{"id":"https://openalex.org/W4322619152","doi":"https://doi.org/10.22331/q-2023-11-03-1160","title":"Integrable Quantum Circuits from the Star-Triangle Relation","display_name":"Integrable Quantum Circuits from the Star-Triangle Relation","publication_year":2023,"publication_date":"2023-11-03","ids":{"openalex":"https://openalex.org/W4322619152","doi":"https://doi.org/10.22331/q-2023-11-03-1160"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-11-03-1160","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-11-03-1160","pdf_url":"https://quantum-journal.org/papers/q-2023-11-03-1160/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2023-11-03-1160/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033108781","display_name":"Yuan Miao","orcid":"https://orcid.org/0000-0003-2086-1900"},"institutions":[{"id":"https://openalex.org/I166644833","display_name":"Kavli Institute for the Physics and Mathematics of the Universe","ror":"https://ror.org/02chw6z69","country_code":"JP","type":"facility","lineage":["https://openalex.org/I166644833"]},{"id":"https://openalex.org/I2800251467","display_name":"Istituto Nazionale di Fisica Nucleare, Galileo Galilei Institute for Theoretical Physics","ror":"https://ror.org/030ws5c69","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I2800251467","https://openalex.org/I45084792"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["IT","JP"],"is_corresponding":false,"raw_author_name":"Yuan Miao","raw_affiliation_strings":["Galileo Galilei Institute for Theoretical Physics, INFN, Largo Enrico Fermi, 2, 50125 Firenze, Italy","Kavli Institute for the Physics and Mathematics of the Universe (WPI),The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan"],"raw_orcid":"https://orcid.org/0000-0003-2086-1900","affiliations":[{"raw_affiliation_string":"Galileo Galilei Institute for Theoretical Physics, INFN, Largo Enrico Fermi, 2, 50125 Firenze, Italy","institution_ids":["https://openalex.org/I2800251467"]},{"raw_affiliation_string":"Kavli Institute for the Physics and Mathematics of the Universe (WPI),The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan","institution_ids":["https://openalex.org/I166644833","https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112802610","display_name":"\u00c9ric Vernier","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Vernier","raw_affiliation_strings":["Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation CNRS - Univ. Paris Cit\u00e9 - Sorbonne Univ. Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation CNRS - Univ. Paris Cit\u00e9 - Sorbonne Univ. Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.1211,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89429684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"1160","last_page":"1160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9948999881744385,"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":0.9948999881744385,"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/T11804","display_name":"Quantum many-body systems","score":0.9937000274658203,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.7381746172904968},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.6399784684181213},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.5817997455596924},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5619504451751709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5563249588012695},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4846087396144867},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4479757845401764},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43753552436828613},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4205205738544464},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.36905544996261597},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34781742095947266},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33690178394317627},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2706541419029236},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.173325777053833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14988330006599426},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13668006658554077}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.7381746172904968},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.6399784684181213},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.5817997455596924},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5619504451751709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5563249588012695},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4846087396144867},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4479757845401764},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43753552436828613},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4205205738544464},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36905544996261597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34781742095947266},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33690178394317627},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2706541419029236},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.173325777053833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14988330006599426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13668006658554077},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2023-11-03-1160","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-11-03-1160","pdf_url":"https://quantum-journal.org/papers/q-2023-11-03-1160/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2302.12675","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2302.12675","pdf_url":"https://arxiv.org/pdf/2302.12675","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:fd19f8fa406c4874af0c4649576f6d11","is_oa":true,"landing_page_url":"https://doaj.org/article/fd19f8fa406c4874af0c4649576f6d11","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 