{"id":"https://openalex.org/W2130858090","doi":"https://doi.org/10.1007/s11128-015-1004-2","title":"Geometry of contextuality from Grothendieck\u2019s coset space","display_name":"Geometry of contextuality from Grothendieck\u2019s coset space","publication_year":2015,"publication_date":"2015-05-04","ids":{"openalex":"https://openalex.org/W2130858090","doi":"https://doi.org/10.1007/s11128-015-1004-2","mag":"2130858090"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-015-1004-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-015-1004-2","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1411.7704","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014291916","display_name":"Michel Planat","orcid":"https://orcid.org/0000-0001-5739-546X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2802759292","display_name":"Franche-Comt\u00e9 \u00c9lectronique M\u00e9canique Thermique et Optique - Sciences et Technologies","ror":"https://ror.org/004fmxv66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2802759292","https://openalex.org/I37553959","https://openalex.org/I4210095849","https://openalex.org/I4407990293","https://openalex.org/I53262699"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Michel Planat","raw_affiliation_strings":["CNRS, Institut FEMTO-ST, 15 B Avenue des Montboucons, 25044, Besan\u00e7on, France","CNRS, Institut FEMTO-ST, Besan\u00e7on, France 25044#TAB#"],"affiliations":[{"raw_affiliation_string":"CNRS, Institut FEMTO-ST, 15 B Avenue des Montboucons, 25044, Besan\u00e7on, France","institution_ids":["https://openalex.org/I2802759292","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Institut FEMTO-ST, Besan\u00e7on, France 25044#TAB#","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014291916"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2802759292"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":2.6108,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90171527,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"7","first_page":"2563","last_page":"2575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9984999895095825,"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":0.9984999895095825,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/commutator","display_name":"Commutator","score":0.7092480659484863},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6214137077331543},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.5766260027885437},{"id":"https://openalex.org/keywords/kochen\u2013specker-theorem","display_name":"Kochen\u2013Specker theorem","score":0.5194125175476074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48368555307388306},{"id":"https://openalex.org/keywords/pauli-matrices","display_name":"Pauli matrices","score":0.41364485025405884},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4070546329021454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3992479145526886},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.38790997862815857},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3710636496543884},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36835312843322754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36738067865371704},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3203336000442505},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.12680324912071228}],"concepts":[{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.7092480659484863},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6214137077331543},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.5766260027885437},{"id":"https://openalex.org/C193588502","wikidata":"https://www.wikidata.org/wiki/Q528955","display_name":"Kochen\u2013Specker theorem","level":3,"score":0.5194125175476074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48368555307388306},{"id":"https://openalex.org/C180347388","wikidata":"https://www.wikidata.org/wiki/Q336233","display_name":"Pauli matrices","level":2,"score":0.41364485025405884},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4070546329021454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3992479145526886},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.38790997862815857},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3710636496543884},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36835312843322754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36738067865371704},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3203336000442505},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.12680324912071228},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11128-015-1004-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-015-1004-2","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1411.7704","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.7704","pdf_url":"https://arxiv.org/pdf/1411.7704","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-01088234v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01088234","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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 Information Processing, 2015, 14 (7), pp.2563-2575. ⟨10.1007/s11128-015-1004-2⟩","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-02868334v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02868334","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum Information Processing","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1411.7704","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1411.7704","pdf_url":"https://arxiv.org/pdf/1411.7704","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W225882358","https://openalex.org/W917757125","https://openalex.org/W1516318957","https://openalex.org/W1524594384","https://openalex.org/W1585244820","https://openalex.org/W1696253216","https://openalex.org/W1971698805","https://openalex.org/W1972550776","https://openalex.org/W1973935111","https://openalex.org/W1999105597","https://openalex.org/W2018747958","https://openalex.org/W2038129354","https://openalex.org/W2039871263","https://openalex.org/W2060397425","https://openalex.org/W2085406885","https://openalex.org/W2089463478","https://openalex.org/W2103154631","https://openalex.org/W2121665033","https://openalex.org/W2122187744","https://openalex.org/W2123467793","https://openalex.org/W2123952118","https://openalex.org/W2140912229","https://openalex.org/W2144449223","https://openalex.org/W2165061061","https://openalex.org/W3016094637","https://openalex.org/W3037619526","https://openalex.org/W3100996493","https://openalex.org/W3101271846","https://openalex.org/W3103048972","https://openalex.org/W3104041080","https://openalex.org/W3104448019","https://openalex.org/W3105321460","https://openalex.org/W4238804566","https://openalex.org/W6814941904"],"related_works":["https://openalex.org/W4313265376","https://openalex.org/W2269253281","https://openalex.org/W2981970099","https://openalex.org/W4288090650","https://openalex.org/W1557624689","https://openalex.org/W3132834219","https://openalex.org/W2599673288","https://openalex.org/W2225186138","https://openalex.org/W2962796288","https://openalex.org/W4281249590"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}