{"id":"https://openalex.org/W4399781077","doi":"https://doi.org/10.22331/q-2024-06-18-1379","title":"Unifying flavors of fault tolerance with the ZX calculus","display_name":"Unifying flavors of fault tolerance with the ZX calculus","publication_year":2024,"publication_date":"2024-06-18","ids":{"openalex":"https://openalex.org/W4399781077","doi":"https://doi.org/10.22331/q-2024-06-18-1379"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-06-18-1379","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-06-18-1379","pdf_url":"https://quantum-journal.org/papers/q-2024-06-18-1379/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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-06-18-1379/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084825314","display_name":"H\u00e9ctor Bomb\u00edn","orcid":"https://orcid.org/0000-0001-6728-5002"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hector Bombin","raw_affiliation_strings":["PsiQuantum, Palo Alto"],"affiliations":[{"raw_affiliation_string":"PsiQuantum, Palo Alto","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073970081","display_name":"Daniel Litinski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Litinski","raw_affiliation_strings":["PsiQuantum, Palo Alto"],"affiliations":[{"raw_affiliation_string":"PsiQuantum, Palo Alto","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039127008","display_name":"Naomi Nickerson","orcid":"https://orcid.org/0000-0003-4874-4335"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Naomi Nickerson","raw_affiliation_strings":["PsiQuantum, Palo Alto"],"affiliations":[{"raw_affiliation_string":"PsiQuantum, Palo Alto","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072449533","display_name":"Fernando Pastawski","orcid":"https://orcid.org/0000-0002-3104-7392"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fernando Pastawski","raw_affiliation_strings":["PsiQuantum, Palo Alto"],"affiliations":[{"raw_affiliation_string":"PsiQuantum, Palo Alto","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025170689","display_name":"Sam Roberts","orcid":"https://orcid.org/0000-0002-4652-389X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sam Roberts","raw_affiliation_strings":["PsiQuantum, Palo Alto"],"affiliations":[{"raw_affiliation_string":"PsiQuantum, Palo Alto","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084825314"],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":10.0575,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.98582893,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"8","issue":null,"first_page":"1379","last_page":"1379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9972000122070312,"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/T11424","display_name":"Security and Verification in Computing","score":0.9958000183105469,"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/calculus","display_name":"Calculus (dental)","score":0.5034353137016296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4455839693546295},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.4109693467617035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3622744679450989},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1430031657218933},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12895417213439941},{"id":"https://openalex.org/keywords/dentistry","display_name":"Dentistry","score":0.088155597448349},{"id":"https://openalex.org/keywords/seismology","display_name":"Seismology","score":0.07814764976501465}],"concepts":[{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5034353137016296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4455839693546295},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.4109693467617035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3622744679450989},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1430031657218933},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12895417213439941},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.088155597448349},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.07814764976501465}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2024-06-18-1379","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-06-18-1379","pdf_url":"https://quantum-journal.org/papers/q-2024-06-18-1379/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:doaj.org/article:5a8accc9bbae4803ba38558f44dfbd27","is_oa":true,"landing_page_url":"https://doaj.org/article/5a8accc9bbae4803ba38558f44dfbd27","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1379 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-06-18-1379","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-06-18-1379","pdf_url":"https://quantum-journal.org/papers/q-2024-06-18-1379/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":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399781077.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W2000415061","https://openalex.org/W2013754283","https://openalex.org/W2014749022","https://openalex.org/W2045702468","https://openalex.org/W2088636071","https://openalex.org/W2096331363","https://openalex.org/W2102162525","https://openalex.org/W2103368228","https://openalex.org/W2135273380","https://openalex.org/W2598985404","https://openalex.org/W2610243179","https://openalex.org/W2798910219","https://openalex.org/W2896004527","https://openalex.org/W2964268018","https://openalex.org/W2976542453","https://openalex.org/W3031889581","https://openalex.org/W3098722073","https://openalex.org/W3099344125","https://openalex.org/W3100736866","https://openalex.org/W3104500086","https://openalex.org/W3122257190","https://openalex.org/W3181439919","https://openalex.org/W3205751967","https://openalex.org/W3207755657","https://openalex.org/W4283709126","https://openalex.org/W4287548337","https://openalex.org/W4293370934","https://openalex.org/W4296720917","https://openalex.org/W4307783847","https://openalex.org/W4310428679","https://openalex.org/W4313913930","https://openalex.org/W4318040990","https://openalex.org/W4323921815","https://openalex.org/W4362696683","https://openalex.org/W4380537436","https://openalex.org/W4388464319","https://openalex.org/W4392663133"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"There":[0],"are":[1],"several":[2],"models":[3,22,35,68],"of":[4,36,59,66,75,88,114],"quantum":[5,50],"computation":[6],"which":[7,92],"exhibit":[8],"shared":[9],"fundamental":[10],"fault-tolerance":[11,80,116],"properties.":[12],"This":[13],"article":[14],"makes":[15],"commonalities":[16],"explicit":[17],"by":[18],"presenting":[19],"these":[20,67],"different":[21,73,112],"in":[23],"a":[24,86],"unifying":[25,101],"framework":[26],"based":[27],"on":[28,34],"the":[29,55,76,105,111],"ZX":[30],"calculus.":[31],"We":[32,62,97],"focus":[33],"topological":[37],"fault":[38],"tolerance":[39],"\u2013":[40,44],"specifically":[41],"surface":[42],"codes":[43],"including":[45],"circuit-based,":[46],"measurement-based":[47],"and":[48,82,117],"fusion-based":[49],"computation,":[51],"as":[52,54,72],"well":[53],"recently":[56],"introduced":[57],"model":[58,123],"Floquet":[60],"codes.":[61],"find":[63],"that":[64,99],"all":[65],"can":[69],"be":[70],"viewed":[71],"flavors":[74],"same":[77],"underlying":[78],"stabilizer":[79,115],"structure,":[81],"sustain":[83],"this":[84,100],"through":[85],"set":[87],"local":[89],"equivalence":[90],"transformations":[91],"allow":[93],"mapping":[94],"between":[95],"flavors.":[96],"anticipate":[98],"perspective":[102],"will":[103],"pave":[104],"way":[106],"to":[107],"transferring":[108],"progress":[109],"among":[110],"views":[113],"help":[118],"researchers":[119],"familiar":[120],"with":[121],"one":[122],"easily":[124],"understand":[125],"others.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
