazil","Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica,  Petropolis, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-0894-4279","affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica, Petropolis, Brazil","institution_ids":["https://openalex.org/I4210142352"]},{"raw_affiliation_string":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica,  Petropolis, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068144638","display_name":"Mohamed Sabri","orcid":"https://orcid.org/0000-0001-9440-6236"},"institutions":[{"id":"https://openalex.org/I181714291","display_name":"Open University of Sri Lanka","ror":"https://ror.org/011rrqf91","country_code":"LK","type":"education","lineage":["https://openalex.org/I181714291"]}],"countries":["LK"],"is_corresponding":false,"raw_author_name":"Mohamed Sabri","raw_affiliation_strings":["Open University of Sri Lanka, Nugegoda, Sri Lanka","Open University of Sri Lanka, Nugegoda Sri Lanka"],"raw_orcid":"https://orcid.org/0000-0001-9440-6236","affiliations":[{"raw_affiliation_string":"Open University of Sri Lanka, Nugegoda, Sri Lanka","institution_ids":["https://openalex.org/I181714291"]},{"raw_affiliation_string":"Open University of Sri Lanka, Nugegoda Sri Lanka","institution_ids":["https://openalex.org/I181714291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008263517","display_name":"Hajime Tanaka","orcid":"https://orcid.org/0000-0002-5958-0375"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hajime Tanaka","raw_affiliation_strings":["Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan"],"raw_orcid":"https://orcid.org/0000-0002-5958-0375","affiliations":[{"raw_affiliation_string":"Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9164,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80204173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"5","issue":"4","first_page":"1","last_page":"20"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9976000189781189,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.6667919754981995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3955383896827698},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3585052490234375},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19129401445388794},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.11372095346450806},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11243599653244019}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.6667919754981995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3955383896827698},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3585052490234375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19129401445388794},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.11372095346450806},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11243599653244019}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3706064","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3706064","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3706064","source":{"id":"https://openalex.org/S4210170170","display_name":"ACM Transactions on Quantum Computing","issn_l":"2643-6809","issn":["2643-6809","2643-6817"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Quantum Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3706064","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3706064","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3706064","source":{"id":"https://openalex.org/S4210170170","display_name":"ACM Transactions on Quantum Computing","issn_l":"2643-6809","issn":["2643-6809","2643-6817"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Quantum Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3759346331","display_name":null,"funder_award_id":"140897/2020-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4731098310","display_name":null,"funder_award_id":"308923/2019-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G975805369","display_name":null,"funder_award_id":"CNE E-26/202.872/2018","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404766579.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1495395477","https://openalex.org/W1519689626","https://openalex.org/W1561344775","https://openalex.org/W1567572815","https://openalex.org/W1975528636","https://openalex.org/W1998539366","https://openalex.org/W2002372750","https://openalex.org/W2006096862","https://openalex.org/W2018701021","https://openalex.org/W2025956887","https://openalex.org/W2040927484","https://openalex.org/W2052228615","https://openalex.org/W2153988305","https://openalex.org/W2215009292","https://openalex.org/W2222710443","https://openalex.org/W2227624811","https://openalex.org/W2272513021","https://openalex.org/W2284228492","https://openalex.org/W2579719476","https://openalex.org/W2791489004","https://openalex.org/W2810499683","https://openalex.org/W2884082831","https://openalex.org/W2889830490","https://openalex.org/W2906945468","https://openalex.org/W2911696848","https://openalex.org/W2945841349","https://openalex.org/W2995228735","https://openalex.org/W3000276910","https://openalex.org/W3004545975","https://openalex.org/W3019690156","https://openalex.org/W3035494902","https://openalex.org/W3089313213","https://openalex.org/W3103093545","https://openalex.org/W3103697385","https://openalex.org/W3119568205","https://openalex.org/W3136388033","https://openalex.org/W3192868571","https://openalex.org/W3215197801","https://openalex.org/W4210704695","https://openalex.org/W4225890149","https://openalex.org/W4255333822","https://openalex.org/W4298236575","https://openalex.org/W4306176824","https://openalex.org/W4393990006"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4221160056","https://openalex.org/W2035499096","https://openalex.org/W3015065480","https://openalex.org/W3098409023","https://openalex.org/W3124364789","https://openalex.org/W2952147420","https://openalex.org/W1991924571"],"abstract_inverted_index":{"The":[0,57,81,99,131],"quantum-walk-based":[1],"spatial":[2,31,154],"search":[3,32],"problem":[4,156],"aims":[5],"to":[6],"find":[7],"a":[8,12,16,23,42,63,114,136,162],"marked":[9,19,79,129,168],"vertex":[10],"using":[11],"quantum":[13,35,58],"walk":[14,36,59],"on":[15,37,87,125,157],"graph":[17,72],"with":[18,161,166,181],"vertices.":[20,80,130,169,195],"We":[21,144],"describe":[22],"framework":[24,85,150],"for":[25,44],"determining":[26],"the":[27,46,51,55,67,71,75,78,88,91,96,102,108,111,120,126,139,149,153,158,174,192],"computational":[28],"complexity":[29],"of":[30,54,70,77,83,90,95,101,110,113,122,128,138,141,148,185,194],"by":[33,40,62,74,151],"continuous-time":[34],"arbitrary":[38],"graphs":[39,160],"providing":[41],"recipe":[43],"finding":[45],"optimal":[47,175],"running":[48,176],"time":[49,177],"and":[50,93,165],"success":[52,82],"probability":[53,184],"algorithm.":[56],"is":[60,104,178,191],"driven":[61],"Hamiltonian":[64,103],"derived":[65],"from":[66,107,135],"adjacency":[68,97],"matrix":[69,117],"modified":[73],"presence":[76],"our":[84],"depends":[86],"knowledge":[89],"eigenvalues":[92],"eigenvectors":[94,132],"matrix.":[98],"spectrum":[100],"subsequently":[105],"obtained":[106],"roots":[109],"determinant":[112],"real":[115],"symmetric":[116],"M":[118,142],",":[119],"dimensions":[121],"which":[123],"depend":[124],"number":[127,193],"are":[133],"determined":[134],"basis":[137],"kernel":[140],".":[143],"show":[145,172],"each":[146],"step":[147],"solving":[152],"searching":[155],"Johnson":[159],"fixed":[163],"diameter":[164],"two":[167],"Our":[170],"calculations":[171],"that":[173],"\\(O(\\sqrt":[179],"{N})\\)":[180],"an":[182],"asymptotic":[183],"1+":[186],"o":[187],"(1),":[188],"where":[189],"N":[190]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}