{"id":"https://openalex.org/W4387909106","doi":"https://doi.org/10.22331/q-2023-10-24-1153","title":"Partitioning qubits in hypergraph product codes to implement logical gates","display_name":"Partitioning qubits in hypergraph product codes to implement logical gates","publication_year":2023,"publication_date":"2023-10-24","ids":{"openalex":"https://openalex.org/W4387909106","doi":"https://doi.org/10.22331/q-2023-10-24-1153"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-10-24-1153","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-24-1153","pdf_url":"https://quantum-journal.org/papers/q-2023-10-24-1153/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-2023-10-24-1153/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069063208","display_name":"Armanda O. Quintavalle","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]},{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["DE","GB"],"is_corresponding":true,"raw_author_name":"Armanda O. Quintavalle","raw_affiliation_strings":["Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany","Department of Physics & Astronomy, University of Sheffield, Sheffield, S3 7RH, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Department of Physics & Astronomy, University of Sheffield, Sheffield, S3 7RH, United Kingdom","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058439987","display_name":"Paul Webster","orcid":"https://orcid.org/0000-0002-1980-6931"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210129739","display_name":"ARC Centre of Excellence for Engineered Quantum Systems","ror":"https://ror.org/03rtykw43","country_code":"AU","type":"facility","lineage":["https://openalex.org/I1337719021","https://openalex.org/I165143802","https://openalex.org/I2801453606","https://openalex.org/I4210129739","https://openalex.org/I4210132349"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Paul Webster","raw_affiliation_strings":["Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, NSW 2006, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I4210129739","https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039026944","display_name":"Michael Vasmer","orcid":"https://orcid.org/0000-0002-6711-5924"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael Vasmer","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada","Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada","institution_ids":["https://openalex.org/I183974707"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069063208"],"corresponding_institution_ids":["https://openalex.org/I75951250","https://openalex.org/I91136226"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":535,"currency":"EUR","value_usd":576},"fwci":5.9157,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.97054064,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"7","issue":null,"first_page":"1153","last_page":"1153"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9983999729156494,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9945999979972839,"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/hypergraph","display_name":"Hypergraph","score":0.49054449796676636},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.48396921157836914},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.48375940322875977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4548455476760864},{"id":"https://openalex.org/keywords/transversal","display_name":"Transversal (combinatorics)","score":0.4502892792224884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3701004385948181},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3459429144859314},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32489877939224243},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32285553216934204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30901962518692017},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1345265805721283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12051570415496826}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.49054449796676636},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.48396921157836914},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.48375940322875977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4548455476760864},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.4502892792224884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3701004385948181},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3459429144859314},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32489877939224243},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32285553216934204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30901962518692017},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1345265805721283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12051570415496826},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2023-10-24-1153","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-24-1153","pdf_url":"https://quantum-journal.org/papers/q-2023-10-24-1153/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:2d9f028aab784a3cb087918647deda9c","is_oa":true,"landing_page_url":"https://doaj.org/article/2d9f028aab784a3cb087918647deda9c","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 7, p 1153 