{"id":"https://openalex.org/W3043108099","doi":"https://doi.org/10.22331/q-2021-01-20-383","title":"Measurement sequences for magic state distillation","display_name":"Measurement sequences for magic state distillation","publication_year":2021,"publication_date":"2021-01-20","ids":{"openalex":"https://openalex.org/W3043108099","doi":"https://doi.org/10.22331/q-2021-01-20-383","mag":"3043108099"},"language":"en","primary_location":{"id":"doi:10.22331/q-2021-01-20-383","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-01-20-383","pdf_url":"https://quantum-journal.org/papers/q-2021-01-20-383/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-2021-01-20-383/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036464616","display_name":"Jeongwan Haah","orcid":"https://orcid.org/0000-0002-1087-6853"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeongwan Haah","raw_affiliation_strings":["Microsoft Quantum, Redmond, Washington, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Quantum, Redmond, Washington, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112441815","display_name":"Matthew B. Hastings","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew B. Hastings","raw_affiliation_strings":["Microsoft Quantum, Redmond, Washington, USA","Microsoft Quantum, Santa Barbara, California, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Quantum, Redmond, Washington, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Quantum, Santa Barbara, California, USA","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036464616"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.2796,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60764525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":null,"first_page":"383","last_page":"383"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9990000128746033,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9948999881744385,"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/qubit","display_name":"Qubit","score":0.8064706325531006},{"id":"https://openalex.org/keywords/magic","display_name":"MAGIC (telescope)","score":0.7326740026473999},{"id":"https://openalex.org/keywords/distillation","display_name":"Distillation","score":0.6347411870956421},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5564563274383545},{"id":"https://openalex.org/keywords/entanglement-distillation","display_name":"Entanglement distillation","score":0.5291082262992859},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5235873460769653},{"id":"https://openalex.org/keywords/magic-square","display_name":"Magic square","score":0.47561007738113403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4617362916469574},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.44110748171806335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37316417694091797},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3408881425857544},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3402019441127777},{"id":"https://openalex.org/keywords/cluster-state","display_name":"Cluster state","score":0.333263099193573},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3216489553451538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31471124291419983},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3092465400695801},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14416354894638062},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.14349591732025146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14321714639663696}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.8064706325531006},{"id":"https://openalex.org/C2777704519","wikidata":"https://www.wikidata.org/wiki/Q45732","display_name":"MAGIC (telescope)","level":2,"score":0.7326740026473999},{"id":"https://openalex.org/C204030448","wikidata":"https://www.wikidata.org/wiki/Q101017","display_name":"Distillation","level":2,"score":0.6347411870956421},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5564563274383545},{"id":"https://openalex.org/C162967359","wikidata":"https://www.wikidata.org/wiki/Q5380096","display_name":"Entanglement distillation","level":5,"score":0.5291082262992859},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5235873460769653},{"id":"https://openalex.org/C44201097","wikidata":"https://www.wikidata.org/wiki/Q192089","display_name":"Magic square","level":2,"score":0.47561007738113403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4617362916469574},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.44110748171806335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37316417694091797},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3408881425857544},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3402019441127777},{"id":"https://openalex.org/C158456648","wikidata":"https://www.wikidata.org/wiki/Q5136706","display_name":"Cluster state","level":4,"score":0.333263099193573},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3216489553451538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31471124291419983},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3092465400695801},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14416354894638062},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.14349591732025146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14321714639663696},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2021-01-20-383","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-01-20-383","pdf_url":"https://quantum-journal.org/papers/q-2021-01-20-383/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:2007.07929","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.07929","pdf_url":"https://arxiv.org/pdf/2007.07929","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:doaj.org/article:e88f8c38ef2746859263b7c9960c2753","is_oa":true,"landing_page_url":"https://doaj.org/article/e88f8c38ef2746859263b7c9960c2753","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 5, p 383 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2021-01-20-383","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-01-20-383","pdf_url":"https://quantum-journal.org/papers/q-2021-01-20-383/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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3043108099.pdf","grobid_xml":"https://content.openalex.org/works/W3043108099.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W158761020","https://openalex.org/W1547035555","https://openalex.org/W1598829068","https://openalex.org/W1874981471","https://openalex.org/W1876851162","https://openalex.org/W1929354142","https://openalex.org/W2023679686","https://openalex.org/W2044066793","https://openalex.org/W2079294297","https://openalex.org/W2343247541","https://openalex.org/W2410653068","https://openalex.org/W2534820175","https://openalex.org/W2605394516","https://openalex.org/W2755575243","https://openalex.org/W2760602975","https://openalex.org/W2888308984","https://openalex.org/W2899163859","https://openalex.org/W2945632438","https://openalex.org/W2962919836","https://openalex.org/W3009119400","https://openalex.org/W3098541391","https://openalex.org/W3098566955","https://openalex.org/W3103161377","https://openalex.org/W3105445031","https://openalex.org/W3105633983","https://openalex.org/W4239191436","https://openalex.org/W4247321922","https://openalex.org/W4394662590","https://openalex.org/W6921750885"],"related_works":["https://openalex.org/W1593024148","https://openalex.org/W4386187402","https://openalex.org/W130141000","https://openalex.org/W2389144473","https://openalex.org/W1981099706","https://openalex.org/W2132875751","https://openalex.org/W4245585064","https://openalex.org/W4248375915","https://openalex.org/W171232330","https://openalex.org/W2065708769"],"abstract_inverted_index":{"Magic":[0],"state":[1,28],"distillation":[2,29],"uses":[3],"special":[4],"codes":[5],"to":[6,16],"suppress":[7,33],"errors":[8,35,46],"in":[9],"input":[10,51],"states,":[11,53],"which":[12,31],"are":[13],"often":[14],"tailored":[15],"a":[17,40,58],"Clifford-twirled":[18],"error":[19],"model.":[20],"We":[21],"present":[22],"detailed":[23],"measurement":[24],"sequences":[25],"for":[26],"magic":[27,52],"protocols":[30],"can":[32],"arbitrary":[34],"on":[36,57,67,74,80],"any":[37],"part":[38],"of":[39,45,64,70],"protocol,":[41],"assuming":[42],"the":[43],"independence":[44],"across":[47],"qubits.":[48,82],"Provided":[49],"with":[50],"our":[54],"protocol":[55],"operates":[56],"two-dimensional":[59],"square":[60],"grid":[61],"by":[62],"measurements":[63],"<mml:math":[65,72,78],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Z</mml:mi><mml:mi>Z</mml:mi></mml:math>":[66],"horizontal":[68],"pairs":[69],"qubits,":[71],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>X</mml:mi><mml:mi>X</mml:mi></mml:math>":[73],"vertical":[75],"pairs,":[76],"and":[77],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Z</mml:mi><mml:mo>,</mml:mo><mml:mi>X</mml:mi></mml:math>":[79],"single":[81]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}