{"id":"https://openalex.org/W3110543860","doi":"https://doi.org/10.22331/q-2022-02-21-657","title":"Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates","display_name":"Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates","publication_year":2022,"publication_date":"2022-02-21","ids":{"openalex":"https://openalex.org/W3110543860","doi":"https://doi.org/10.22331/q-2022-02-21-657","mag":"3110543860"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-02-21-657","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-02-21-657","pdf_url":"https://quantum-journal.org/papers/q-2022-02-21-657/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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-02-21-657/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087835829","display_name":"Jonas Helsen","orcid":"https://orcid.org/0000-0001-7218-2585"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jonas Helsen","raw_affiliation_strings":["Centrum Wiskunde & Informatica (CWI), Science Park 123, 1098 XG Amsterdam, The Netherlands","QuSoft & Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centrum Wiskunde & Informatica (CWI), Science Park 123, 1098 XG Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"QuSoft & Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I4210099082","https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020980971","display_name":"Sepehr Nezami","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sepehr Nezami","raw_affiliation_strings":["Institute for Quantum Information and Matter, Caltech, Pasadena, CA 91125, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Information and Matter, Caltech, Pasadena, CA 91125, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060217101","display_name":"Matthew J. Reagor","orcid":"https://orcid.org/0000-0003-2576-9097"},"institutions":[{"id":"https://openalex.org/I4210158803","display_name":"Rigetti Computing (United States)","ror":"https://ror.org/04trkh314","country_code":"US","type":"company","lineage":["https://openalex.org/I4210158803"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Reagor","raw_affiliation_strings":["Rigetti Computing, 775 Heinz Ave, Berkeley, CA 94710, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rigetti Computing, 775 Heinz Ave, Berkeley, CA 94710, USA","institution_ids":["https://openalex.org/I4210158803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016087422","display_name":"Michael Walter","orcid":"https://orcid.org/0000-0002-3073-1408"},"institutions":[{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]},{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Michael Walter","raw_affiliation_strings":["Faculty of Computer Science, Ruhr University Bochum, Universit\u00e4tsstra\u00dfe 150, 44801 Bochum, Germany","Institute for Theoretical Physics & ILLC, University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands","QuSoft & Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Ruhr University Bochum, Universit\u00e4tsstra\u00dfe 150, 44801 Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"Institute for Theoretical Physics & ILLC, University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"QuSoft & Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I4210099082","https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"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":5.2734,"has_fulltext":true,"cited_by_count":44,"citation_normalized_percentile":{"value":0.95993967,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"657","last_page":"657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9991000294685364,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.998199999332428,"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/benchmarking","display_name":"Benchmarking","score":0.8477295637130737},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.7799416780471802},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.776050329208374},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.712691068649292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6667320132255554},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.5400128960609436},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5346053838729858},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.48242196440696716},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.45163992047309875},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.42606669664382935},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4037296175956726},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3298720121383667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22953349351882935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14172467589378357},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10141459107398987},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0855451226234436}],"concepts":[{"id":"https://openalex.org/C86251818","wikidata":"https://www.wikidata.org/wiki/Q816754","display_name":"Benchmarking","level":2,"score":0.8477295637130737},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.7799416780471802},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.776050329208374},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.712691068649292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6667320132255554},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.5400128960609436},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5346053838729858},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.48242196440696716},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.45163992047309875},