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-10-24-1153","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-24-1153","pdf_url":"https://quantum-journal.org/papers/q-2023-10-24-1153/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":0.4699999988079071,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320312716","display_name":"Innovation, Science and Economic Development Canada","ror":"https://ror.org/03zp01h17"},{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320324521","display_name":"Freie Universit\u00e4t Berlin","ror":null},{"id":"https://openalex.org/F4320331462","display_name":"Institut P\u00e9rim\u00e8tre de physique th\u00e9orique","ror":"https://ror.org/013m0ej23"},{"id":"https://openalex.org/F4320331473","display_name":"Ministry of Colleges and Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387909106.pdf"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W1490521149","https://openalex.org/W1929354142","https://openalex.org/W1956864028","https://openalex.org/W1959392488","https://openalex.org/W1971861950","https://openalex.org/W1976677460","https://openalex.org/W1984436207","https://openalex.org/W2014633300","https://openalex.org/W2048984244","https://openalex.org/W2054620262","https://openalex.org/W2060532199","https://openalex.org/W2070421562","https://openalex.org/W2077360472","https://openalex.org/W2079294297","https://openalex.org/W2092938635","https://openalex.org/W2107817077","https://openalex.org/W2114207424","https://openalex.org/W2131690084","https://openalex.org/W2135273380","https://openalex.org/W2145801399","https://openalex.org/W2167927798","https://openalex.org/W2169656062","https://openalex.org/W2295938918","https://openalex.org/W2520649408","https://openalex.org/W2616493737","https://openalex.org/W2616847007","https://openalex.org/W2765570517","https://openalex.org/W2883393968","https://openalex.org/W2945632438","https://openalex.org/W2946582523","https://openalex.org/W2957709523","https://openalex.org/W2964140423","https://openalex.org/W2973363947","https://openalex.org/W2982169647","https://openalex.org/W3009119400","https://openalex.org/W3022718148","https://openalex.org/W3088153896","https://openalex.org/W3089458228","https://openalex.org/W3092400753","https://openalex.org/W3098126107","https://openalex.org/W3099109937","https://openalex.org/W3100500243","https://openalex.org/W3102818703","https://openalex.org/W3105292588","https://openalex.org/W3105445031","https://openalex.org/W3105633983","https://openalex.org/W3112993639","https://openalex.org/W3128719573","https://openalex.org/W3129067522","https://openalex.org/W3154862842","https://openalex.org/W3190051394","https://openalex.org/W3205637696","https://openalex.org/W3207755657","https://openalex.org/W3213933684","https://openalex.org/W3216521614","https://openalex.org/W3216894905","https://openalex.org/W4210694755","https://openalex.org/W4282924009","https://openalex.org/W4285277931","https://openalex.org/W4313227180"],"related_works":["https://openalex.org/W2772332644","https://openalex.org/W1603162376","https://openalex.org/W2914515209","https://openalex.org/W1564907238","https://openalex.org/W2366416021","https://openalex.org/W2153126276","https://openalex.org/W4234443931","https://openalex.org/W1570878271","https://openalex.org/W1486064475","https://openalex.org/W3009653673"],"abstract_inverted_index":{"The":[0],"promise":[1],"of":[2,14,24,36,42,68,78,87,96,126,135,141],"high-rate":[3],"low-density":[4],"parity":[5],"check":[6],"(LDPC)":[7],"codes":[8,47,104],"to":[9,111],"substantially":[10],"reduce":[11],"the":[12,33,40,55,76,84,145,159],"overhead":[13],"fault-tolerant":[15,22,37],"quantum":[16,163],"computation":[17],"depends":[18],"on":[19,27,45,117,165],"constructing":[20],"efficient,":[21],"implementations":[23],"logical":[25,85,112,119,142],"gates":[26,31,44,57,106,137,154],"such":[28],"codes.":[29,70],"Transversal":[30],"are":[32],"simplest":[34],"type":[35],"gate,":[38],"but":[39],"potential":[41],"transversal":[43,56,105,127,153],"LDPC":[46,69,166],"has":[48],"hitherto":[49],"been":[50],"largely":[51],"neglected.":[52],"We":[53,99,149],"investigate":[54],"that":[58,93,101,124,152],"can":[59,107,155],"be":[60,95,156],"implemented":[61],"in":[62,102,144],"hypergraph":[63,88],"product":[64,89],"codes,":[65,90,167],"a":[66,79,91],"class":[67],"Our":[71],"analysis":[72],"is":[73],"aided":[74],"by":[75],"construction":[77],"symplectic":[80],"canonical":[81],"basis":[82,160],"for":[83,161],"operators":[86],"result":[92],"may":[94],"independent":[97],"interest.":[98],"show":[100,123],"these":[103],"implement":[108],"Hadamard":[109],"(up":[110],"SWAP":[113],"gates)":[114],"and":[115],"control-Z":[116],"all":[118],"qubits.":[120],"Moreover,":[121],"we":[122],"sequences":[125],"operations,":[128],"interleaved":[129],"with":[130,170],"error":[131],"correction,":[132],"allow":[133],"implementation":[134],"entangling":[136],"between":[138],"arbitrary":[139],"pairs":[140],"qubits":[143],"same":[146],"code":[147],"block.":[148],"thereby":[150],"demonstrate":[151],"used":[157],"as":[158],"universal":[162],"computing":[164],"when":[168],"supplemented":[169],"state":[171],"injection.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":5}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
