{"id":"https://openalex.org/W4415621046","doi":"https://doi.org/10.22331/q-2025-10-28-1894","title":"Quantum bounds for compiled XOR games and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>d</mml:mi> </mml:math> -outcome CHSH games","display_name":"Quantum bounds for compiled XOR games and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>d</mml:mi> </mml:math> -outcome CHSH games","publication_year":2025,"publication_date":"2025-10-28","ids":{"openalex":"https://openalex.org/W4415621046","doi":"https://doi.org/10.22331/q-2025-10-28-1894"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-10-28-1894","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-10-28-1894","pdf_url":"https://quantum-journal.org/papers/q-2025-10-28-1894/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-2025-10-28-1894/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114813250","display_name":"Matilde Baroni","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":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matilde Baroni","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044484697","display_name":"Quoc-Huy Vu","orcid":"https://orcid.org/0009-0000-4916-6798"},"institutions":[{"id":"https://openalex.org/I4210123827","display_name":"Vinci (France)","ror":"https://ror.org/03e278q38","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210123827"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Quoc-Huy Vu","raw_affiliation_strings":["De Vinci Higher Education, De Vinci Research Center, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De Vinci Higher Education, De Vinci Research Center, Paris, France","institution_ids":["https://openalex.org/I4210123827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022465639","display_name":"Boris Bourdoncle","orcid":"https://orcid.org/0000-0002-2686-833X"},"institutions":[{"id":"https://openalex.org/I4210118495","display_name":"Quandela (France)","ror":"https://ror.org/01yjzw780","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210118495"]},{"id":"https://openalex.org/I4210123827","display_name":"Vinci (France)","ror":"https://ror.org/03e278q38","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210123827"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Boris Bourdoncle","raw_affiliation_strings":["Quandela, 7 Rue L\u00e9onard de Vinci, 91300 Massy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quandela, 7 Rue L\u00e9onard de Vinci, 91300 Massy, France","institution_ids":["https://openalex.org/I4210118495","https://openalex.org/I4210123827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045869985","display_name":"Eleni Diamanti","orcid":"https://orcid.org/0000-0003-1795-5711"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eleni Diamanti","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001833285","display_name":"Damian Markham","orcid":"https://orcid.org/0000-0003-3111-7976"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damian Markham","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030432248","display_name":"Ivan \u0160upi\u0107","orcid":"https://orcid.org/0000-0002-0361-6631"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ivan \u0160upi\u0107","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, LIP6, 4 place Jussieu, 75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"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":1.7943,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86427188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"1894","last_page":"1894"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.7850000262260437,"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":0.7850000262260437,"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":0.148499995470047,"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":0.03610000014305115,"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/generalization","display_name":"Generalization","score":0.6241999864578247},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4961000084877014},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4796999990940094},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.4684999883174896},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4681999981403351},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.4472000002861023},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.4359999895095825},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4147999882698059}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6241999864578247},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4961000084877014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4902999997138977},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4880000054836273},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4796999990940094},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4684999883174896},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4681999981403351},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.4472000002861023},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.4359999895095825},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4147999882698059},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40070000290870667},{"id":"https://openalex.org/C147323434","wikidata":"https://www.wikidata.org/wiki/Q7269086","display_name":"Quantum pseudo-telepathy","level":5,"score":0.38839998841285706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3682999908924103},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3012000024318695},{"id":"https://openalex.org/C134765980","wikidata":"https://www.wikidata.org/wiki/Q879126","display_name":"Bitwise