{"id":"https://openalex.org/W2014046846","doi":"https://doi.org/10.1007/s11128-010-0223-9","title":"An analytic approach to the problem of separability of quantum states based upon the theory of cones","display_name":"An analytic approach to the problem of separability of quantum states based upon the theory of cones","publication_year":2010,"publication_date":"2010-12-24","ids":{"openalex":"https://openalex.org/W2014046846","doi":"https://doi.org/10.1007/s11128-010-0223-9","mag":"2014046846"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-010-0223-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-010-0223-9","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10651/6901","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046823165","display_name":"David Cienfuegos Salgado","orcid":"https://orcid.org/0000-0003-3630-3217"},"institutions":[{"id":"https://openalex.org/I3020445194","display_name":"Universidad Nebrija","ror":"https://ror.org/03tzyrt94","country_code":"ES","type":"education","lineage":["https://openalex.org/I3020445194"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"D. Salgado","raw_affiliation_strings":["D.G. Metodolog\u00eda, Calidad y Tecnolog\u00edas de la Informaci\u00f3n y las Comunicaciones, Insto. Nacional de Estad\u00edstica, 28071, Madrid, Spain","Dpto. Ingenier\u00eda Inform\u00e1tica, Universidad Antonio de Nebrija, 28040, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D.G. Metodolog\u00eda, Calidad y Tecnolog\u00edas de la Informaci\u00f3n y las Comunicaciones, Insto. Nacional de Estad\u00edstica, 28071, Madrid, Spain","institution_ids":[]},{"raw_affiliation_string":"Dpto. Ingenier\u00eda Inform\u00e1tica, Universidad Antonio de Nebrija, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I3020445194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113516008","display_name":"J. L. S\u00e1nchez\u2010G\u00f3mez","orcid":null},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. L. S\u00e1nchez-G\u00f3mez","raw_affiliation_strings":["Dpto. F\u00edsica Te\u00f3rica, Universidad Aut\u00f3noma de Madrid, 28049, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. F\u00edsica Te\u00f3rica, Universidad Aut\u00f3noma de Madrid, 28049, Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015350201","display_name":"Miguel Ferrero","orcid":"https://orcid.org/0000-0002-9025-4535"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Ferrero","raw_affiliation_strings":["Dpto. F\u00edsica, Universidad de Oviedo, 33007, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. F\u00edsica, Universidad de Oviedo, 33007, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046823165"],"corresponding_institution_ids":["https://openalex.org/I3020445194"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08843681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"5","first_page":"633","last_page":"651"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":1.0,"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/T10020","display_name":"Quantum Information and Cryptography","score":1.0,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9997000098228455,"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":0.9994999766349792,"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/multipartite","display_name":"Multipartite","score":0.7819319367408752},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7097508907318115},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7068793177604675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.699313759803772},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6960652470588684},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6571139097213745},{"id":"https://openalex.org/keywords/locc","display_name":"LOCC","score":0.6086515188217163},{"id":"https://openalex.org/keywords/multipartite-entanglement","display_name":"Multipartite entanglement","score":0.6074812412261963},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6060681939125061},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5388336777687073},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5255519151687622},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.5004045963287354},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48311710357666016},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47636982798576355},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.473076194524765},{"id":"https://openalex.org/keywords/separable-state","display_name":"Separable state","score":0.47306859493255615},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4556139409542084},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40636682510375977},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3749619126319885},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.30182668566703796},{"id":"https://openalex.org/keywords/squashed-entanglement","display_name":"Squashed entanglement","score":0.2078951597213745},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20234546065330505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1725817620754242},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13740476965904236},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1231236457824707},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12042060494422913},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05609574913978577}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.7819319367408752},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7097508907318115},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7068793177604675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.699313759803772},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6960652470588684},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6571139097213745},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.6086515188217163},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.6074812412261963},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6060681939125061},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5388336777687073},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5255519151687622},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.5004045963287354},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48311710357666016},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47636982798576355},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.473076194524765},{"id":"https://openalex.org/C55795843","wikidata":"https://www.wikidata.org/wiki/Q614178","display_name":"Separable state","level":5,"score":0.47306859493255615},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4556139409542084},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40636682510375977},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3749619126319885},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.30182668566703796},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.2078951597213745},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20234546065330505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1725817620754242},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13740476965904236},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1231236457824707},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12042060494422913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05609574913978577},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11128-010-0223-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-010-0223-9","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:digibuo.uniovi.es:10651/6901","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/6901","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOK","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:digibuo.uniovi.es:10651/6901","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/6901","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOK","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W24931029","https://openalex.org/W656181312","https://openalex.org/W1488435683","https://openalex.org/W1519530038","https://openalex.org/W1631356911","https://openalex.org/W1847580993","https://openalex.org/W1963952399","https://openalex.org/W1974655681","https://openalex.org/W1974928788","https://openalex.org/W1977271127","https://openalex.org/W1986941018","https://openalex.org/W1994369874","https://openalex.org/W1995866307","https://openalex.org/W2000572113","https://openalex.org/W2007264979","https://openalex.org/W2016990905","https://openalex.org/W2017156903","https://openalex.org/W2020657597","https://openalex.org/W2023010641","https://openalex.org/W2023531040","https://openalex.org/W2034920898","https://openalex.org/W2039088196","https://openalex.org/W2040794877","https://openalex.org/W2044630019","https://openalex.org/W2048125522","https://openalex.org/W2048648826","https://openalex.org/W2061542597","https://openalex.org/W2062292260","https://openalex.org/W2063693490","https://openalex.org/W2071394131","https://openalex.org/W2084681714","https://openalex.org/W2093901287","https://openalex.org/W2094271988","https://openalex.org/W2103713333","https://openalex.org/W2144126354","https://openalex.org/W2171823766","https://openalex.org/W2593347999","https://openalex.org/W2764347725","https://openalex.org/W2911933016","https://openalex.org/W2950703381","https://openalex.org/W3037737784","https://openalex.org/W3038000163","https://openalex.org/W3098178014","https://openalex.org/W3100546299","https://openalex.org/W3106104359","https://openalex.org/W3121713123","https://openalex.org/W3122850579"],"related_works":["https://openalex.org/W2884328367","https://openalex.org/W3198607245","https://openalex.org/W2046373973","https://openalex.org/W4384112152","https://openalex.org/W4388127799","https://openalex.org/W2810999005","https://openalex.org/W1641068467","https://openalex.org/W2982528324","https://openalex.org/W2115183721","https://openalex.org/W1679012835"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2016-06-24T00:00:00"}