{"id":"https://openalex.org/W4383907604","doi":"https://doi.org/10.22331/q-2023-07-11-1054","title":"Quantum correlations on the no-signaling boundary: self-testing and more","display_name":"Quantum correlations on the no-signaling boundary: self-testing and more","publication_year":2023,"publication_date":"2023-07-11","ids":{"openalex":"https://openalex.org/W4383907604","doi":"https://doi.org/10.22331/q-2023-07-11-1054"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-07-11-1054","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-07-11-1054","pdf_url":"https://quantum-journal.org/papers/q-2023-07-11-1054/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-2023-07-11-1054/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001701624","display_name":"Kai-Siang Chen","orcid":"https://orcid.org/0000-0003-2016-5171"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kai-Siang Chen","raw_affiliation_strings":["Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047467489","display_name":"Gelo Noel M. Tabia","orcid":"https://orcid.org/0000-0001-7791-5194"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]},{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]},{"id":"https://openalex.org/I4403386790","display_name":"National Center for Theoretical Sciences, Physics Division","ror":"https://ror.org/02mh1d616","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Gelo Noel M. Tabia","raw_affiliation_strings":["Center for Quantum Technology, National Tsing Hua University, Hsinchu 300, Taiwan","Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Technology, National Tsing Hua University, Hsinchu 300, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072509277","display_name":"Chellasamy Jebarathinam","orcid":"https://orcid.org/0000-0003-2632-2174"},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL","TW"],"is_corresponding":false,"raw_author_name":"Jebarathinam Chellasamy","raw_affiliation_strings":["Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnik\u00f3w 32/46, 02-668 Warsaw, Poland","Department of Physics and Center for Quantum Information Science, National Cheng Kung University, Tainan 70101, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnik\u00f3w 32/46, 02-668 Warsaw, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I3019243323"]},{"raw_affiliation_string":"Department of Physics and Center for Quantum Information Science, National Cheng Kung University, Tainan 70101, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009696061","display_name":"Shiladitya Mal","orcid":"https://orcid.org/0000-0002-5866-442X"},"institutions":[{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]},{"id":"https://openalex.org/I4403386790","display_name":"National Center for Theoretical Sciences, Physics Division","ror":"https://ror.org/02mh1d616","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shiladitya Mal","raw_affiliation_strings":["Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088239405","display_name":"Jun-Yi Wu","orcid":"https://orcid.org/0000-0001-8843-9269"},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jun-Yi Wu","raw_affiliation_strings":["Department of Physics, Tamkang University, Tamsui, New Taipei 251301, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Tamkang University, Tamsui, New Taipei 251301, Taiwan","institution_ids":["https://openalex.org/I107470533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089779363","display_name":"Yeong-Cherng Liang","orcid":"https://orcid.org/0000-0002-2899-5842"},"institutions":[{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]},{"id":"https://openalex.org/I4403386790","display_name":"National Center for Theoretical Sciences, Physics Division","ror":"https://ror.org/02mh1d616","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yeong-Cherng Liang","raw_affiliation_strings":["Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"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":2.6741,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.902458,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"1054","last_page":"1054"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9995999932289124,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987000226974487,"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/quantum","display_name":"Quantum","score":0.4720906913280487},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.43633797764778137},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3506971597671509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3174562454223633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