{"id":"https://openalex.org/W3103950303","doi":"https://doi.org/10.22331/q-2021-07-13-503","title":"Routed quantum circuits","display_name":"Routed quantum circuits","publication_year":2021,"publication_date":"2021-07-13","ids":{"openalex":"https://openalex.org/W3103950303","doi":"https://doi.org/10.22331/q-2021-07-13-503","mag":"3103950303"},"language":"en","primary_location":{"id":"doi:10.22331/q-2021-07-13-503","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-07-13-503","pdf_url":"https://quantum-journal.org/papers/q-2021-07-13-503/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":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2021-07-13-503/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Augustin Vanrietvelde","orcid":"https://orcid.org/0000-0001-9022-8655"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["GB","HK"],"is_corresponding":true,"raw_author_name":"Augustin Vanrietvelde","raw_affiliation_strings":["Department of Physics, Imperial College London","HKU-Oxford Joint Laboratory for Quantum Information and Computation","Quantum Group, Department of Computer Science, University of Oxford"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Imperial College London","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"HKU-Oxford Joint Laboratory for Quantum Information and Computation","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Quantum Group, Department of Computer Science, University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hl\u00e9r Kristj\u00e1nsson","orcid":"https://orcid.org/0000-0003-4465-2863"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["GB","HK"],"is_corresponding":false,"raw_author_name":"Hl\u00e9r Kristj\u00e1nsson","raw_affiliation_strings":["HKU-Oxford Joint Laboratory for Quantum Information and Computation","Quantum Group, Department of Computer Science, University of Oxford"],"affiliations":[{"raw_affiliation_string":"HKU-Oxford Joint Laboratory for Quantum Information and Computation","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Quantum Group, Department of Computer Science, University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jonathan Barrett","orcid":"https://orcid.org/0000-0002-2222-0579"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jonathan Barrett","raw_affiliation_strings":["Quantum Group, Department of Computer Science, University of Oxford"],"affiliations":[{"raw_affiliation_string":"Quantum Group, Department of Computer Science, University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I40120149","https://openalex.org/I47508984","https://openalex.org/I889458895"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.6795,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.8651276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":null,"first_page":"503","last_page":"503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.7055000066757202,"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":0.7055000066757202,"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":0.03869999945163727,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.03290000185370445,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/diagrammatic-reasoning","display_name":"Diagrammatic reasoning","score":0.6177999973297119},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5924000144004822},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4844000041484833},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.483599990606308},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4796999990940094},{"id":"https://openalex.org/keywords/quantum-superposition","display_name":"Quantum superposition","score":0.4758000075817108},{"id":"https://openalex.org/keywords/quantum-circuit","display_name":"Quantum circuit","score":0.45100000500679016},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43950000405311584},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.399399995803833},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3763999938964844}],"concepts":[{"id":"https://openalex.org/C106624574","wikidata":"https://www.wikidata.org/wiki/Q5270387","display_name":"Diagrammatic reasoning","level":2,"score":0.6177999973297119},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5924000144004822},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.483599990606308},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4796999990940094},{"id":"https://openalex.org/C55615164","wikidata":"https://www.wikidata.org/wiki/Q830791","display_name":"Quantum superposition","level":3,"score":0.4758000075817108},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.45100000500679016},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4165000021457672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40799999237060547},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.399399995803833},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3763999938964844},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.36980000138282776},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.36169999837875366},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.3452000021934509},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.33180001378059387},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.329800009727478},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32120001316070557},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.3197000026702881},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.3172999918460846},{"id":"https://openalex.org/C105295557","wikidata":"https://www.wikidata.org/wiki/Q5051814","display_name":"Categorical quantum mechanics","level":5,"score":0.3156999945640564},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.31439998745918274},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3050000071525574},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2955000102519989},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.29409998655319214},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.28279998898506165},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2784000039100647},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.27799999713897705},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2678999900817871},{"id":"https://openalex.org/C169460222","wikidata":"https://www.wikidata.org/wiki/Q1206311","display_name":"Quantum