{"id":"https://openalex.org/W2616493737","doi":"https://doi.org/10.1109/tit.2013.2292061","title":"Quantum LDPC Codes With Positive Rate and Minimum Distance Proportional to the Square Root of the Blocklength","display_name":"Quantum LDPC Codes With Positive Rate and Minimum Distance Proportional to the Square Root of the Blocklength","publication_year":2014,"publication_date":"2014-01-24","ids":{"openalex":"https://openalex.org/W2616493737","doi":"https://doi.org/10.1109/tit.2013.2292061","mag":"2616493737"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2013.2292061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2292061","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0903.0566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jean-Pierre Tillich","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Pierre Tillich","raw_affiliation_strings":["INRIA, Projet Secret, Le Chesnay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA, Projet Secret, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":null,"display_name":"Gilles Zemor","orcid":null},"institutions":[{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Zemor","raw_affiliation_strings":["Talence Cedex, Institut de Math\u00e9matiques de Bordeaux, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Talence Cedex, Institut de Math\u00e9matiques de Bordeaux, France","institution_ids":["https://openalex.org/I4210166017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":8.8798,"has_fulltext":false,"cited_by_count":261,"citation_normalized_percentile":{"value":0.97859508,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"60","issue":"2","first_page":"1193","last_page":"1202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.6182000041007996,"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":0.6182000041007996,"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":0.2442999929189682,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.037300001829862595,"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/square-root","display_name":"Square root","score":0.7111999988555908},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.7062000036239624},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.5839999914169312},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5647000074386597},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4496999979019165},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.42730000615119934},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4009999930858612},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.37439998984336853}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.71670001745224},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.7111999988555908},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.7062000036239624},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.5839999914169312},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5647000074386597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4993000030517578},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4740000069141388},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4496999979019165},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.42730000615119934},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4009999930858612},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.37439998984336853},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.3628999888896942},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.3504999876022339},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3343000113964081},{"id":"https://openalex.org/C202932441","wikidata":"https://www.wikidata.org/wiki/Q55611017","display_name":"Forward error correction","level":3,"score":0.3319999873638153},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.30630001425743103},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2727000117301941},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2013.2292061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2292061","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0903.0566","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.0566","pdf_url":"https://arxiv.org/pdf/0903.0566","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:HAL:hal-00931764v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00931764","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2014, 60 (2), pp.1193-1202. ⟨10.1109/TIT.2013.2292061⟩","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/114888","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/114888","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/189471","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/189471","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0903.0566","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.0566","pdf_url":"https://arxiv.org/pdf/0903.0566","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":34,"referenced_works":["https://openalex.org/W1481099449","https://openalex.org/W1531594186","https://openalex.org/W1805478420","https://openalex.org/W1956864028","https://openalex.org/W1970302872","https://openalex.org/W1971516277","https://openalex.org/W1974000719","https://openalex.org/W1975088395","https://openalex.org/W2003797908","https://openalex.org/W2008801563","https://openalex.org/W2009989296","https://openalex.org/W2013754283","https://openalex.org/W2070745270","https://openalex.org/W2077360472","https://openalex.org/W2098465576","https://openalex.org/W2103532256","https://openalex.org/W2109496295","https://openalex.org/W2114207424","https://openalex.org/W2119314900","https://openalex.org/W2123809589","https://openalex.org/W2124800360","https://openalex.org/W2131690084","https://openalex.org/W2135273380","https://openalex.org/W2137160281","https://openalex.org/W2146443256","https://openalex.org/W2149323415","https://openalex.org/W2162549872","https://openalex.org/W2167413626","https://openalex.org/W2169681481","https://openalex.org/W4298360881","https://openalex.org/W4300188436","https://openalex.org/W6636631071","https://openalex.org/W6689278888","https://openalex.org/W6735166788"],"related_works":[],"abstract_inverted_index":{"The":[0],"current":[1],"best":[2],"asymptotic":[3],"lower":[4],"bound":[5],"on":[6],"the":[7,22,39,45,49],"minimum":[8,40],"distance":[9,41],"of":[10,28,48],"quantum":[11,29],"LDPC":[12,30],"codes":[13,31],"with":[14,32],"a":[15,26],"fixed":[16,33],"non-zero":[17,34],"rate":[18,35],"is":[19],"logarithmic":[20],"in":[21],"blocklength.":[23,50],"We":[24],"propose":[25],"construction":[27],"and":[36],"prove":[37],"that":[38],"grows":[42],"proportionally":[43],"to":[44],"square":[46],"root":[47]},"counts_by_year":[{"year":2026,"cited_by_count":20},{"year":2025,"cited_by_count":79},{"year":2024,"cited_by_count":40},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":26},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2017-05-26T00:00:00"}