30449897050857544},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.21161213517189026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12749680876731873}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4720906913280487},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43633797764778137},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3506971597671509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3174562454223633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30449897050857544},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21161213517189026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12749680876731873}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2023-07-11-1054","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-07-11-1054","pdf_url":"https://quantum-journal.org/papers/q-2023-07-11-1054/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:tkuir.lib.tku.edu.tw:987654321/124803","is_oa":false,"landing_page_url":"https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/124803","pdf_url":null,"source":{"id":"https://openalex.org/S4406922698","display_name":"Tamkang University Institutional Repository (TKUIR)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:doaj.org/article:77dab06c7cc04255a1d9797e997555e1","is_oa":true,"landing_page_url":"https://doaj.org/article/77dab06c7cc04255a1d9797e997555e1","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 1054 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-07-11-1054","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-07-11-1054","pdf_url":"https://quantum-journal.org/papers/q-2023-07-11-1054/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":[],"awards":[{"id":"https://openalex.org/G6988952817","display_name":null,"funder_award_id":"TEAM/2017-4/31","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G7157911535","display_name":null,"funder_award_id":"First TEAM/2017-4/31","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321041","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784"},{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4383907604.pdf"},"referenced_works_count":99,"referenced_works":["https://openalex.org/W568639803","https://openalex.org/W1503002482","https://openalex.org/W1535011705","https://openalex.org/W1616015000","https://openalex.org/W1758846674","https://openalex.org/W1965318843","https://openalex.org/W1975208365","https://openalex.org/W1986769148","https://openalex.org/W1988174048","https://openalex.org/W1988371994","https://openalex.org/W1994085202","https://openalex.org/W1996952633","https://openalex.org/W1998660432","https://openalex.org/W2000920428","https://openalex.org/W2005863215","https://openalex.org/W2007420126","https://openalex.org/W2011208902","https://openalex.org/W2011824864","https://openalex.org/W2015914132","https://openalex.org/W2019322343","https://openalex.org/W2028815089","https://openalex.org/W2034407598","https://openalex.org/W2035549896","https://openalex.org/W2035776312","https://openalex.org/W2038828330","https://openalex.org/W2043212517","https://openalex.org/W2047270551","https://openalex.org/W2052476506","https://openalex.org/W2058302064","https://openalex.org/W2062292260","https://openalex.org/W2064672021","https://openalex.org/W2068044918","https://openalex.org/W2074119334","https://openalex.org/W2075063878","https://openalex.org/W2078020515","https://openalex.org/W2082730452","https://openalex.org/W2083927494","https://openalex.org/W2084600946","https://openalex.org/W2087431766","https://openalex.org/W2091785906","https://openalex.org/W2092314368","https://openalex.org/W2093708734","https://openalex.org/W2102039510","https://openalex.org/W2106843925","https://openalex.org/W2108732680","https://openalex.org/W2114382532","https://openalex.org/W2119210589","https://openalex.org/W2128006942","https://openalex.org/W2133153534","https://openalex.org/W2135830616","https://openalex.org/W2144820907","https://openalex.org/W2162178369","https://openalex.org/W2170178721","https://openalex.org/W2170624461","https://openalex.org/W2255045883","https://openalex.org/W2274578395","https://openalex.org/W2327826370","https://openalex.org/W2344582723","https://openalex.org/W2467271240","https://openalex.org/W2469551075","https://openalex.org/W2605097622","https://openalex.org/W2613903324","https://openalex.org/W2780547352","https://openalex.org/W2786058174","https://openalex.org/W2786955061","https://openalex.org/W2790786284","https://openalex.org/W2886058116","https://openalex.org/W2890574080","https://openalex.org/W2911017