operation","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.29109999537467957},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.28619998693466187},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.2797999978065491},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.27079999446868896},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2547999918460846}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2025-10-28-1894","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-10-28-1894","pdf_url":"https://quantum-journal.org/papers/q-2025-10-28-1894/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:HAL:hal-04803631v1","is_oa":false,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-04803631","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, 2025, 9, pp.1894. &#x27E8;10.22331/q-2025-10-28-1894&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:96cc7c23efd7435ca5e4ebf391797fa1","is_oa":true,"landing_page_url":"https://doaj.org/article/96cc7c23efd7435ca5e4ebf391797fa1","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 9, p 1894 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-10-28-1894","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-10-28-1894","pdf_url":"https://quantum-journal.org/papers/q-2025-10-28-1894/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/G2191957979","display_name":null,"funder_award_id":"ANR-22-PETQ-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2660189613","display_name":null,"funder_award_id":"ANR-22-CMAS-0001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6034653167","display_name":null,"funder_award_id":"101135288","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6251103608","display_name":null,"funder_award_id":"101114043","funder_id":"https://openalex.org/F4320334322","funder_display_name":"HORIZON EUROPE Framework Programme"},{"id":"https://openalex.org/G6612625481","display_name":null,"funder_award_id":"France 2030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8827505550","display_name":null,"funder_award_id":"101114043","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415621046.pdf","grobid_xml":"https://content.openalex.org/works/W4415621046.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W1510433903","https://openalex.org/W1548245840","https://openalex.org/W1571022064","https://openalex.org/W1973948469","https://openalex.org/W1976687608","https://openalex.org/W1992282993","https://openalex.org/W2012287288","https://openalex.org/W2015914132","https://openalex.org/W2023675273","https://openalex.org/W2028699181","https://openalex.org/W2028815089","https://openalex.org/W2031533839","https://openalex.org/W2048118641","https://openalex.org/W2058302064","https://openalex.org/W2058831854","https://openalex.org/W2091785906","https://openalex.org/W2092122971","https://openalex.org/W2102039510","https://openalex.org/W2120979175","https://openalex.org/W2135830616","https://openalex.org/W2148634692","https://openalex.org/W2152926062","https://openalex.org/W2160819312","https://openalex.org/W2162381006","https://openalex.org/W2165281529","https://openalex.org/W2320758549","https://openalex.org/W2560581185","https://openalex.org/W2573616019","https://openalex.org/W2595817309","https://openalex.org/W2739431092","https://openalex.org/W2785593271","https://openalex.org/W2805612073","https://openalex.org/W2807358685","https://openalex.org/W2835953489","https://openalex.org/W2942051472","https://openalex.org/W2951913157","https://openalex.org/W2962912624","https://openalex.org/W2962977579","https://openalex.org/W2963589292","https://openalex.org/W2968512659","https://openalex.org/W2991858054","https://openalex.org/W3207462177","https://openalex.org/W3212013752","https://openalex.org/W4210830352","https://openalex.org/W4211058570","https://openalex.org/W4232836212","https://openalex.org/W4256317935","https://openalex.org/W4376639566","https://openalex.org/W4385654039","https://openalex.org/W4390097995","https://openalex.org/W4396580173","https://openalex.org/W4398223435","https://openalex.org/W4404848745","https://openalex.org/W4405022554","https://openalex.org/W4411319802","https://openalex.org/W7110448534"],"related_works":[],"abstract_inverted_index":{"Nonlocal":[0],"games":[1,106],"play":[2],"a":[3,25,29,33,38,108,137,149],"crucial":[4],"role":[5],"in":[6,14],"quantum":[7,39,65,97],"information":[8],"theory":[9],"and":[10,16,43,57,83,107],"have":[11],"numerous":[12],"applications":[13],"certification":[15],"cryptographic":[17],"protocols.":[18],"Kalai":[19,92],"et":[20,93],"al.":[21,94],"(STOC":[22],"2023)":[23,60],"introduced":[24],"procedure":[26,90],"to":[27,120,177],"compile":[28],"nonlocal":[30,174],"game":[31,140,175],"into":[32],"single-prover":[34],"interactive":[35],"proof,":[36],"using":[37],"homomorphic":[40],"encryption":[41],"scheme,":[42],"showed":[44,62],"that":[45,63,87,117,142,153],"their":[46],"compilation":[47,89,171],"method":[48],"preserves":[49,95],"the":[50,54,64,70,74,78,88,96,170,173,178],"classical":[51],"bound":[52,66,98],"of":[53,73,81,91,102,112,132,156,163,172],"game.":[55,76],"Natarajan":[56,82],"Zhang":[58],"(FOCS":[59],"then":[61],"is":[67],"preserved":[68],"for":[69,99,129,152],"specific":[71],"case":[72],"CHSH":[75,113,123],"Extending":[77],"proof":[79],"techniques":[80],"Zhang,":[84],"we":[85,118,159],"show":[86],"two":[100],"classes":[101],"games:":[103],"bipartite":[104],"XOR":[105,139],"higher":[109],"dimensional":[110],"generalization":[111],"(the":[114],"SATWAP":[115],"inequality),":[116],"refer":[119],"as":[121,148],"d-outcome":[122],"games.":[124],"We":[125],"also":[126],"establish":[127],"that,":[128],"any":[130],"pair":[131,155],"qubit":[133,166],"measurements,":[134],"there":[135],"exists":[136],"compiled":[138],"such":[141],"its":[143],"near-optimal":[144],"winning":[145],"probability":[146],"serves":[147],"robust":[150],"selftest":[151],"particular":[154],"measurements.":[157],"Finally,":[158],"derive":[160],"computational":[161],"self-testing":[162],"three":[164],"anticommuting":[165],"observables,":[167],"based":[168],"on":[169],"corresponding":[176],"so-called":[179],"elegant":[180],"Bell":[181],"inequality.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}