{"id":"https://openalex.org/W7104590911","doi":"https://doi.org/10.1145/3747199.3747541","title":"A Noncommutative Nullstellensatz for Perfect Two-Answer Quantum Nonlocal Games","display_name":"A Noncommutative Nullstellensatz for Perfect Two-Answer Quantum Nonlocal Games","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W7104590911","doi":"https://doi.org/10.1145/3747199.3747541"},"language":null,"primary_location":{"id":"doi:10.1145/3747199.3747541","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747541","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747541","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747541","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Tianshi Yu","orcid":"https://orcid.org/0009-0007-2498-3346"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianshi Yu","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Beijing, China and University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0007-2498-3346","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Beijing, China and University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lihong Zhi","orcid":"https://orcid.org/0000-0001-9973-2217"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lihong Zhi","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Beijing, China and University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9973-2217","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Beijing, China and University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.55519534,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"8","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.8745999932289124,"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":0.8745999932289124,"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":0.023399999365210533,"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":0.02070000022649765,"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/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.9203000068664551},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6047000288963318},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5185999870300293},{"id":"https://openalex.org/keywords/noncommutative-quantum-field-theory","display_name":"Noncommutative quantum field theory","score":0.4140999913215637},{"id":"https://openalex.org/keywords/quantum-pseudo-telepathy","display_name":"Quantum pseudo-telepathy","score":0.32179999351501465},{"id":"https://openalex.org/keywords/quantum-differential-calculus","display_name":"Quantum differential calculus","score":0.3206999897956848}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.9203000068664551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6060000061988831},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6047000288963318},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5185999870300293},{"id":"https://openalex.org/C29384965","wikidata":"https://www.wikidata.org/wiki/Q7049223","display_name":"Noncommutative quantum field theory","level":3,"score":0.4140999913215637},{"id":"https://openalex.org/C147323434","wikidata":"https://www.wikidata.org/wiki/Q7269086","display_name":"Quantum pseudo-telepathy","level":5,"score":0.32179999351501465},{"id":"https://openalex.org/C52465356","wikidata":"https://www.wikidata.org/wiki/Q7269034","display_name":"Quantum differential calculus","level":4,"score":0.3206999897956848},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.29679998755455017},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26919999718666077},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.26829999685287476},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.25949999690055847},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2587999999523163},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3747199.3747541","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747541","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747541","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3747199.3747541","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747541","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3747199.3747541","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.48471978306770325,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G5327571175","display_name":null,"funder_award_id":"2023YFA1009401","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7104590911.pdf","grobid_xml":"https://content.openalex.org/works/W7104590911.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W164560920","https://openalex.org/W1527351491","https://openalex.org/W2028815089","https://openalex.org/W2055874354","https://openalex.org/W2077628615","https://openalex.org/W2109228878","https://openalex.org/W2118745196","https://openalex.org/W2135830616","https://openalex.org/W2150044500","https://openalex.org/W2162178369","https://openalex.org/W2235071187","https://openalex.org/W2797226422","https://openalex.org/W2912522929","https://openalex.org/W2951124766","https://openalex.org/W2962759254","https://openalex.org/W2963218709","https://openalex.org/W2963458829","https://openalex.org/W2964260944","https://openalex.org/W3096767871","https://openalex.org/W4235381922","https://openalex.org/W4383222037"],"related_works":[],"abstract_inverted_index":{"This":[0,62],"paper":[1],"introduces":[2],"a":[3,22,27,33,47,51,58,65],"noncommutative":[4,69],"version":[5],"of":[6,13,68],"the":[7,11,42],"Nullstellensatz,":[8],"motivated":[9],"by":[10],"study":[12],"quantum":[14,29],"nonlocal":[15,24],"games.":[16],"It":[17],"has":[18],"been":[19],"proved":[20],"that":[21,46],"two-answer":[23,48],"game":[25,49],"with":[26,50],"perfect":[28,34,52,59],"strategy":[30,55],"also":[31,56],"admits":[32,57],"classical":[35,60],"strategy.":[36,61],"We":[37],"generalize":[38],"this":[39],"result":[40,63],"to":[41],"infinite-dimensional":[43],"case,":[44],"showing":[45],"commuting":[53],"operator":[54],"induces":[64],"special":[66],"case":[67],"Nullstellensatz.":[70]},"counts_by_year":[],"updated_date":"2026-03-12T06:13:28.667946","created_date":"2025-11-10T00:00:00"}