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.42606669664382935},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4037296175956726},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3298720121383667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22953349351882935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14172467589378357},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10141459107398987},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0855451226234436},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2022-02-21-657","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-02-21-657","pdf_url":"https://quantum-journal.org/papers/q-2022-02-21-657/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:arXiv.org:2011.13048","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.13048","pdf_url":"https://arxiv.org/pdf/2011.13048","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:cwi.nl:31593","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/31593","pdf_url":"https://ir.cwi.nl/pub/31593/31593.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum vol. 6","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:authors.library.caltech.edu:114396","is_oa":true,"landing_page_url":"https://authors.library.caltech.edu/114396/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:b88a8a19076540ef9861b81de770bac6","is_oa":true,"landing_page_url":"https://doaj.org/article/b88a8a19076540ef9861b81de770bac6","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 6, p 657 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-02-21-657","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-02-21-657","pdf_url":"https://quantum-journal.org/papers/q-2022-02-21-657/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":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G18682879","display_name":null,"funder_award_id":"390781972","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3823676635","display_name":null,"funder_award_id":"680-47-459","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G7164833740","display_name":null,"funder_award_id":"OCENW.KLEIN.267","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G8282940792","display_name":null,"funder_award_id":"HR00112090058","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320332815","display_name":"Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3110543860.pdf","grobid_xml":"https://content.openalex.org/works/W3110543860.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1502291261","https://openalex.org/W1524834675","https://openalex.org/W1530936416","https://openalex.org/W1534413569","https://openalex.org/W1568345435","https://openalex.org/W1860626550","https://openalex.org/W1965985358","https://openalex.org/W1991977420","https://openalex.org/W2003534413","https://openalex.org/W2016311577","https://openalex.org/W2036481581","https://openalex.org/W2041497060","https://openalex.org/W2068704276","https://openalex.org/W2081405278","https://openalex.org/W2114438780","https://openalex.org/W2147265170","https://openalex.org/W2170620327","https://openalex.org/W2248381460","https://openalex.org/W2257937122","https://openalex.org/W2263382461","https://openalex.org/W2298410160","https://openalex.org/W2338653245","https://openalex.org/W2517482430","https://openalex.org/W2558559511","https://openalex.org/W2560309622","https://openalex.org/W2784023939","https://openalex.org/W2797451925","https://openalex.org/W2899729961","https://openalex.org/W2945916077","https://openalex.org/W2949178668","https://openalex.org/W2969837183","https://openalex.org/W2982169647","https://openalex.org/W2996150366","https://openalex.org/W3097248269","https://openalex.org/W3098892212","https://openalex.org/W3099175659","https://openalex.org/W3099799934","https://openalex.org/W3100672708","https://openalex.org/W3104213228","https://openalex.org/W3137891304","https://openalex.org/W3153692613","https://openalex.org/W3164567370","https://openalex.org/W3215015538","https://openalex.org/W4243386666","https://openalex.org/W4393559660"],"related_works":["https://openalex.org/W4238897586","https://openalex.org/W435179959","https://openalex.org/W2619091065","https://openalex.org/W2059640416","https://openalex.org/W1490753184","https://openalex.org/W2284465472","https://openalex.org/W2291782699","https://openalex.org/W1993948687","https://openalex.org/W2000169967","https://openalex.org/W2921698691"],"abstract_inverted_index":{"We":[0,52],"propose":[1],"a":[2,80],"method":[3],"to":[4,66],"reliably":[5],"and":[6,57,62],"efficiently":[7],"extract":[8],"the":[9,46,54,60,68],"fidelity":[10],"of":[11,16,49,59,70],"many-qubit":[12],"quantum":[13,81],"circuits":[14,72],"composed":[15],"continuously":[17],"parametrized":[18],"two-qubit":[19,75],"gates":[20],"called":[21],"matchgates.":[22],"This":[23],"method,":[24],"which":[25],"we":[26],"call":[27],"<mml:math":[28],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[29],"class=\"MJX-TeXAtom-ORD\"><mml:mtext":[30],"class=\"MJX-tex-mathit\"":[31],"mathvariant=\"italic\">matchgate":[32],"benchmarking</mml:mtext></mml:mrow></mml:math>,":[33],"relies":[34],"on":[35,79],"advanced":[36],"techniques":[37],"from":[38,45],"randomized":[39],"benchmarking":[40],"as":[41,43],"well":[42],"insights":[44],"representation":[47],"theory":[48],"matchgate":[50,71],"circuits.":[51],"argue":[53],"formal":[55],"correctness":[56],"scalability":[58],"protocol,":[61],"moreover":[63],"deploy":[64],"it":[65],"estimate":[67],"performance":[69],"generated":[73],"by":[74],"XY":[76],"spin":[77],"interactions":[78],"processor.":[82]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-10T00:00:00"}