{"id":"https://openalex.org/W2089463478","doi":"https://doi.org/10.1007/s11128-013-0547-3","title":"Distinguished three-qubit \u2018magicity\u2019 via automorphisms of the split Cayley hexagon","display_name":"Distinguished three-qubit \u2018magicity\u2019 via automorphisms of the split Cayley hexagon","publication_year":2013,"publication_date":"2013-02-23","ids":{"openalex":"https://openalex.org/W2089463478","doi":"https://doi.org/10.1007/s11128-013-0547-3","mag":"2089463478"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-013-0547-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-013-0547-3","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/1212.2729","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Michel Planat","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":"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"]},{"id":"https://openalex.org/I4210120525","display_name":"Institut UTINAM","ror":"https://ror.org/02h0g9r59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210120525","https://openalex.org/I4210148025","https://openalex.org/I4407990293"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Michel Planat","raw_affiliation_strings":["Institut FEMTO-ST, CNRS, 32 Avenue de l\u2019Observatoire, 25044 , Besan\u00e7on, France"],"affiliations":[{"raw_affiliation_string":"Institut FEMTO-ST, CNRS, 32 Avenue de l\u2019Observatoire, 25044 , Besan\u00e7on, France","institution_ids":["https://openalex.org/I2802759292","https://openalex.org/I4210120525","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Metod Saniga","orcid":null},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210136460","display_name":"Astronomical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/03t6cz096","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210136460"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Metod Saniga","raw_affiliation_strings":["Astronomical Institute, Slovak Academy of Sciences, 05960 , Tatransk\u00e1 Lomnica, Slovak Republic"],"affiliations":[{"raw_affiliation_string":"Astronomical Institute, Slovak Academy of Sciences, 05960 , Tatransk\u00e1 Lomnica, Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210136460"]}]},{"author_position":"last","author":{"id":null,"display_name":"Fr\u00e9d\u00e9ric Holweck","orcid":null},"institutions":[{"id":"https://openalex.org/I37553959","display_name":"Universit\u00e9 de technologie de belfort-montb\u00e9liard","ror":"https://ror.org/05bn3m307","country_code":"FR","type":"education","lineage":["https://openalex.org/I37553959"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Holweck","raw_affiliation_strings":["Laboratoire IRTES-M3M, Universit\u00e9 de Technologie de Belfort-Montb\u00e9liard, 90010 , Belfort, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire IRTES-M3M, Universit\u00e9 de Technologie de Belfort-Montb\u00e9liard, 90010 , Belfort, France","institution_ids":["https://openalex.org/I37553959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2802759292","https://openalex.org/I4210120525"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":1.6827,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.86102859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"7","first_page":"2535","last_page":"2549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.3596999943256378,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.3596999943256378,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.12839999794960022,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12504","display_name":"Mathematics and Applications","score":0.057999998331069946,"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/automorphism","display_name":"Automorphism","score":0.847599983215332},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.6489999890327454},{"id":"https://openalex.org/keywords/magic-square","display_name":"Magic square","score":0.5935999751091003},{"id":"https://openalex.org/keywords/magic","display_name":"MAGIC (telescope)","score":0.5109000205993652},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.4611000120639801},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.43959999084472656},{"id":"https://openalex.org/keywords/coxeter-group","display_name":"Coxeter group","score":0.43209999799728394},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.420199990272522}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.847599983215332},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6489999890327454},{"id":"https://openalex.org/C44201097","wikidata":"https://www.wikidata.org/wiki/Q192089","display_name":"Magic square","level":2,"score":0.5935999751091003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5428000092506409},{"id":"https://openalex.org/C2777704519","wikidata":"https://www.wikidata.org/wiki/Q45732","display_name":"MAGIC (telescope)","level":2,"score":0.5109000205993652},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47119998931884766},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.4611000120639801},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.43959999084472656},{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.43209999799728394},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.420199990272522},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41440001130104065},{"id":"https://openalex.org/C180347388","wikidata":"https://www.wikidata.org/wiki/Q336233","display_name":"Pauli matrices","level":2,"score":0.38580000400543213},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.3384000062942505},{"id":"https://openalex.org/C162619202","wikidata":"https://www.wikidata.org/wiki/Q4826703","display_name":"Automorphisms of the symmetric and alternating groups","level":3,"score":0.3273000121116638},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3255000114440918},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.3222000002861023},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29339998960494995},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.26930001378059387},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26910001039505005},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11128-013-0547-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-013-0547-3","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:1212.2729","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.2729","pdf_url":"https://arxiv.org/pdf/1212.2729","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-00763975v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00763975","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, 2013, 12, pp.2535-2549. ⟨10.1007/s11128-013-0547-3⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.2729","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.2729","pdf_url":"https://arxiv.org/pdf/1212.2729","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":20,"referenced_works":["https://openalex.org/W1554712600","https://openalex.org/W1987255931","https://openalex.org/W1995452518","https://openalex.org/W1999105597","https://openalex.org/W2029909822","https://openalex.org/W2056452336","https://openalex.org/W2084275789","https://openalex.org/W2084317836","https://openalex.org/W2089650694","https://openalex.org/W2094853909","https://openalex.org/W2122187744","https://openalex.org/W2123952118","https://openalex.org/W2130987441","https://openalex.org/W2137872339","https://openalex.org/W2147303243","https://openalex.org/W2154434103","https://openalex.org/W2165061061","https://openalex.org/W2170624461","https://openalex.org/W3037687804","https://openalex.org/W3192930211"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}