{"id":"https://openalex.org/W4377288815","doi":"https://doi.org/10.22331/q-2023-05-22-1009","title":"Simplicial quantum contextuality","display_name":"Simplicial quantum contextuality","publication_year":2023,"publication_date":"2023-05-22","ids":{"openalex":"https://openalex.org/W4377288815","doi":"https://doi.org/10.22331/q-2023-05-22-1009"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-05-22-1009","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-05-22-1009","pdf_url":"https://quantum-journal.org/papers/q-2023-05-22-1009/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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2023-05-22-1009/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011282980","display_name":"Cihan Okay","orcid":"https://orcid.org/0000-0001-8097-5227"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Cihan Okay","raw_affiliation_strings":["Department of Mathematics, Bilkent University, Ankara, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8097-5227","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079461898","display_name":"Aziz Kharoof","orcid":"https://orcid.org/0000-0002-4010-6526"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Aziz Kharoof","raw_affiliation_strings":["Department of Mathematics, Bilkent University, Ankara, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-4010-6526","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087138463","display_name":"Selman Ipek","orcid":"https://orcid.org/0000-0002-4475-4221"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Selman Ipek","raw_affiliation_strings":["Department of Mathematics, Bilkent University, Ankara, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-4475-4221","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":1.9101,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85352278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"1009","last_page":"1009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9973999857902527,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9973999857902527,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10778","display_name":"Philosophy and History of Science","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kochen\u2013specker-theorem","display_name":"Kochen\u2013Specker theorem","score":0.9022760391235352},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.7158175706863403},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6654009819030762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6605364084243774},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.6042933464050293},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5542975068092346},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48610877990722656},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43963387608528137},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.4191693365573883},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4075549244880676},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3391183018684387},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.3068423867225647},{"id":"https://openalex.org/keywords/homotopy-category","display_name":"Homotopy category","score":0.2116675078868866},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11318576335906982},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10039111971855164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0874062180519104}],"concepts":[{"id":"https://openalex.org/C193588502","wikidata":"https://www.wikidata.org/wiki/Q528955","display_name":"Kochen\u2013Specker theorem","level":3,"score":0.9022760391235352},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.7158175706863403},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6654009819030762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6605364084243774},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.6042933464050293},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5542975068092346},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48610877990722656},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43963387608528137},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.4191693365573883},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4075549244880676},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3391183018684387},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.3068423867225647},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.2116675078868866},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11318576335906982},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10039111971855164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0874062180519104},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2023-05-22-1009","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-05-22-1009","pdf_url":"https://quantum-journal.org/papers/q-2023-05-22-1009/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:doaj.org/article:0e97e1c5bad84923872821aea810afed","is_oa":true,"landing_page_url":"https://doaj.org/article/0e97e1c5bad84923872821aea810afed","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 1009 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-05-22-1009","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-05-22-1009","pdf_url":"https://quantum-journal.org/papers/q-2023-05-22-1009/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/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G5854263488","display_name":null,"funder_award_id":"FA9550-21-1-0002","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4377288815.pdf"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1530632394","https://openalex.org/W1977673587","https://openalex.org/W1986407511","https://openalex.org/W1998660432","https://openalex.org/W2028699181","https://openalex.org/W2028815089","https://openalex.org/W2032407110","https://openalex.org/W2039772562","https://openalex.org/W2039871263","https://openalex.org/W2040794877","https://openalex.org/W2043508110","https://openalex.org/W2045220263","https://openalex.org/W2065192689","https://openalex.org/W2070217890","https://openalex.org/W2078783145","https://openalex.org/W2091785906","https://openalex.org/W2093708734","https://openalex.org/W2113123008","https://openalex.org/W2119210589","https://openalex.org/W2122187744","https://openalex.org/W2135830616","https://openalex.org/W2144449223","https://openalex.org/W2153612510","https://openalex.org/W2170624461","https://openalex.org/W2605471075","https://openalex.org/W2617402400","https://openalex.org/W2788407327","https://openalex.org/W2796390524","https://openalex.org/W2804172638","https://openalex.org/W2924828386","https://openalex.org/W2951124766","https://openalex.org/W2951397813","https://openalex.org/W2952735011","https://openalex.org/W2963629539","https://openalex.org/W2964034213","https://openalex.org/W2965181344","https://openalex.org/W2974611848","https://openalex.org/W2982374713","https://openalex.org/W3021605728","https://openalex.org/W3101253326","https://openalex.org/W3103308666","https://openalex.org/W3106204054","https://openalex.org/W3106212751","https://openalex.org/W3129346655","https://openalex.org/W3141871949","https://openalex.org/W4211058570","https://openalex.org/W4236206924","https://openalex.org/W4244912491","https://openalex.org/W4287202455","https://openalex.org/W4294240421","https://openalex.org/W4294299777","https://openalex.org/W4295537069","https://openalex.org/W4298279907","https://openalex.org/W4301011541","https://openalex.org/W4307006197","https://openalex.org/W4308028254","https://openalex.org/W4377862904","https://openalex.org/W4380352139"],"related_works":["https://openalex.org/W2011162705","https://openalex.org/W2133717328","https://openalex.org/W2070506592","https://openalex.org/W2099096594","https://openalex.org/W2091443768","https://openalex.org/W4384112204","https://openalex.org/W2073698623","https://openalex.org/W2347689336","https://openalex.org/W2738179514","https://openalex.org/W3184145583"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,18,63],"new":[3,66,129],"framework":[4],"for":[5,71,82],"contextuality":[6,78],"based":[7],"on":[8,52],"simplicial":[9,47,56,83],"sets,":[10],"combinatorial":[11],"models":[12],"of":[13,32,37,68,107,112],"topological":[14,95],"spaces":[15,33,53],"that":[16,91],"play":[17],"prominent":[19],"role":[20],"in":[21,74],"modern":[22],"homotopy":[23],"theory.":[24],"Our":[25],"approach":[26],"extends":[27],"measurement":[28],"scenarios":[29],"to":[30,46,87,98,104],"consist":[31],"(rather":[34],"than":[35],"sets)":[36],"measurements":[38],"and":[39,41,120],"outcomes,":[40],"thereby":[42],"generalizes":[43],"nonsignaling":[44],"distributions":[45,51],"distributions,":[48,84],"which":[49],"are":[50],"modeled":[54],"by":[55],"sets.":[57],"Using":[58],"this":[59,128],"formalism":[60],"we":[61],"present":[62],"topologically":[64],"inspired":[65],"proof":[67],"Fine's":[69],"theorem":[70,119,122],"characterizing":[72],"noncontextuality":[73],"Bell":[75],"scenarios.":[76],"Strong":[77],"is":[79],"generalized":[80],"suitably":[81],"allowing":[85],"us":[86],"define":[88],"cohomological":[89],"witnesses":[90],"extend":[92],"the":[93,105,117],"earlier":[94],"constructions":[96],"restricted":[97],"algebraic":[99],"relations":[100],"among":[101],"quantum":[102,113],"observables":[103],"level":[106],"probability":[108],"distributions.":[109],"Foundational":[110],"theorems":[111],"theory":[114],"such":[115],"as":[116],"Gleason's":[118],"Kochen--Specker":[121],"can":[123],"be":[124],"expressed":[125],"naturally":[126],"within":[127],"language.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}