logic","level":4,"score":0.26489999890327454},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2615000009536743},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2558000087738037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2556000053882599}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2021-07-13-503","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-07-13-503","pdf_url":"https://quantum-journal.org/papers/q-2021-07-13-503/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:2011.08120","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.08120","pdf_url":"https://arxiv.org/pdf/2011.08120","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04577393v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04577393","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, 2021, 5, pp.503. &#x27E8;10.22331/q-2021-07-13-503&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:e6f09a3ed2824325b318b0a9af947245","is_oa":true,"landing_page_url":"https://doaj.org/article/e6f09a3ed2824325b318b0a9af947245","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 5, p 503 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2021-07-13-503","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-07-13-503","pdf_url":"https://quantum-journal.org/papers/q-2021-07-13-503/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":[],"awards":[{"id":"https://openalex.org/G7106166540","display_name":"EPSRC Centre for Doctoral Training in Controlled Quantum Dynamics","funder_award_id":"EP/L016524/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7194833371","display_name":"DTP 2018-19 University of Oxford","funder_award_id":"EP/R513295/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8816911644","display_name":null,"funder_award_id":"61466","funder_id":"https://openalex.org/F4320306193","funder_display_name":"John Templeton Foundation"}],"funders":[{"id":"https://openalex.org/F4320306193","display_name":"John Templeton Foundation","ror":"https://ror.org/035tnyy05"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3103950303.pdf","grobid_xml":"https://content.openalex.org/works/W3103950303.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W186605099","https://openalex.org/W265607315","https://openalex.org/W1959048617","https://openalex.org/W1971160181","https://openalex.org/W1973799895","https://openalex.org/W1982928587","https://openalex.org/W2000786318","https://openalex.org/W2007536474","https://openalex.org/W2016148416","https://openalex.org/W2017964195","https://openalex.org/W2020726398","https://openalex.org/W2021696514","https://openalex.org/W2028406173","https://openalex.org/W2037750157","https://openalex.org/W2069974662","https://openalex.org/W2075809190","https://openalex.org/W2076084196","https://openalex.org/W2089342991","https://openalex.org/W2094146919","https://openalex.org/W2101088258","https://openalex.org/W2108092920","https://openalex.org/W2113152322","https://openalex.org/W2126550950","https://openalex.org/W2131369302","https://openalex.org/W2134719239","https://openalex.org/W2139625432","https://openalex.org/W2145761365","https://openalex.org/W2152744443","https://openalex.org/W2157754228","https://openalex.org/W2161316267","https://openalex.org/W2526522103","https://openalex.org/W2598985404","https://openalex.org/W2787148027","https://openalex.org/W2795691702","https://openalex.org/W2897253928","https://openalex.org/W2925123587","https://openalex.org/W2950993906","https://openalex.org/W2985868439","https://openalex.org/W2990961515","https://openalex.org/W2998447709","https://openalex.org/W3003541956","https://openalex.org/W3007025617","https://openalex.org/W3021457633","https://openalex.org/W3041900129","https://openalex.org/W3046137589","https://openalex.org/W3104361580","https://openalex.org/W4210262431","https://openalex.org/W4210839962","https://openalex.org/W4229769765"],"related_works":[],"abstract_inverted_index":{"We":[0,50,78,124],"argue":[1],"that":[2,80,126],"the":[3,18,28,31,56,113,119,130],"quantum-theoretical":[4],"structures":[5],"studied":[6],"in":[7,26,92,109],"several":[8,110],"recent":[9],"lines":[10],"of":[11,21,33,41,47,58,94,115,122,134],"research":[12],"cannot":[13],"be":[14],"adequately":[15],"described":[16,36],"within":[17],"standard":[19],"framework":[20,57,83,128],"quantum":[22,59,76,103,116],"circuits.":[23],"This":[24],"is":[25,35],"particular":[27],"case":[29],"whenever":[30],"combination":[32],"subsystems":[34],"by":[37,62],"a":[38,86,144,150],"nontrivial":[39],"blend":[40],"direct":[42],"sums":[43],"and":[44,70,88,101,105,118,136],"tensor":[45],"products":[46],"Hilbert":[48],"spaces.":[49],"therefore":[51],"propose":[52],"an":[53],"extension":[54],"to":[55,98],"circuits,":[60],"given":[61],"<mml:math":[63,71],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[64,72],"class=\"MJX-TeXAtom-ORD\"><mml:mtext":[65,73],"class=\"MJX-tex-mathit\"":[66,74],"mathvariant=\"italic\">routed":[67,75],"linear":[68],"maps</mml:mtext></mml:mrow></mml:math>":[69],"circuits</mml:mtext></mml:mrow></mml:math>.":[77],"prove":[79],"this":[81],"new":[82],"allows":[84],"for":[85],"consistent":[87],"intuitive":[89],"diagrammatic":[90],"representation":[91],"terms":[93],"circuit":[95,132],"diagrams,":[96],"applicable":[97],"both":[99],"pure":[100],"mixed":[102],"theory,":[104],"exemplify":[106],"its":[107],"use":[108],"situations,":[111],"including":[112],"superposition":[114],"channels":[117],"causal":[120],"decompositions":[121],"unitaries.":[123],"show":[125],"our":[127],"encompasses":[129],"`extended":[131],"diagrams'":[133],"Lorenz":[135],"Barrett":[137],"[arXiv:2001.07774":[138],"(2020)],":[139],"which":[140],"we":[141],"derive":[142],"as":[143],"special":[145],"case,":[146],"endowing":[147],"them":[148],"with":[149],"sound":[151],"semantics.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2020-11-23T00:00:00"}