{"id":"https://openalex.org/W4394007604","doi":"https://doi.org/10.1103/b6jg-p8mr","title":"Quantum querying based on multicontrolled Toffoli gates for causal Feynman loop configurations and directed acyclic graphs","display_name":"Quantum querying based on multicontrolled Toffoli gates for causal Feynman loop configurations and directed acyclic graphs","publication_year":2026,"publication_date":"2026-06-25","ids":{"openalex":"https://openalex.org/W4394007604","doi":"https://doi.org/10.1103/b6jg-p8mr"},"language":"en","primary_location":{"id":"doi:10.1103/b6jg-p8mr","doi":"https://doi.org/10.1103/b6jg-p8mr","is_oa":true,"landing_page_url":"https://doi.org/10.1103/b6jg-p8mr","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1103/b6jg-p8mr","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033167166","display_name":"Selomit Ram\u00edrez-Uribe","orcid":"https://orcid.org/0000-0003-3875-4951","observed_orcids":["https://orcid.org/0000-0003-3875-4951"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]},{"id":"https://openalex.org/I196375840","display_name":"Universidad Aut\u00f3noma de Sinaloa","ror":"https://ror.org/05g1mh260","country_code":"MX","type":"education","lineage":["https://openalex.org/I196375840"]},{"id":"https://openalex.org/I4210101901","display_name":"Instituto de F\u00edsica Corpuscular","ror":"https://ror.org/017xch102","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I16097986","https://openalex.org/I4210101901"]}],"countries":["ES","MX"],"is_corresponding":false,"raw_author_name":"Selomit Ram\u00edrez-Uribe","raw_affiliation_strings":["Consejo Superior de Investigaciones Cient\u00edficas","Instituto de F\u00edsica Corpuscular","Universidad Aut\u00f3noma de Sinaloa","Universitat de Val\u00e8ncia"],"raw_orcid":"https://orcid.org/0000-0003-3875-4951","affiliations":[{"raw_affiliation_string":"Consejo Superior de Investigaciones Cient\u00edficas","institution_ids":["https://openalex.org/I134820265"]},{"raw_affiliation_string":"Instituto de F\u00edsica Corpuscular","institution_ids":["https://openalex.org/I4210101901"]},{"raw_affiliation_string":"Universidad Aut\u00f3noma de Sinaloa","institution_ids":["https://openalex.org/I196375840"]},{"raw_affiliation_string":"Universitat de Val\u00e8ncia","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080314069","display_name":"Andr\u00e9s E. Renter\u00eda-Olivo","orcid":"https://orcid.org/0000-0002-5924-3512","observed_orcids":["https://orcid.org/0000-0002-5924-3512"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]},{"id":"https://openalex.org/I4210101901","display_name":"Instituto de F\u00edsica Corpuscular","ror":"https://ror.org/017xch102","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I16097986","https://openalex.org/I4210101901"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Andr\u00e9s E. Renter\u00eda-Olivo","raw_affiliation_strings":["Consejo Superior de Investigaciones Cient\u00edficas","Instituto de F\u00edsica Corpuscular","Universitat de Val\u00e8ncia"],"raw_orcid":"https://orcid.org/0000-0002-5924-3512","affiliations":[{"raw_affiliation_string":"Consejo Superior de Investigaciones Cient\u00edficas","institution_ids":["https://openalex.org/I134820265"]},{"raw_affiliation_string":"Instituto de F\u00edsica Corpuscular","institution_ids":["https://openalex.org/I4210101901"]},{"raw_affiliation_string":"Universitat de Val\u00e8ncia","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070196685","display_name":"Germ\u00e1n Rodrigo A","orcid":"https://orcid.org/0000-0003-0451-0529","observed_orcids":["https://orcid.org/0000-0003-0451-0529"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]},{"id":"https://openalex.org/I4210101901","display_name":"Instituto de F\u00edsica Corpuscular","ror":"https://ror.org/017xch102","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I16097986","https://openalex.org/I4210101901"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Germ\u00e1n Rodrigo","raw_affiliation_strings":["Consejo Superior de Investigaciones Cient\u00edficas","Instituto de F\u00edsica Corpuscular","Universitat de Val\u00e8ncia"],"raw_orcid":"https://orcid.org/0000-0003-0451-0529","affiliations":[{"raw_affiliation_string":"Consejo Superior de Investigaciones Cient\u00edficas","institution_ids":["https://openalex.org/I134820265"]},{"raw_affiliation_string":"Instituto de F\u00edsica Corpuscular","institution_ids":["https://openalex.org/I4210101901"]},{"raw_affiliation_string":"Universitat de Val\u00e8ncia","institution_ids":["https://openalex.org/I16097986"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00282835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"114","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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":0.0,"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/feynman-diagrams","display_name":"Feynman diagrams","score":0.8610000014305115},{"id":"https://openalex.org/keywords/causal-configurations","display_name":"causal configurations","score":0.5849999785423279},{"id":"https://openalex.org/keywords/directed-acyclic-graphs","display_name":"directed acyclic graphs","score":0.9240000247955322},{"id":"https://openalex.org/keywords/quantum-oracles","display_name":"quantum oracle","score":0.5649999976158142}],"concepts":[{"id":"https://openalex.org/C142465778","wikidata":"https://www.wikidata.org/wiki/Q2502619","display_name":"Toffoli gate","level":5,"score":0.9095594882965088},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.5632466077804565},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.5529325008392334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4609679579734802},{"id":"https://openalex.org/C65574998","wikidata":"https://www.wikidata.org/wiki/Q386272","display_name":"Feynman