{"id":"https://openalex.org/W2080644448","doi":"https://doi.org/10.1109/isit.2013.6620245","title":"Short random circuits define good quantum error correcting codes","display_name":"Short random circuits define good quantum error correcting codes","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2080644448","doi":"https://doi.org/10.1109/isit.2013.6620245","mag":"2080644448"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620245","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1312.7646","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Winton Brown","orcid":null},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Winton Brown","raw_affiliation_strings":["D\u00e9partement de Physique, Universit\u00e9 de Sherbrooke, Canada"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Physique, Universit\u00e9 de Sherbrooke, Canada","institution_ids":["https://openalex.org/I135117807"]}]},{"author_position":"last","author":{"id":null,"display_name":"Omar Fawzi","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Omar Fawzi","raw_affiliation_strings":["Institute for Theoretical Physics, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135117807"],"apc_list":null,"apc_paid":null,"fwci":0.9963,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.8304946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"346","last_page":"350"},"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":0.9997000098228455,"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":0.9987000226974487,"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":0.593999981880188},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.5422000288963318},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4814000129699707},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.47530001401901245},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4406999945640564},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.413100004196167},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.38190001249313354},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.375900000333786}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.593999981880188},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.5422000288963318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4828999936580658},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4814000129699707},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.47530001401901245},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4406999945640564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43860000371932983},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.413100004196167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3822999894618988},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.38190001249313354},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.375900000333786},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.36660000681877136},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3352000117301941},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33469998836517334},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.3280999958515167},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.32499998807907104},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.31369999051094055},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30649998784065247},{"id":"https://openalex.org/C90702460","wikidata":"https://www.wikidata.org/wiki/Q1055112","display_name":"Circuit complexity","level":3,"score":0.3059000074863434},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2833999991416931},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2596000134944916}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2013.6620245","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1312.7646","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1312.7646","pdf_url":"https://arxiv.org/pdf/1312.7646","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1312.7646","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1312.7646","pdf_url":"https://arxiv.org/pdf/1312.7646","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1848366941","https://openalex.org/W1965035185","https://openalex.org/W1969623443","https://openalex.org/W1979226147","https://openalex.org/W1993813188","https://openalex.org/W2019280973","https://openalex.org/W2059045419","https://openalex.org/W2060887031","https://openalex.org/W2070375169","https://openalex.org/W2071764857","https://openalex.org/W2083019346","https://openalex.org/W2091331782","https://openalex.org/W2103897251","https://openalex.org/W2763302490","https://openalex.org/W6646475401"],"related_works":[],"abstract_inverted_index":{"We":[0,15],"study":[1],"the":[2],"encoding":[3],"complexity":[4],"for":[5],"quantum":[6],"error":[7],"correcting":[8],"codes":[9],"with":[10,21,38],"large":[11],"rate":[12],"and":[13],"distance.":[14],"prove":[16,56],"that":[17,57],"random":[18],"Clifford":[19],"circuits":[20,59],"O(nlog":[22],"<sup":[23,66],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24,50,67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[25],"n)":[26],"gates":[27],"can":[28],"be":[29],"used":[30],"to":[31],"encode":[32],"k":[33],"qubits":[34,37],"in":[35],"n":[36],"a":[39,62],"distance":[40],"d":[41],"provided":[42],"k/n":[43],"<;":[44],"1":[45],"-":[46],"d/n":[47],"log":[48],"<sub":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[51],"3-h(d/n).":[52],"In":[53],"addition,":[54],"we":[55],"such":[58],"typically":[60],"have":[61],"depth":[63],"of":[64],"O(log":[65],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[68],"n).":[69]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
