{"id":"https://openalex.org/W4403147142","doi":null,"title":"State polynomial optimization for nonlinear Bell inequalities","display_name":"State polynomial optimization for nonlinear Bell inequalities","publication_year":2024,"publication_date":"2024-07-29","ids":{"openalex":"https://openalex.org/W4403147142"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-04719283v1","doi":null,"is_oa":false,"landing_page_url":"https://laas.hal.science/hal-04719283","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.mis.mpg.de/events/series/mega-2024","raw_type":"info:eu-repo/semantics/conferenceObject"},"volume":null,"type":"conference-paper","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066095974","display_name":"Victor Magron","orcid":"https://orcid.org/0000-0003-1147-3738","observed_orcids":["https://orcid.org/0000-0003-1147-3738"]},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Magron, Victor","raw_affiliation_strings":["IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","LAAS-POP - Equipe Polynomial OPtimization (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I84500057"]},{"raw_affiliation_string":"LAAS-POP - Equipe Polynomial OPtimization (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066095974"],"corresponding_institution_ids":["https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I84500057"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.40268058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.45750001072883606,"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":0.45750001072883606,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.18950000405311584,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.12409999966621399,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/quantum-nonlocality","display_name":"quantum nonlocality","score":0.796999990940094},{"id":"https://openalex.org/keywords/bell-inequality-violation","display_name":"Bell inequality violation","score":0.4950000047683716},{"id":"https://openalex.org/keywords/quantum-state-optimization","display_name":"quantum state optimization","score":0.37400001287460327}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5366454124450684},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5265533924102783},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47752419114112854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4081403911113739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38117051124572754},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3612232506275177},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3313172459602356},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3264639377593994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18443849682807922},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1372116208076477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12730124592781067},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09864047169685364}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:HAL:hal-04719283v1","doi":null,"is_oa":false,"landing_page_url":"https://laas.hal.science/hal-04719283","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.mis.mpg.de/events/series/mega-2024","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4318751964","https://openalex.org/W4394622371","https://openalex.org/W3036938012","https://openalex.org/W2000320746","https://openalex.org/W4225772874","https://openalex.org/W7067904273","https://openalex.org/W4389261373","https://openalex.org/W7169504522","https://openalex.org/W251229954","https://openalex.org/W4405561908"],"abstract_inverted_index":{"This":[0,50],"talk":[1],"focuses":[2],"on":[3,145],"optimization":[4,64,72,109],"over":[5],"state":[6,44,48,57,107],"polynomials,":[7,66],"i.e.,":[8],"polynomials":[9],"in":[10,21,86,117],"noncommuting":[11],"variables":[12],"and":[13,26,67,133,154],"formal":[14],"states":[15],"of":[16,24,34,42,59,65,73,84,94,113,126,136],"their":[17],"products.An":[18],"archimedean":[19],"Positivstellensatz":[20],"the":[22,40,60,68,82,90,118,124,127,137,146],"spirit":[23],"Putinar":[25],"Helton-McCullough":[27],"is":[28,103,143],"presented":[29],"leading":[30],"to":[31,39,47],"a":[32,43,56,95,106],"hierarchy":[33,51,62],"semidefinite":[35,128],"relaxations":[36],"converging":[37],"monotonically":[38],"optimum":[41],"polynomial":[45,96,108],"subject":[46],"constraints.":[49],"can":[52],"be":[53],"seen":[54],"as":[55,105],"analog":[58],"Lasserre":[61],"for":[63,71,99],"Navascu\u00e9s-Pironio-Ac\u00edn":[69],"scheme":[70],"noncommutative":[74],"polynomials.The":[75],"motivation":[76],"behind":[77],"this":[78],"theory":[79],"arises":[80],"from":[81],"study":[83],"correlations":[85],"quantum":[87,92],"networks.":[88],"Determining":[89],"maximal":[91],"violation":[93],"Bell":[97,115],"inequality":[98],"an":[100],"arbitrary":[101],"network":[102],"reformulated":[104],"problem.":[110],"Several":[111],"examples":[112],"quadratic":[114],"inequalities":[116],"bipartite":[119],"scenario":[120],"are":[121,141],"analyzed.To":[122],"reduce":[123],"size":[125],"programs,":[129],"sparsity,":[130],"sign":[131],"symmetry":[132],"conditional":[134],"expectation":[135],"observables'":[138],"group":[139],"structure":[140],"exploited.This":[142],"based":[144],"joint":[147],"work":[148],"with":[149],"Igor":[150],"Klep,":[151],"Jurij":[152],"Vol\u010di\u010d,":[153],"Jie":[155],"Wang.":[156]},"counts_by_year":[],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2024-10-05T00:00:00"}
