{"id":"https://openalex.org/W2995073199","doi":"https://doi.org/10.1145/3371089","title":"Relational proofs for quantum programs","display_name":"Relational proofs for quantum programs","publication_year":2019,"publication_date":"2019-12-20","ids":{"openalex":"https://openalex.org/W2995073199","doi":"https://doi.org/10.1145/3371089","mag":"2995073199"},"language":"en","primary_location":{"id":"doi:10.1145/3371089","doi":"https://doi.org/10.1145/3371089","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3371089","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3371089","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-c","cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Programming Languages","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3371089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Gilles Barthe","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210162154","display_name":"IMDEA Software Institute","ror":"https://ror.org/04xvfkh51","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I4210162154"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gilles Barthe","raw_affiliation_strings":["MPI for Security and Privacy, Germany / IMDEA Software Institute, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI for Security and Privacy, Germany / IMDEA Software Institute, Spain","institution_ids":["https://openalex.org/I4210162154"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033286190","display_name":"Justin Hsu","orcid":"https://orcid.org/0000-0002-8953-7060","observed_orcids":["https://orcid.org/0000-0002-8953-7060"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin Hsu","raw_affiliation_strings":["University of Wisconsin-Madison, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023088481","display_name":"Mingsheng Ying","orcid":"https://orcid.org/0000-0003-4847-702X","observed_orcids":["https://orcid.org/0000-0003-4847-702X"]},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Mingsheng Ying","raw_affiliation_strings":["University of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China","institution_ids":["https://openalex.org/I114017466","https://openalex.org/I19820366","https://openalex.org/I4210128818","https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088217238","display_name":"Nengkun Yu","orcid":"https://orcid.org/0000-0003-1188-3032","observed_orcids":["https://orcid.org/0000-0003-1188-3032"]},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Nengkun Yu","raw_affiliation_strings":["University of Technology Sydney, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Technology Sydney, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"last","author":{"id":null,"display_name":"Li Zhou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Zhou","raw_affiliation_strings":["MPI for Security and Privacy, Germany / Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MPI for Security and Privacy, Germany / Tsinghua University, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2134,"has_fulltext":true,"cited_by_count":56,"citation_normalized_percentile":{"value":0.89887858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"4","issue":"POPL","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5005000233650208,"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":0.5005000233650208,"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/T10126","display_name":"Logic, programming, and type systems","score":0.46950000524520874,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.013799999840557575,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-programs","display_name":"quantum programs","score":0.9679999947547913},{"id":"https://openalex.org/keywords/probabilistic-coupling","display_name":"probabilistic coupling","score":0.9290000200271606},{"id":"https://openalex.org/keywords/quantum-teleportation","display_name":"quantum teleportation","score":0.859000027179718},{"id":"https://openalex.org/keywords/quantum-one-time-pad","display_name":"quantum one-time pad","score":0.8330000042915344},{"id":"https://openalex.org/keywords/quantum-walks","display_name":"quantum walks","score":0.9259999990463257},{"id":"https://openalex.org/keywords/program-verification","display_name":"program verification","score":0.6539999842643738},{"id":"https://openalex.org/keywords/post-quantum-security","display_name":"post-quantum security","score":0.9169999957084656}],"concepts":[{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.5479000210762024},{"id":"https://openalex.org/C169460222","wikidata":"https://www.wikidata.org/wiki/Q1206311","display_name":"Quantum logic","level":4,"score":0.5066999793052673},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.47040000557899475},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.4681999981403351},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4569999873638153},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.44429999589920044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43689998984336853},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.4189999997615814},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.40639999508857727},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3955000042915344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3837999999523163},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3756999969482422},{"id":"https://openalex.org/C105295557","wikidata":"https://www.wikidata.org/wiki/Q5051814","display_name":"Categorical quantum mechanics","level":5,"score":0.36660000681877136},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.3497999906539917},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.3353999853134155},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.32739999890327454},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3176000118255615},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.31470000743865967},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.31380000710487366},{"id":"https://openalex.org/C30128091","wikidata":"https://www.wikidata.org/wiki/Q291929","display_name":"Predicate