{"id":"https://openalex.org/W2928718125","doi":"https://doi.org/10.1109/tcad.2019.2907919","title":"Exact Synthesis of Nearest Neighbor Compliant Quantum Circuits in 2-D Architecture and Its Application to Large-Scale Circuits","display_name":"Exact Synthesis of Nearest Neighbor Compliant Quantum Circuits in 2-D Architecture and Its Application to Large-Scale Circuits","publication_year":2019,"publication_date":"2019-03-27","ids":{"openalex":"https://openalex.org/W2928718125","doi":"https://doi.org/10.1109/tcad.2019.2907919","mag":"2928718125"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2019.2907919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2019.2907919","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"},"type":"article","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/A5103181684","display_name":"Jingwen Ding","orcid":"https://orcid.org/0000-0002-5002-0873"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Jingwen Ding","raw_affiliation_strings":["Graduate School of Science and Engineering, Ritsumeikan University, Shiga, Japan"],"raw_orcid":"https://orcid.org/0000-0002-5002-0873","affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Ritsumeikan University, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068612356","display_name":"Shigeru Yamashita","orcid":"https://orcid.org/0000-0002-2279-4644"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shigeru Yamashita","raw_affiliation_strings":["Department of Computer Science, Ritsumeikan University, Shiga, Japan"],"raw_orcid":"https://orcid.org/0000-0002-2279-4644","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ritsumeikan University, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103181684"],"corresponding_institution_ids":["https://openalex.org/I135768898"],"apc_list":null,"apc_paid":null,"fwci":1.8784,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89254324,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"39","issue":"5","first_page":"1045","last_page":"1058"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9979000091552734,"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":0.9973999857902527,"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/quantum-circuit","display_name":"Quantum circuit","score":0.6967096924781799},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6058422923088074},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5574688911437988},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5431602597236633},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5355574488639832},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5264492630958557},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.5187768936157227},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5166893005371094},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.5039438605308533},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.48509323596954346},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4803403615951538},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4781968593597412},{"id":"https://openalex.org/keywords/k-nearest-neighbors-algorithm","display_name":"k-nearest neighbors algorithm","score":0.47152552008628845},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4680566191673279},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.45651623606681824},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3963106870651245},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3621557056903839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3394056558609009},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.31519991159439087},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.263505756855011},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11286643147468567},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10662898421287537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10073864459991455}],"concepts":[{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.6967096924781799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6058422923088074},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5574688911437988},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5431602597236633},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5355574488639832},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5264492630958557},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.5187768936157227},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5166893005371094},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5039438605308533},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.48509323596954346},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4803403615951538},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4781968593597412},{"id":"https://openalex.org/C113238511","wikidata":"https://www.wikidata.org/wiki/Q1071612","display_name":"k-nearest neighbors algorithm","level":2,"score":0.47152552008628845},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4680566191673279},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.45651623606681824},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3963106870651245},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3621557056903839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3394056558609009},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.31519991159439087},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.263505756855011},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11286643147468567},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10662898421287537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10073864459991455},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcad.2019.2907919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2019.2907919","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2039334128","display_name":null,"funder_award_id":"18K19790","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7906208556","display_name":null,"funder_award_id":"15H01677","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W173076464","https://openalex.org/W1569024294","https://openalex.org/W1599281901","https://openalex.org/W1631356911","https://openalex.org/W1635099911","https://openalex.org/W1661190760","https://openalex.org/W1681009172","https://openalex.org/W1707696424","https://openalex.org/W1975824633","https://openalex.org/W1976996072","https://openalex.org/W2003043756","https://openalex.org/W2009172151","https://openalex.org/W2023675295","https://openalex.org/W2037129099","https://openalex.org/W2044693496","https://openalex.org/W2053615683","https://openalex.org/W2084652510","https://openalex.org/W2102008187","https://openalex.org/W2104590612","https://openalex.org/W2113620420","https://openalex.org/W2116385615","https://openalex.org/W2122701426","https://openalex.org/W2123063952","https://openalex.org/W2128960899","https://openalex.org/W2130753923","https://openalex.org/W2136275504","https://openalex.org/W2144272791","https://openalex.org/W2145633150","https://openalex.org/W2150088560","https://openalex.org/W2179731956","https://openalex.org/W2295543109","https://openalex.org/W2295914076","https://openalex.org/W2339327743","https://openalex.org/W2366766315","https://openalex.org/W2517008720","https://openalex.org/W2566002283","https://openalex.org/W2588675857","https://openalex.org/W2951189305","https://openalex.org/W2963431505","https://openalex.org/W2964229072","https://openalex.org/W2990961515","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W3147622110","https://openalex.org/W6635928891","https://openalex.org/W6636529016","https://openalex.org/W6636947554","https://openalex.org/W6637303512","https://openalex.org/W6676902770","https://openalex.org/W6680302313","https://openalex.org/W6697370231","https://openalex.org/W6726515367","https://openalex.org/W6731388818"],"related_works":["https://openalex.org/W4375959436","https://openalex.org/W1986555820","https://openalex.org/W4389168354","https://openalex.org/W2037426566","https://openalex.org/W2916307283","https://openalex.org/W4226169699","https://openalex.org/W4300979534","https://openalex.org/W3092615945","https://openalex.org/W2254754114","https://openalex.org/W3101020049"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,108],"propose":[4,109],"an":[5,51,61,65,150,157],"exact":[6,100,115],"method":[7,30,85,101,111,116,160],"of":[8,53,56,90,112,121,138,152,166],"directly":[9],"synthesizing":[10],"a":[11,26,36,43,54,74],"nearest":[12],"neighbor":[13],"compliant":[14],"(NNC)":[15],"quantum":[16,58,80,91,129,136,141],"circuit":[17,81],"with":[18],"the":[19,32,78,87,94,118,132,135,139,163],"smallest":[20,88,164],"depth":[21],"in":[22,117,125,169],"2-D":[23,170],"architecture,":[24],"given":[25],"reversible":[27],"function.":[28],"Our":[29],"maps":[31],"synthesis":[33,120],"problem":[34,40],"to":[35,49,124,156],"Boolean":[37],"satisfiability":[38,44],"(SAT)":[39],"and":[41],"uses":[42],"modulo":[45],"theories":[46],"(SMT)":[47],"solver":[48,63],"find":[50],"assignment":[52],"network":[55],"allowed":[57],"gates.":[59,92],"Since":[60],"SMT":[62],"performs":[64],"exhaustive":[66,95],"search,":[67],"it":[68],"can":[69],"be":[70],"ensured":[71],"that":[72,106],"on":[73],"specific":[75],"qubit":[76],"placement,":[77],"NNC":[79,140],"synthesized":[82,143],"by":[83,144,149],"our":[84,99,114,145],"has":[86],"number":[89,165],"However,":[93],"search":[96],"also":[97],"makes":[98],"not":[102],"scale":[103],"well.":[104],"For":[105],"reason,":[107],"another":[110],"applying":[113],"local":[119],"large-scale":[122],"circuits,":[123],"parallel":[126],"synthesize":[127],"sub-NNC":[128],"circuits.":[130],"From":[131],"experimental":[133],"results,":[134],"costs":[137],"circuits":[142],"methods":[146],"are":[147],"reduced":[148],"average":[151],"23.89%,":[153],"when":[154],"compared":[155],"optimal":[158],"heuristic":[159],"which":[161],"determines":[162],"SWAP":[167],"gates":[168],"architecture.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}