638","https://openalex.org/W2914588511","https://openalex.org/W2921176578","https://openalex.org/W2937049977","https://openalex.org/W2942051472","https://openalex.org/W2950628286","https://openalex.org/W2951000560","https://openalex.org/W2951124766","https://openalex.org/W2952342357","https://openalex.org/W2969355851","https://openalex.org/W2979174588","https://openalex.org/W2982742540","https://openalex.org/W2991858054","https://openalex.org/W3040951075","https://openalex.org/W3099139166","https://openalex.org/W3100973418","https://openalex.org/W3101568932","https://openalex.org/W3102039834","https://openalex.org/W3102621335","https://openalex.org/W3104889988","https://openalex.org/W3138307241","https://openalex.org/W3163518880","https://openalex.org/W3181791356","https://openalex.org/W3204249899","https://openalex.org/W3212013752","https://openalex.org/W4211058570","https://openalex.org/W4226366292","https://openalex.org/W4250589301","https://openalex.org/W4281737969","https://openalex.org/W4283321522","https://openalex.org/W4289363156"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":{"In":[0,80,250],"device-independent":[1],"quantum":[2,34,53,68,103,201],"information,":[3],"correlations":[4,31,144,180,202,223],"between":[5,38],"local":[6],"measurement":[7],"outcomes":[8],"observed":[9],"by":[10,260],"spatially":[11],"separated":[12],"parties":[13],"in":[14,33,75,116,230],"a":[15,19,96,153,171,244,267],"Bell":[16,78,233,245,257],"test":[17],"play":[18],"fundamental":[20],"role.":[21],"Even":[22],"though":[23],"it":[24],"is":[25,114,209],"long-known":[26],"that":[27,112,221],"the":[28,39,43,49,52,60,64,67,72,76,121,132,159,183,193,231,254,271],"set":[29,41,54,69,74,194],"of":[30,51,62,66,85,102,124,134,139,142,147,155,200,224,240,273],"allowed":[32],"theory":[35],"lies":[36],"strictly":[37],"Bell-local":[40],"and":[42,127,247,266],"no-signaling":[44,73,184],"set,":[45],"many":[46],"questions":[47],"concerning":[48],"geometry":[50],"remain":[55],"unanswered.":[56],"Here,":[57],"we":[58,94,219,252],"revisit":[59],"problem":[61],"when":[63],"boundary":[65,185],"coincides":[70],"with":[71],"simplest":[77,232],"scenario.":[79],"particular,":[81],"for":[82,192],"each":[83],"Class":[84],"these":[86,106,135,148,178],"common":[87],"boundaries":[88],"containing":[89],"<mml:math":[90,97,195,225],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>k</mml:mi></mml:math>":[91],"zero":[92],"probabilities,":[93],"provide":[95,128],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mo":[98],"stretchy=\"false\">(</mml:mo><mml:mn>5</mml:mn><mml:mo>&amp;#x2212;</mml:mo><mml:mi>k</mml:mi><mml:mo":[99],"stretchy=\"false\">)</mml:mo></mml:math>-parameter":[100],"family":[101],"strategies":[104,161],"realizing":[105],"(extremal)":[107],"correlations.":[108],"We":[109],"further":[110],"prove":[111],"self-testing":[113,136,143,172,179,272],"possible":[115],"all":[117,177,222],"nontrivial":[118],"Classes":[119,149],"beyond":[120],"known":[122],"examples":[123],"Hardy-type":[125],"correlations,":[126],"numerical":[129],"evidence":[130],"supporting":[131],"robustness":[133],"results.":[137],"Candidates":[138],"one-parameter":[140],"families":[141],"from":[145,204],"some":[146],"are":[150,168,186,235],"identified.":[151],"As":[152],"byproduct":[154],"our":[156],"investigation,":[157],"if":[158],"qubit":[160],"leading":[162],"to":[163,214],"an":[164],"extremal":[165],"nonlocal":[166],"correlation":[167],"local-unitarily":[169],"equivalent,":[170],"statement":[173],"provably":[174,187],"follows.":[175],"Interestingly,":[176],"found":[181],"on":[182],"non-exposed.":[188],"An":[189],"analogous":[190],"characterization":[191],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[196,226],"class=\"MJX-TeXAtom-ORD\"><mml:mi":[197,227],"class=\"MJX-tex-caligraphic\"":[198,228],"mathvariant=\"script\">M</mml:mi></mml:mrow></mml:math>":[199,229],"arising":[203],"finite-dimensional":[205],"maximally":[206,262],"entangled":[207,263],"states":[208],"also":[210],"provided.":[211],"En":[212],"route":[213],"establishing":[215],"this":[216],"last":[217],"result,":[218],"show":[220],"scenario":[234],"attainable":[236],"as":[237],"convex":[238],"combinations":[239],"those":[241],"achievable":[242],"using":[243],"pair":[246],"projective":[248],"measurements.":[249],"turn,":[251],"obtain":[253],"maximal":[255],"Clauser-Horne-Shimony-Holt":[256],"inequality":[258],"violation":[259],"any":[261],"two-qudit":[264],"state":[265],"no-go":[268],"theorem":[269],"regarding":[270],"such":[274],"states.":[275]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