transformer semantics","level":4,"score":0.3109999895095825},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3100999891757965},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.30880001187324524},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C19271316","wikidata":"https://www.wikidata.org/wiki/Q7092353","display_name":"One-way quantum computer","level":5,"score":0.27160000801086426},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2694000005722046},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.26420000195503235}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3371089","doi":"https://doi.org/10.1145/3371089","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3371089","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3371089","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-c","cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Programming Languages","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1901.05184","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.05184","pdf_url":"https://arxiv.org/pdf/1901.05184","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"mag:2909898489","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.05184.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/140617","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/140617","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/147121","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/147121","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"doi:10.48550/arxiv.1901.05184","doi":"https://doi.org/10.48550/arxiv.1901.05184","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.05184","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1145/3371089","doi":"https://doi.org/10.1145/3371089","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3371089","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3371089","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-c","cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6979490891","display_name":"Quantum property testing-a fundamental technology for quantum big data","funder_award_id":"DE180100156","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8331665637","display_name":"Verification and analysis of quantum programs","funder_award_id":"DP180100691","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8332624565","display_name":"\u91cf\u5b50\u7a0b\u5e8f\u8bbe\u8ba1\u7684\u7406\u8bba\u57fa\u7840","funder_award_id":"61832015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320318428","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995073199.pdf","grobid_xml":"https://content.openalex.org/works/W2995073199.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W294073838","https://openalex.org/W385466589","https://openalex.org/W1498858133","https://openalex.org/W1535793628","https://openalex.org/W1540515733","https://openalex.org/W1556566737","https://openalex.org/W1559699582","https://openalex.org/W1626954859","https://openalex.org/W1631356911","https://openalex.org/W1644115585","https://openalex.org/W1802214495","https://openalex.org/W1882199594","https://openalex.org/W1978553093","https://openalex.org/W1985617186","https://openalex.org/W1999626800","https://openalex.org/W2003718433","https://openalex.org/W2011086847","https://openalex.org/W2034920898","https://openalex.org/W2043414726","https://openalex.org/W2044357043","https://openalex.org/W2044630019","https://openalex.org/W2044912742","https://openalex.org/W2070589948","https://openalex.org/W2077767282","https://openalex.org/W2091015169","https://openalex.org/W2100877271","https://openalex.org/W2121087903","https://openalex.org/W2144607693","https://openalex.org/W2155544688","https://openalex.org/W2160185408","https://openalex.org/W2228964661","https://openalex.org/W2230188413","https://openalex.org/W2256047742","https://openalex.org/W2295961883","https://openalex.org/W2336782306","https://openalex.org/W2580401938","https://openalex.org/W2745179117","https://openalex.org/W2764347725","https://openalex.org/W2766478409","https://openalex.org/W2787461609","https://openalex.org/W2804172638","https://openalex.org/W2899524259","https://openalex.org/W2912352268","https://openalex.org/W2923040277","https://openalex.org/W2939719762","https://openalex.org/W2950053966","https://openalex.org/W2950993906","https://openalex.org/W2955434816","https://openalex.org/W2962822640","https://openalex.org/W2969498931","https://openalex.org/W3102327618","https://openalex.org/W3145555275","https://openalex.org/W4233762729"],"related_works":["https://openalex.org/W2909898489","https://openalex.org/W2787461609","https://openalex.org/W4400995151","https://openalex.org/W3105304321","https://openalex.org/W4415004488","https://openalex.org/W1498858133","https://openalex.org/W2937637014","https://openalex.org/W4396618946","https://openalex.org/W2044357043","https://openalex.org/W7100161857"],"abstract_inverted_index":{"Relational":[0],"verification":[1],"of":[2,28,37,49,63,73,79],"quantum":[3,10,24,35,50,59,64,74,80],"programs":[4],"has":[5],"many":[6],"potential":[7],"applications":[8],"in":[9],"and":[11,14,69,77],"post-quantum":[12],"security":[13,72],"other":[15],"domains.":[16],"We":[17,40],"propose":[18],"a":[19,34],"relational":[20,47],"program":[21],"logic":[22,30,43],"for":[23,54],"programs.":[25],"The":[26],"interpretation":[27],"our":[29,42],"is":[31],"based":[32],"on":[33],"analogue":[36],"probabilistic":[38],"couplings.":[39],"use":[41],"to":[44],"verify":[45],"non-trivial":[46],"properties":[48],"programs,":[51],"including":[52],"uniformity":[53],"samples":[55],"generated":[56],"by":[57],"the":[58],"Bernoulli":[60],"factory,":[61],"reliability":[62],"teleportation":[65],"against":[66],"noise":[67],"(bit":[68],"phase":[70],"flip),":[71],"one-time":[75],"pad":[76],"equivalence":[78],"walks.":[81]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2019-12-26T00:00:00"}