{"id":"https://openalex.org/W4376851687","doi":"https://doi.org/10.1587/transfun.2022eap1159","title":"A SAT Approach to the Initial Mapping Problem in SWAP Gate Insertion for Commuting Gates","display_name":"A SAT Approach to the Initial Mapping Problem in SWAP Gate Insertion for Commuting Gates","publication_year":2023,"publication_date":"2023-05-16","ids":{"openalex":"https://openalex.org/W4376851687","doi":"https://doi.org/10.1587/transfun.2022eap1159"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.2022eap1159","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2022eap1159","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/11/E106.A_2022EAP1159/_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/E106.A/11/E106.A_2022EAP1159/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022957430","display_name":"Atsushi Matsuo","orcid":"https://orcid.org/0000-0003-1071-2696"},"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"]},{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Atsushi MATSUO","raw_affiliation_strings":["IBM Quantum, IBM Research - Tokyo","Ritsumeikan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research - Tokyo","institution_ids":["https://openalex.org/I4210145865"]},{"raw_affiliation_string":"Ritsumeikan University","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"middle","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":["Ritsumeikan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ritsumeikan University","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027150880","display_name":"Daniel J. Egger","orcid":"https://orcid.org/0000-0002-5523-9807"},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Daniel J. EGGER","raw_affiliation_strings":["IBM Quantum, IBM Research - Z\u00fcrich R\u00fcschlikon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research - Z\u00fcrich R\u00fcschlikon","institution_ids":["https://openalex.org/I4210126328"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6106,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.91589483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"E106.A","issue":"11","first_page":"1424","last_page":"1431"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9912999868392944,"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/swap","display_name":"Swap (finance)","score":0.7025039196014404},{"id":"https://openalex.org/keywords/quantum-circuit","display_name":"Quantum circuit","score":0.6611592769622803},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.6584408283233643},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.642551839351654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5955047011375427},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5907409191131592},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.4650161564350128},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4541068971157074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44732236862182617},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.4308134913444519},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.42667078971862793},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.42346107959747314},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37206706404685974},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3599299192428589},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3273419141769409},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.24588730931282043},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12461411952972412},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11200690269470215},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09598854184150696}],"concepts":[{"id":"https://openalex.org/C99821215","wikidata":"https://www.wikidata.org/wiki/Q1136583","display_name":"Swap (finance)","level":2,"score":0.7025039196014404},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.6611592769622803},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6584408283233643},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.642551839351654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5955047011375427},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5907409191131592},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.4650161564350128},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4541068971157074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44732236862182617},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.4308134913444519},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.42667078971862793},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.42346107959747314},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37206706404685974},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3599299192428589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3273419141769409},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.24588730931282043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12461411952972412},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11200690269470215},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09598854184150696},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.2022eap1159","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2022eap1159","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/11/E106.A_2022EAP1159/_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.2022eap1159","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2022eap1159","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/11/E106.A_2022EAP1159/_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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4376851687.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W90768366","https://openalex.org/W1568345435","https://openalex.org/W1963734567","https://openalex.org/W2044693496","https://openalex.org/W2101234009","https://openalex.org/W2110587578","https://openalex.org/W2121947440","https://openalex.org/W2147405597","https://openalex.org/W2148493470","https://openalex.org/W2168676717","https://openalex.org/W2293104308","https://openalex.org/W2298410160","https://openalex.org/W2760965790","https://openalex.org/W2795050613","https://openalex.org/W2809729522","https://openalex.org/W2887267683","https://openalex.org/W2888326017","https://openalex.org/W2889938786","https://openalex.org/W2903058119","https://openalex.org/W2912359415","https://openalex.org/W2930242962","https://openalex.org/W2943212343","https://openalex.org/W2963908124","https://openalex.org/W2980678955","https://openalex.org/W2980835754","https://openalex.org/W3013348036","https://openalex.org/W3015667706","https://openalex.org/W3016555448","https://openalex.org/W3041333143","https://openalex.org/W3100329061","https://openalex.org/W3100894865","https://openalex.org/W3102896149","https://openalex.org/W3104914200","https://openalex.org/W3105677655","https://openalex.org/W3129110052","https://openalex.org/W3193251185","https://openalex.org/W3206088030","https://openalex.org/W3208514896","https://openalex.org/W3209612530","https://openalex.org/W4253806542","https://openalex.org/W4281914514","https://openalex.org/W4310854203","https://openalex.org/W4385245620"],"related_works":["https://openalex.org/W2045473016","https://openalex.org/W3092615945","https://openalex.org/W4379115997","https://openalex.org/W4318620911","https://openalex.org/W4226174265","https://openalex.org/W2066640878","https://openalex.org/W2972575096","https://openalex.org/W2808177279","https://openalex.org/W3185760328","https://openalex.org/W3156963889"],"abstract_inverted_index":{"Most":[0],"quantum":[1,10,191,206],"circuits":[2,104],"require":[3],"SWAP":[4,18,37],"gate":[5,19,122],"insertion":[6,20],"to":[7,98,109,147,151,166,201],"run":[8],"on":[9,41,204],"hardware":[11,111,207],"with":[12,105,112,128,143,179,208],"limited":[13],"qubit":[14],"connectivity.":[15],"A":[16,45],"promising":[17],"method":[21,116],"for":[22,49,103,124,174],"blocks":[23],"of":[24,36,56,66,81,160,190,211],"commuting":[25,67,106],"two-qubit":[26],"gates":[27,38,107],"is":[28,89],"a":[29,63,85,90,95,118,135,144,152,168,175],"predetermined":[30],"swap":[31,51,58,113,161],"strategy":[32,52],"which":[33],"applies":[34],"layers":[35,162],"simultaneously":[39],"executable":[40],"the":[42,50,54,72,110,140,158,188],"coupling":[43],"map.":[44],"good":[46,86,100],"initial":[47,87,101,172,183],"mapping":[48,88,173],"reduces":[53,157],"number":[55,159],"required":[57],"gates.":[59],"However,":[60],"even":[61],"when":[62],"circuit":[64],"consists":[65],"gates,":[68],"e.g.,":[69],"as":[70,194],"in":[71,121],"Quantum":[73],"Approximate":[74],"Optimization":[75],"Algorithm":[76],"(QAOA)":[77],"or":[78],"trotterized":[79],"simulations":[80],"Ising":[82,197],"Hamiltonians,":[83],"finding":[84],"hard":[91],"problem.":[92],"We":[93],"present":[94,134],"SAT-based":[96],"approach":[97,137,156],"find":[99],"mappings":[102,184],"transpiled":[108],"strategies.":[114],"Our":[115],"achieves":[117],"65%":[119],"reduction":[120],"count":[123],"random":[125,171,176],"three-regular":[126,177],"graphs":[127],"500":[129],"nodes.":[130,181],"In":[131],"addition,":[132],"we":[133],"heuristic":[136],"that":[138],"combines":[139],"SAT":[141],"formulation":[142],"clustering":[145],"algorithm":[146],"reduce":[148],"large":[149],"problems":[150],"manageable":[153],"size.":[154],"This":[155],"by":[163],"25%":[164],"compared":[165],"both":[167],"trivial":[169],"and":[170,196],"graph":[178],"1000":[180],"Good":[182],"will":[185],"therefore":[186],"enable":[187],"study":[189],"algorithms,":[192],"such":[193],"QAOA":[195],"Hamiltonian":[198],"simulation":[199],"applied":[200],"sparse":[202],"problems,":[203],"noisy":[205],"several":[209],"hundreds":[210],"qubits.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
