{"id":"https://openalex.org/W7208732647","doi":"https://doi.org/10.48550/arxiv.2609.04182","title":"Quantum communication and Bell nonlocality require infinite classical communication to simulate","display_name":"Quantum communication and Bell nonlocality require infinite classical communication to simulate","publication_year":2026,"publication_date":"2026-09-03","ids":{"openalex":"https://openalex.org/W7208732647","doi":"https://doi.org/10.48550/arxiv.2609.04182"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.04182","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.04182","pdf_url":"https://arxiv.org/pdf/2609.04182","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.04182","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032796995","display_name":"Carlos de Gois","orcid":"https://orcid.org/0000-0001-9377-4168","observed_orcids":["https://orcid.org/0000-0001-9377-4168"]},"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210111960","display_name":"Centre de Physique Th\u00e9orique","ror":"https://ror.org/02bsd9p69","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210098836","https://openalex.org/I4210111960","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"de Gois, Carlos","raw_affiliation_strings":["CPHT , LIX , CNRS , Inria , \u00c9cole polytechnique , Institut Polytechnique de Paris , Palaiseau , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CPHT , LIX , CNRS , Inria , \u00c9cole polytechnique , Institut Polytechnique de Paris , Palaiseau , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210111960","https://openalex.org/I4210139461","https://openalex.org/I4210145102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5099774459","display_name":"Thyago S. R. Santos","orcid":"https://orcid.org/0000-0002-4393-7413","observed_orcids":["https://orcid.org/0000-0002-4393-7413"]},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Santos, Thyago S. R.","raw_affiliation_strings":["Instituto de Matem\u00e1tica , Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica , Universidade Estadual de Campinas , 13083-859 , Campinas , S\u00e3o Paulo , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica , Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica , Universidade Estadual de Campinas , 13083-859 , Campinas , S\u00e3o Paulo , Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5139917430","display_name":"Carlos Vieira","orcid":null,"observed_orcids":[]},"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/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]},{"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"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["BR","FR"],"is_corresponding":false,"raw_author_name":"Vieira, Carlos","raw_affiliation_strings":["Instituto de Matem\u00e1tica , Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica , Universidade Estadual de Campinas , 13083-859 , Campinas , S\u00e3o Paulo , Brazil","Sorbonne Universit\u00e9 , CNRS , LIP6 , F-75005 Paris , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica , Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica , Universidade Estadual de Campinas , 13083-859 , Campinas , S\u00e3o Paulo , Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9 , CNRS , LIP6 , F-75005 Paris , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159731"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.8500999808311462,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.8500999808311462,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.1453000009059906,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.0007999999797903001,"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/quantum-communication","display_name":"quantum communication","score":0.5870000123977661},{"id":"https://openalex.org/keywords/bell-nonlocality","display_name":"Bell nonlocality","score":0.9919999837875366},{"id":"https://openalex.org/keywords/classical-communication-cost","display_name":"classical communication cost","score":0.6010000109672546},{"id":"https://openalex.org/keywords/qubits","display_name":"qubits","score":0.527999997138977},{"id":"https://openalex.org/keywords/ququarts","display_name":"ququarts","score":0.777999997138977},{"id":"https://openalex.org/keywords/qutrits","display_name":"qutrits","score":0.9980000257492065},{"id":"https://openalex.org/keywords/entangled-states","display_name":"entangled states","score":0.5320000052452087},{"id":"https://openalex.org/keywords/shared-randomness","display_name":"shared randomness","score":0.671999990940094},{"id":"https://openalex.org/keywords/dimension-dependence","display_name":"dimension dependence","score":0.4090000092983246},{"id":"https://openalex.org/keywords/quantum-dimension","display_name":"quantum dimension","score":0.3160000145435333}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.620199978351593},{"id":"https://openalex.org/C138622882","wikidata":"https://www.wikidata.org/wiki/Q7269079","display_name":"Quantum nonlocality","level":4,"score":0.6064000129699707},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.4934999942779541},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48089998960494995},{"id":"https://openalex.org/C56085360","wikidata":"https://www.wikidata.org/wiki/Q2300171","display_name":"Qutrit","level":4,"score":0.4708000123500824},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.46299999952316284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4584999978542328},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4458000063896179},{"id":"https://openalex.org/C114671716","wikidata":"https://www.wikidata.org/wiki/Q17142987","display_name":"No-teleportation