{"id":"https://openalex.org/W2151700290","doi":"https://doi.org/10.1137/s0097539702404377","title":"Self-Testing of Universal and Fault-Tolerant Sets of Quantum Gates","display_name":"Self-Testing of Universal and Fault-Tolerant Sets of Quantum Gates","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2151700290","doi":"https://doi.org/10.1137/s0097539702404377","mag":"2151700290"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539702404377","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539702404377","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":["crossref"],"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/A5014707551","display_name":"Wim van Dam","orcid":"https://orcid.org/0000-0001-7852-6158"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wim van Dam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045780938","display_name":"Fr\u00e9d\u00e9ric Magniez","orcid":"https://orcid.org/0000-0003-2384-9026"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Magniez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009567571","display_name":"Michele Mosca","orcid":"https://orcid.org/0000-0001-7076-3095"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michele Mosca","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046562790","display_name":"Mikl\u00f3s S\u00e1ntha","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miklos Santha","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3854,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90449754,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"37","issue":"2","first_page":"611","last_page":"629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.996999979019165,"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-gate","display_name":"Quantum gate","score":0.7051534652709961},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.676803708076477},{"id":"https://openalex.org/keywords/universal-set","display_name":"Universal set","score":0.6049102544784546},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5182992815971375},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.4770200252532959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4531632959842682},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42934197187423706},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41333910822868347},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4124874174594879},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3741165101528168},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.322914719581604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3201999068260193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3052269220352173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3028852045536041},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2928474545478821}],"concepts":[{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.7051534652709961},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.676803708076477},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.6049102544784546},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5182992815971375},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.4770200252532959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4531632959842682},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42934197187423706},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41333910822868347},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4124874174594879},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3741165101528168},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.322914719581604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3201999068260193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3052269220352173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3028852045536041},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2928474545478821},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0097539702404377","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539702404377","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1965928854","https://openalex.org/W1992769799","https://openalex.org/W1993248778","https://openalex.org/W1999450843","https://openalex.org/W2018925011","https://openalex.org/W2020123688","https://openalex.org/W2045864031","https://openalex.org/W2078439793","https://openalex.org/W2101088258","https://openalex.org/W2102008187","https://openalex.org/W2148123045","https://openalex.org/W2148132004","https://openalex.org/W2151603610","https://openalex.org/W2159566537","https://openalex.org/W2166065655","https://openalex.org/W2913788899","https://openalex.org/W3004537778"],"related_works":["https://openalex.org/W2953212336","https://openalex.org/W2951218862","https://openalex.org/W4386518378","https://openalex.org/W4390317706","https://openalex.org/W4321013343","https://openalex.org/W1542860149","https://openalex.org/W3092615945","https://openalex.org/W4389168385","https://openalex.org/W2164545296","https://openalex.org/W2068708279"],"abstract_inverted_index":{"We":[0,91],"consider":[1],"the":[2,12,46,49,53,56,86,93,118],"design":[3,69],"of":[4,51,64,74,85,88,102,123,126,138],"self-testers":[5],"for":[6,11,72,104],"quantum":[7],"gates.":[8,75],"A":[9],"self-tester":[10],"gates":[13,22,54,124],"$\\boldsymbol{F}_1,\\ldots,":[14],"\\boldsymbol{F}_m$":[15],"is":[16,33,141],"a":[17,100,127,130,134],"procedure":[18],"that,":[19,62],"given":[20],"any":[21],"$\\boldsymbol{G}_1,":[23],"\\ldots,":[24],"\\boldsymbol{G}_m$,":[25],"decides":[26],"with":[27],"high":[28],"probability":[29],"if":[30],"each":[31],"$\\boldsymbol{G}_i$":[32],"close":[34],"to":[35,40,111],"$\\boldsymbol{F}_i$.":[36],"This":[37],"decision":[38],"has":[39],"rely":[41],"only":[42,70],"on":[43,55],"measuring":[44],"in":[45],"computational":[47],"basis":[48],"effect":[50],"iterating":[52],"classical":[57],"states.":[58],"It":[59],"turns":[60],"out":[61],"instead":[63],"individual":[65],"gates,":[66],"we":[67,80,115],"can":[68],"procedures":[71],"families":[73,95],"To":[76],"achieve":[77],"our":[78],"goal":[79],"borrow":[81],"some":[82],"elegant":[83],"ideas":[84],"theory":[87,101],"program":[89],"testing:":[90],"characterize":[92],"gate":[94,137],"by":[96],"specific":[97],"properties,":[98],"develop":[99],"robustness":[103],"them,":[105],"and":[106,120,133],"show":[107],"that":[108,117],"they":[109],"lead":[110],"self-testers.":[112],"In":[113],"particular":[114],"prove":[116],"universal":[119],"fault-tolerant":[121],"set":[122],"consisting":[125],"Hadamard":[128],"gate,":[129,132],"$\\mathrm{c\\text{-}NOT}$":[131],"phase":[135],"rotation":[136],"angle":[139],"$\\pi/4$":[140],"self-testable.":[142]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}