7, p 1160 (2023)","raw_type":"article"},{"id":"pmh:oai:oar:xkpbe-8z830","is_oa":true,"landing_page_url":"https://inspirehep.net/literature/2636330","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, 7(2023), 1160, (2023-11-03)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-11-03-1160","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-11-03-1160","pdf_url":"https://quantum-journal.org/papers/q-2023-11-03-1160/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5699999928474426}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4322619152.pdf"},"referenced_works_count":78,"referenced_works":["https://openalex.org/W163664537","https://openalex.org/W568489446","https://openalex.org/W830161403","https://openalex.org/W1540523483","https://openalex.org/W1858949336","https://openalex.org/W1977519609","https://openalex.org/W1981472754","https://openalex.org/W1982061413","https://openalex.org/W1983834866","https://openalex.org/W1986044362","https://openalex.org/W1986168108","https://openalex.org/W1995046412","https://openalex.org/W1997052948","https://openalex.org/W1998498098","https://openalex.org/W2010554309","https://openalex.org/W2011815453","https://openalex.org/W2015165083","https://openalex.org/W2037866808","https://openalex.org/W2040560269","https://openalex.org/W2049677880","https://openalex.org/W2058610983","https://openalex.org/W2064621141","https://openalex.org/W2074670256","https://openalex.org/W2075359953","https://openalex.org/W2086406991","https://openalex.org/W2089867976","https://openalex.org/W2094367303","https://openalex.org/W2138070596","https://openalex.org/W2143391819","https://openalex.org/W2155105088","https://openalex.org/W2155365991","https://openalex.org/W2179731956","https://openalex.org/W2225220691","https://openalex.org/W2241286470","https://openalex.org/W2291386803","https://openalex.org/W2298911903","https://openalex.org/W2306451729","https://openalex.org/W2314480200","https://openalex.org/W2317586084","https://openalex.org/W2332151856","https://openalex.org/W2336000172","https://openalex.org/W2402166583","https://openalex.org/W2460615089","https://openalex.org/W2465896183","https://openalex.org/W2512685237","https://openalex.org/W2582162495","https://openalex.org/W2619816662","https://openalex.org/W2754631049","https://openalex.org/W2775696823","https://openalex.org/W2776621698","https://openalex.org/W2807554053","https://openalex.org/W2890999059","https://openalex.org/W2902149996","https://openalex.org/W2904266363","https://openalex.org/W2905706739","https://openalex.org/W2942286900","https://openalex.org/W2966704199","https://openalex.org/W2990695459","https://openalex.org/W3010075763","https://openalex.org/W3019765183","https://openalex.org/W3037443854","https://openalex.org/W3037690895","https://openalex.org/W3083117722","https://openalex.org/W3104447232","https://openalex.org/W3108135996","https://openalex.org/W3126177685","https://openalex.org/W3151369719","https://openalex.org/W3199196622","https://openalex.org/W3207647021","https://openalex.org/W3213953114","https://openalex.org/W3216628913","https://openalex.org/W4210926942","https://openalex.org/W4226075964","https://openalex.org/W4226253236","https://openalex.org/W4312058197","https://openalex.org/W4318064903","https://openalex.org/W4323830114","https://openalex.org/W4367050554"],"related_works":["https://openalex.org/W2044787408","https://openalex.org/W4249228129","https://openalex.org/W2040820615","https://openalex.org/W2086585817","https://openalex.org/W155593081","https://openalex.org/W2738038633","https://openalex.org/W1506619710","https://openalex.org/W2052607948","https://openalex.org/W2019140719","https://openalex.org/W128458161"],"abstract_inverted_index":{"The":[0],"star-triangle":[1,33,53],"relation":[2],"plays":[3],"an":[4],"important":[5],"role":[6],"in":[7],"the":[8,32,52,71,74,96,139,150],"realm":[9],"of":[10,40,70,87,102,108],"exactly":[11],"solvable":[12],"models,":[13],"offering":[14],"exact":[15],"results":[16],"for":[17,46,83,144],"classical":[18],"two-dimensional":[19],"statistical":[20,47],"mechanical":[21,48],"models.":[22,66],"In":[23,138],"this":[24],"article,":[25],"we":[26,142],"construct":[27],"integrable":[28,64,80],"quantum":[29,81],"circuits":[30,103],"using":[31],"relation.":[34],"Our":[35],"construction":[36,97],"relies":[37],"on":[38,62,105],"families":[39,86],"mutually":[41],"commuting":[42],"two-parameter":[43],"transfer":[44,75],"matrices":[45,76],"models":[49],"solved":[50],"by":[51,98,122],"relation,":[54],"and":[55,126],"differs":[56],"from":[57],"previously":[58],"known":[59],"constructions":[60],"based":[61],"Yang-Baxter":[63],"vertex":[65],"At":[67],"special":[68],"value":[69],"spectral":[72],"parameter,":[73],"are":[77,133],"mapped":[78],"into":[79],"circuits,":[82,115,131],"which":[84,132],"infinite":[85],"local":[88],"conserved":[89],"charges":[90],"can":[91],"be":[92],"derived.":[93],"We":[94],"demonstrate":[95],"giving":[99],"two":[100],"examples":[101],"acting":[104],"a":[106,147],"chain":[107],"<mml:math":[109,112,127,145],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Q</mml:mi><mml:mo>&amp;#x2212;</mml:mo></mml:math>state":[110],"qudits:":[111],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Q</mml:mi></mml:math>-state":[113],"Potts":[114],"whose":[116],"integrability":[117],"has":[118],"been":[119],"conjectured":[120],"recently":[121],"Lotkov":[123],"et":[124],"al.,":[125],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow":[128],"class=\"MJX-TeXAtom-ORD\"><mml:mi":[129],"mathvariant=\"double-struck\">Z</mml:mi></mml:mrow><mml:mi>Q</mml:mi></mml:msub></mml:math>":[130],"novel":[134],"to":[135,149],"our":[136],"knowledge.":[137],"first":[140],"example,":[141],"present":[143],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:math>":[146],"connection":[148],"Zamolodchikov-Fateev":[151],"19-vertex":[152],"model.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}