{"id":"https://openalex.org/W4400641375","doi":"https://doi.org/10.1587/transfun.2023eap1165","title":"Reducing T-Count in Quantum Circuits Using Alternate Forms of the Relative Phase Toffoli Gate","display_name":"Reducing T-Count in Quantum Circuits Using Alternate Forms of the Relative Phase Toffoli Gate","publication_year":2024,"publication_date":"2024-07-15","ids":{"openalex":"https://openalex.org/W4400641375","doi":"https://doi.org/10.1587/transfun.2023eap1165"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.2023eap1165","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2023eap1165","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E108.A/1/E108.A_2023EAP1165/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.jstage.jst.go.jp/article/transfun/E108.A/1/E108.A_2023EAP1165/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092254599","display_name":"David Clarino","orcid":null},"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":"David CLARINO","raw_affiliation_strings":["Graduate School of Information Science and Engineering, Ritsumeikan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Engineering, Ritsumeikan University","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048031497","display_name":"Shohei Kuroda","orcid":null},"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":"Shohei KURODA","raw_affiliation_strings":["Graduate School of Information Science and Engineering, Ritsumeikan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Engineering, Ritsumeikan University","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":["Graduate School of Information Science and Engineering, Ritsumeikan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Engineering, Ritsumeikan University","institution_ids":["https://openalex.org/I135768898"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135768898"],"apc_list":null,"apc_paid":null,"fwci":0.222,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47397805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"E108.A","issue":"1","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.996399998664856,"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"}},"topics":[{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.996399998664856,"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"}},{"id":"https://openalex.org/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10472","display_name":"Semiconductor materials and devices","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/toffoli-gate","display_name":"Toffoli gate","score":0.9620946645736694},{"id":"https://openalex.org/keywords/gate-count","display_name":"Gate count","score":0.621558427810669},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5449120998382568},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5125736594200134},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.4609001874923706},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44935017824172974},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3881300687789917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3756004571914673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3196355104446411},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2612125873565674},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.18385478854179382},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15602201223373413},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.15050581097602844}],"concepts":[{"id":"https://openalex.org/C142465778","wikidata":"https://www.wikidata.org/wiki/Q2502619","display_name":"Toffoli gate","level":5,"score":0.9620946645736694},{"id":"https://openalex.org/C2777892113","wikidata":"https://www.wikidata.org/wiki/Q5527005","display_name":"Gate count","level":2,"score":0.621558427810669},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5449120998382568},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5125736594200134},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.4609001874923706},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44935017824172974},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3881300687789917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3756004571914673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3196355104446411},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2612125873565674},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.18385478854179382},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15602201223373413},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.15050581097602844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.2023eap1165","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2023eap1165","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E108.A/1/E108.A_2023EAP1165/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transfun.2023eap1165","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2023eap1165","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E108.A/1/E108.A_2023EAP1165/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G2454440472","display_name":"\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u30fb\u8a08\u7b97\u91cf\u30fb\u6d45\u5c64\u56de\u8def\u3068\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u5b9f\u6a5f\u5b9f\u9a13\u306b\u3088\u308b\u91cf\u5b50\u512a\u4f4d\u6027\u7814\u7a76","funder_award_id":"20H00579","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5915256019","display_name":null,"funder_award_id":"20H05966","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7494789048","display_name":"\u91cf\u5b50\u72b6\u614b\u306e\u4f4d\u76f8\u3068\u8ad6\u7406\u5024\u306e\u60c5\u5831\u3092\u540c\u6642\u306b\u6271\u3046\u91cf\u5b50\u56de\u8def\u8a2d\u8a08\u7406\u8ad6\u306e\u69cb\u7bc9","funder_award_id":"24K22298","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400641375.pdf","grobid_xml":"https://content.openalex.org/works/W4400641375.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1665116568","https://openalex.org/W1749786511","https://openalex.org/W2033210979","https://openalex.org/W2102008187","https://openalex.org/W2122701426","https://openalex.org/W2130753923","https://openalex.org/W2161982050","https://openalex.org/W3209612530","https://openalex.org/W4293210308"],"related_works":["https://openalex.org/W1646177681","https://openalex.org/W1651824144","https://openalex.org/W2112464002","https://openalex.org/W4226083026","https://openalex.org/W2952501302","https://openalex.org/W2114969008","https://openalex.org/W4384933309","https://openalex.org/W4300890504","https://openalex.org/W4297650633","https://openalex.org/W2766240901"],"abstract_inverted_index":{"Toffoli":[0,14,50],"gates":[1,15,42],"are":[2,16],"an":[3,83],"important":[4],"primitive":[5],"in":[6,28,124,145],"reversible":[7],"Boolean":[8],"logic.":[9],"In":[10,78],"quantum":[11,32,76],"computation,":[12],"these":[13],"composed":[17],"using":[18],"other":[19],"elementary":[20],"gates,":[21],"most":[22,146],"notably":[23],"the":[24,34,44,64,74,86,96,111,128,132],"Clifford+T":[25],"basis.":[26],"However,":[27],"fault-tolerant":[29],"implementations":[30],"of":[31,66,99,104,110,152],"circuits,":[33],"T-gate":[35],"incurs":[36],"extra":[37],"cost":[38,65],"relative":[39,69,87,133],"to":[40,59,126,130],"Clifford":[41],"like":[43],"S-gate":[45],"and":[46,148],"CNOT":[47],"gate.":[48],"Relative-phase":[49],"Gates":[51],"(RTOFs)":[52],"have":[53],"been":[54],"proposed":[55],"as":[56],"a":[57,68,142],"way":[58],"reduce":[60],"this":[61,79],"T-count":[62],"at":[63],"incurring":[67],"phase":[70,88],"that":[71,85,138,154],"could":[72,156],"skew":[73],"final":[75],"states.":[77],"paper,":[80],"we":[81],"utilize":[82],"observation":[84],"which":[89],"RTOFs":[90],"introduce":[91],"can":[92],"be":[93,157],"canceled":[94],"by":[95],"appropriate":[97],"application":[98],"less":[100],"expensive":[101],"S-gates":[102,115],"instead":[103],"T-gates.":[105],"It":[106],"leverages":[107],"alternate":[108],"forms":[109],"RTOF":[112],"including":[113],"incorporating":[114],"into":[116],"it":[117,155],"or":[118],"moving":[119],"around":[120],"its":[121],"input":[122],"bits":[123],"order":[125],"simplify":[127],"logic":[129],"erase":[131],"phase.":[134],"We":[135],"find":[136],"experimentally":[137],"our":[139],"method":[140],"has":[141],"clear":[143],"advantage":[144],"cases,":[147],"identify":[149],"several":[150],"types":[151],"circuits":[153],"synergistic":[158],"with.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-25T07:29:55.448023","created_date":"2025-10-10T00:00:00"}