theorem","level":5,"score":0.4269999861717224},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.413100004196167},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.41110000014305115},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.41040000319480896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40959998965263367},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3977000117301941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38830000162124634},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38670000433921814},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.38040000200271606},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.36340001225471497},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.337799996137619},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.33660000562667847},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.32850000262260437},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32659998536109924},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.31540000438690186},{"id":"https://openalex.org/C12269588","wikidata":"https://www.wikidata.org/wiki/Q132364","display_name":"Communications protocol","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.30889999866485596},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.3009999990463257},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2948000133037567},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C187678412","wikidata":"https://www.wikidata.org/wiki/Q2042163","display_name":"Superdense coding","level":5,"score":0.28769999742507935},{"id":"https://openalex.org/C101765175","wikidata":"https://www.wikidata.org/wiki/Q577764","display_name":"Communications system","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.2736999988555908},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2703000009059906},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2687999904155731}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.04182","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.04182","pdf_url":"https://arxiv.org/pdf/2609.04182","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.2609.04182","doi":"https://doi.org/10.48550/arxiv.2609.04182","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.04182","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":"pmh:oai:arXiv.org:2609.04182","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.04182","pdf_url":"https://arxiv.org/pdf/2609.04182","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G172759620","display_name":null,"funder_award_id":"2025/01058-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G2770661476","display_name":null,"funder_award_id":"731473","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4178356252","display_name":null,"funder_award_id":"731473","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5384703096","display_name":"QuantERA ERA-NET Cofund in Quantum Technologies","funder_award_id":"731473","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5917528678","display_name":"QuantERA II ERA-NET Cofund in Quantum Technologies","funder_award_id":"101017733","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6319391972","display_name":"Non-classicality with a view towards applications in quantum technologies","funder_award_id":"24/16657-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G7080048889","display_name":null,"funder_award_id":"ANR-23","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8129929642","display_name":null,"funder_award_id":"2024/15587-1","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8220950257","display_name":"correLations In quaNtum networKs: from foundations to experimental protocolS","funder_award_id":"ANR-23-CE47-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7208732647.pdf","grobid_xml":"https://content.openalex.org/works/W7208732647.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W7133297064","https://openalex.org/W7140769110"],"related_works":["https://openalex.org/W1970293061","https://openalex.org/W2161205932","https://openalex.org/W2007587888","https://openalex.org/W2078345446","https://openalex.org/W7101074856","https://openalex.org/W993012751","https://openalex.org/W2143296885","https://openalex.org/W7222173183","https://openalex.org/W4415272528","https://openalex.org/W4391591331"],"abstract_inverted_index":{"A":[0],"quantum":[1,41,63,66,87,127,153],"system":[2,42],"of":[3,13,25,38,76,143,155,197],"any":[4],"fixed":[5],"dimension":[6,138],"can":[7,43,146],"be":[8,18,44],"prepared":[9],"in":[10,83],"a":[11,39,70,73],"continuum":[12],"states,":[14],"yet":[15],"it":[16,171],"cannot":[17,51],"used":[19],"to":[20,97,173],"transmit":[21,52],"an":[22,132,181],"unlimited":[23,161],"amount":[24,75,142],"classical":[26,47,77,91,144,191],"information.":[27,53],"Similarly,":[28],"the":[29,59,84,111,116],"correlations":[30,67,104,154,196],"observed":[31,61],"between":[32,105],"measurement":[33],"outcomes":[34],"on":[35],"separate":[36],"parts":[37],"shared":[40,162],"stronger":[45],"than":[46],"correlations,":[48],"but":[49],"they":[50],"These":[54],"fundamental":[55],"limitations":[56],"suggest":[57],"that":[58,184],"statistics":[60],"from":[62],"communication":[64,101,145,150,188],"and":[65,95,102,193],"may":[68],"admit":[69],"simulation":[71],"using":[72,189],"finite":[74,141],"communication.":[78],"This":[79],"expectation":[80],"is":[81],"confirmed":[82],"smallest":[85],"nontrivial":[86],"dimension,":[88],"with":[89,160],"two":[90,156,198],"bits":[92],"being":[93],"necessary":[94],"sufficient":[96],"exactly":[98,147,185],"simulate":[99,148],"qubit":[100],"all":[103,152,195],"qubits.":[106],"Despite":[107],"significant":[108],"efforts":[109],"during":[110],"previous":[112],"decades,":[113],"this":[114,168],"remained":[115],"only":[117],"solved":[118],"case.":[119],"Here":[120],"we":[121,179],"resolve":[122],"both":[123],"problems":[124],"for":[125,176],"every":[126],"dimension.":[128],"The":[129],"solution":[130],"reveals":[131],"unexpected":[133],"qualitative":[134],"transition":[135],"starting":[136],"at":[137],"four:":[139],"no":[140],"ququart":[149],"nor":[151],"entangled":[157,199],"ququarts,":[158],"even":[159],"randomness.":[163],"One":[164],"might":[165],"have":[166],"expected":[167],"transition,":[169],"if":[170],"existed,":[172],"appear":[174],"already":[175],"qutrits.":[177,200],"Instead,":[178],"construct":[180],"explicit":[182],"protocol":[183],"simulates":[186],"qutrit":[187],"$357$":[190],"bits,":[192],"consequently,":[194]},"counts_by_year":[{"year":2026,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-05T00:00:00"}