{"id":"https://openalex.org/W2027440986","doi":"https://doi.org/10.1137/140971944","title":"Stronger Methods of Making Quantum Interactive Proofs Perfectly Complete","display_name":"Stronger Methods of Making Quantum Interactive Proofs Perfectly Complete","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2027440986","doi":"https://doi.org/10.1137/140971944","mag":"2027440986"},"language":"en","primary_location":{"id":"doi:10.1137/140971944","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140971944","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1210.1290","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5104493019","display_name":"Hirotada Kobayashi","orcid":null},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hirotada Kobayashi","raw_affiliation_strings":["Principles of Informatics Research Division National Institute of Informatics Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Principles of Informatics Research Division National Institute of Informatics Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011992745","display_name":"Fran\u00e7ois Le Gall","orcid":"https://orcid.org/0000-0003-3721-6553"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Le Gall","raw_affiliation_strings":["The University of Tokyo Tokyo, Japan","Department of Computer Science Graduate School of Information Science and Technology"],"affiliations":[{"raw_affiliation_string":"The University of Tokyo Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Department of Computer Science Graduate School of Information Science and Technology","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050194683","display_name":"Harumichi Nishimura","orcid":"https://orcid.org/0000-0002-2219-3320"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Harumichi Nishimura","raw_affiliation_strings":["Department of Computer Science and Mathematical Informatics Graduate School of Information Science Nagoya University Nagoya, Aichi, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematical Informatics Graduate School of Information Science Nagoya University Nagoya, Aichi, Japan","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5104493019"],"corresponding_institution_ids":["https://openalex.org/I184597095"],"apc_list":null,"apc_paid":null,"fwci":1.3353,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86087358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":"2","first_page":"243","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9993000030517578,"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/T10237","display_name":"Cryptography and Data Security","score":0.9993000030517578,"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":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematical-proof","display_name":"Mathematical proof","score":0.8339238166809082},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7838174104690552},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.778326153755188},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5444530248641968},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4991612434387207},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4985659122467041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48398375511169434},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48039013147354126},{"id":"https://openalex.org/keywords/zero-knowledge-proof","display_name":"Zero-knowledge proof","score":0.4800744652748108},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42991548776626587},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.4147046208381653},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.4136848747730255},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.2292177975177765},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12505057454109192},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0769532322883606},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0663614273071289}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8339238166809082},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7838174104690552},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.778326153755188},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5444530248641968},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4991612434387207},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4985659122467041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48398375511169434},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48039013147354126},{"id":"https://openalex.org/C176329583","wikidata":"https://www.wikidata.org/wiki/Q191943","display_name":"Zero-knowledge proof","level":3,"score":0.4800744652748108},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42991548776626587},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.4147046208381653},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.4136848747730255},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2292177975177765},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12505057454109192},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0769532322883606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0663614273071289},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/140971944","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140971944","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1210.1290","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.1290","pdf_url":"https://arxiv.org/pdf/1210.1290","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.1882","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.1882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1210.1290.pdf","raw_type":"text"},{"id":"mag:2934583172","is_oa":false,"landing_page_url":"https://www.ieice.org/ken/paper/20130624TBeF/eng/","pdf_url":null,"source":{"id":"https://openalex.org/S4306512848","display_name":"IEICE Technical Report; IEICE Tech. Rep.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEICE Technical Report; IEICE Tech. Rep.","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1210.1290","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.1290","pdf_url":"https://arxiv.org/pdf/1210.1290","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W4172973","https://openalex.org/W1534752942","https://openalex.org/W1546090284","https://openalex.org/W1572495953","https://openalex.org/W1625398148","https://openalex.org/W1627385003","https://openalex.org/W1631356911","https://openalex.org/W1632729363","https://openalex.org/W1637279396","https://openalex.org/W1639499559","https://openalex.org/W1837750740","https://openalex.org/W1977334048","https://openalex.org/W1989051052","https://openalex.org/W1999502904","https://openalex.org/W2005170092","https://openalex.org/W2007370826","https://openalex.org/W2010699490","https://openalex.org/W2015775929","https://openalex.org/W2019578639","https://openalex.org/W2028406173","https://openalex.org/W2033439890","https://openalex.org/W2044949772","https://openalex.org/W2051557804","https://openalex.org/W2057741042","https://openalex.org/W2058172107","https://openalex.org/W2070767505","https://openalex.org/W2071083341","https://openalex.org/W2084019889","https://openalex.org/W2084652510","https://openalex.org/W2096390054","https://openalex.org/W2100827027","https://openalex.org/W2101577710","https://openalex.org/W2109853157","https://openalex.org/W2111385661","https://openalex.org/W2114473497","https://openalex.org/W2116102644","https://openalex.org/W2132605415","https://openalex.org/W2148352980","https://openalex.org/W2154276597","https://openalex.org/W2156652176","https://openalex.org/W2167927798","https://openalex.org/W2174563490","https://openalex.org/W2177219880","https://openalex.org/W2295995314","https://openalex.org/W2764347725","https://openalex.org/W2950329726","https://openalex.org/W2950862844","https://openalex.org/W2951046429","https://openalex.org/W2951314874","https://openalex.org/W2953217285","https://openalex.org/W2998112988","https://openalex.org/W3014617384","https://openalex.org/W4307492550","https://openalex.org/W4394649289","https://openalex.org/W4394699790"],"related_works":["https://openalex.org/W2466303427","https://openalex.org/W13634261","https://openalex.org/W4250462479","https://openalex.org/W1516766811","https://openalex.org/W2035793348","https://openalex.org/W2157568248","https://openalex.org/W2969705217","https://openalex.org/W3163509751","https://openalex.org/W2809883875","https://openalex.org/W958050847"],"abstract_inverted_index":{"This":[0,50,120],"paper":[1],"presents":[2],"stronger":[3],"methods":[4],"of":[5,45,47,65,86,134],"achieving":[6],"perfect":[7,29,73,113,140],"completeness":[8,30,114],"in":[9,19,51,84],"quantum":[10,24,69,87,100,108],"interactive":[11,25,70,88,101,109],"proofs.":[12,89],"It":[13,90],"is":[14,58,91],"proved":[15,93],"that":[16,54,94],"any":[17,95],"problem":[18,96],"QMA":[20,57,83],"has":[21,38,105],"a":[22,42],"two-message":[23,68],"proof":[26,102,110],"system":[27,103,111],"with":[28,72,112],"and":[31,128],"constant":[32,43],"soundness":[33],"error,":[34],"where":[35],"the":[36,55,62,77,122,132,145],"verifier":[37],"only":[39],"to":[40,126,138],"send":[41],"number":[44,133],"halves":[46],"EPR":[48],"pairs.":[49],"particular":[52],"implies":[53],"class":[56,63],"necessarily":[59,104],"included":[60],"by":[61,136],"${{QIP}_1(2)}$":[64],"problems":[66],"having":[67,97],"proofs":[71],"completeness,":[74,141],"which":[75,130],"gives":[76],"first":[78],"nontrivial":[79],"upper":[80],"bound":[81],"for":[82,115],"terms":[85],"also":[92],"an":[98,106],"m-message":[99],"(m+1)-message":[107],"every":[116],"${m":[117],"\\geq":[118],"2}$.":[119],"improves":[121],"previous":[123],"construction":[124],"due":[125],"Kitaev":[127],"Watrous,":[129],"increases":[131],"messages":[135],"two":[137],"achieve":[139],"if":[142],"not":[143],"using":[144],"parallelization":[146],"result.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