diagram","level":2,"score":0.4550125002861023},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4149722456932068},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.3890896737575531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38444578647613525},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2539348900318146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2418156862258911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2323693335056305},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.17502069473266602},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13803315162658691},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07709619402885437}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/b6jg-p8mr","doi":"https://doi.org/10.1103/b6jg-p8mr","is_oa":true,"landing_page_url":"https://doi.org/10.1103/b6jg-p8mr","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2404.03544","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.03544","pdf_url":"https://arxiv.org/pdf/2404.03544","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},{"id":"doi:10.48550/arxiv.2404.03544","doi":"https://doi.org/10.48550/arxiv.2404.03544","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.03544","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1103/b6jg-p8mr","doi":"https://doi.org/10.1103/b6jg-p8mr","is_oa":true,"landing_page_url":"https://doi.org/10.1103/b6jg-p8mr","pdf_url":null,"source":{"id":"https://openalex.org/S4210238307","display_name":"Physical review. D/Physical review. D.","issn_l":"2470-0010","issn":["2470-0010","2470-0029","2470-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review D","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1175115578","display_name":null,"funder_award_id":"AEI//10.13039/501100011033/","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G1422035950","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G2215508199","display_name":null,"funder_award_id":"PID2020-114473GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3176647223","display_name":null,"funder_award_id":"CEX2023-001292-S","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G34346518","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501 100 011 033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4014979219","display_name":null,"funder_award_id":"CEX2023-001292","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4214789025","display_name":null,"funder_award_id":"PID2023-146220NB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G425668148","display_name":null,"funder_award_id":".13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5222023348","display_name":null,"funder_award_id":"CEX-2023-001292-S","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G792975244","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501100011033/","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G8202366302","display_name":null,"funder_award_id":"ASFAE2022/009","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G8404905901","display_name":null,"funder_award_id":"PROMETEO/2021/071","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8657893973","display_name":null,"funder_award_id":"PROMETEO/2021/071","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320321864","display_name":"Generalitat Valenciana","ror":"https://ror.org/0097mvx21"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"},{"id":"https://openalex.org/F4320336053","display_name":"Sistema Nacional de Investigadores","ror":"https://ror.org/02h3fqt03"},{"id":"https://openalex.org/F7311471023","display_name":"NextGenerationEU","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W6979255635","https://openalex.org/W4308829347","https://openalex.org/W3161591545","https://openalex.org/W4226063798","https://openalex.org/W4393257709","https://openalex.org/W4309705171","https://openalex.org/W4389135190","https://openalex.org/W4384615858","https://openalex.org/W3131720005","https://openalex.org/W4378942754"],"abstract_inverted_index":{"Quantum":[0],"algorithms":[1],"are":[2],"a":[3,37,48,91],"promising":[4],"framework":[5],"for":[6,40],"unfolding":[7],"the":[8,20,54,63,84,101,112,115,117,141],"causal":[9],"configurations":[10,25],"of":[11,26,45,56,62,83,103,114,144],"multiloop":[12],"Feynman":[13],"diagrams,":[14],"which":[15,129],"is":[16,66,86],"equivalent":[17],"to":[18,110,136],"querying":[19,41],"directed":[21],"acyclic":[22],"graph":[23,30],"(DAG)":[24],"undirected":[27],"graphs":[28],"in":[29,42,53],"theory.":[31],"In":[32],"this":[33],"paper,":[34],"we":[35,99],"present":[36],"quantum":[38,64,75,92,118,145],"algorithm":[39,85,93],"both":[43],"types":[44],"applications,":[46],"using":[47],"systematic":[49],"and":[50,74,105,126,140],"sparing":[51],"logic":[52],"design":[55],"an":[57,107],"oracle":[58,65],"operator.":[59],"The":[60,81],"construction":[61],"based":[67,94],"exclusively":[68],"on":[69,95],"multicontrolled":[70],"Toffoli":[71],"(MCX)":[72],"gates":[73],"NOT":[76],"(Pauli-":[77],"X":[78],")":[79],"gates.":[80],"efficiency":[82],"evaluated":[87],"by":[88],"comparison":[89],"with":[90],"binary":[96],"clauses.":[97],"Furthermore,":[98],"analyze":[100,123],"impact":[102],"traspilation":[104],"introduce":[106],"appropriate":[108],"metric":[109],"assess":[111],"complexity":[113,139],"algorithm,":[116],"circuit":[119],"area.":[120],"We":[121],"explicitly":[122],"three-,":[124],"four-":[125],"five-eloop":[127],"topologies,":[128],"have":[130],"not":[131],"previously":[132],"been":[133],"explored":[134],"due":[135],"their":[137],"higher":[138],"current":[142],"limitations":[143],"simulators.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2024-04-06T00:00:00"}
