{"id":"https://openalex.org/W2138014387","doi":"https://doi.org/10.1109/tit.2014.2357029","title":"Quantum Synchronizable Codes From Finite Geometries","display_name":"Quantum Synchronizable Codes From Finite Geometries","publication_year":2014,"publication_date":"2014-09-10","ids":{"openalex":"https://openalex.org/W2138014387","doi":"https://doi.org/10.1109/tit.2014.2357029","mag":"2138014387"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2357029","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2357029","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/1311.3416","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065086496","display_name":"Yuichiro Fujiwara","orcid":"https://orcid.org/0000-0002-4458-7996"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuichiro Fujiwara","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, USA","[Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083955784","display_name":"Peter Vandendriessche","orcid":"https://orcid.org/0000-0002-3407-6439"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Peter Vandendriessche","raw_affiliation_strings":["Department of Mathematics, Ghent University, Ghent, Belgium","Department of Mathematics Ghent University Ghent Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Mathematics Ghent University Ghent Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065086496"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":2.5372,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.91369321,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"60","issue":"11","first_page":"7345","last_page":"7354"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9951000213623047,"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/quantum","display_name":"Quantum","score":0.4865185618400574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3727903664112091},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35461992025375366},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.31547480821609497}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4865185618400574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3727903664112091},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35461992025375366},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31547480821609497}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2014.2357029","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2357029","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:1311.3416","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.3416","pdf_url":"https://arxiv.org/pdf/1311.3416","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:authors.library.caltech.edu:52602","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20141211-111058177","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.766.188","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.766.188","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1311.3416.pdf","raw_type":"text"},{"id":"pmh:oai:archive.ugent.be:8531962","is_oa":false,"landing_page_url":"http://hdl.handle.net/1854/LU-8531962","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1557-9654","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1311.3416","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1311.3416","pdf_url":"https://arxiv.org/pdf/1311.3416","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W348408967","https://openalex.org/W1487849838","https://openalex.org/W1556443961","https://openalex.org/W1556782625","https://openalex.org/W1581232847","https://openalex.org/W1589905506","https://openalex.org/W1606480398","https://openalex.org/W1658752505","https://openalex.org/W1980159464","https://openalex.org/W2030243808","https://openalex.org/W2042474962","https://openalex.org/W2046109412","https://openalex.org/W2060784542","https://openalex.org/W2060887031","https://openalex.org/W2061795127","https://openalex.org/W2087256203","https://openalex.org/W2092938635","https://openalex.org/W2093162586","https://openalex.org/W2109496295","https://openalex.org/W2113451741","https://openalex.org/W2114207424","https://openalex.org/W2114869758","https://openalex.org/W2124113125","https://openalex.org/W2131690084","https://openalex.org/W2137987775","https://openalex.org/W2143824883","https://openalex.org/W2150972708","https://openalex.org/W3100206575","https://openalex.org/W3101905439","https://openalex.org/W3104519615","https://openalex.org/W4210992409","https://openalex.org/W4234803039","https://openalex.org/W4249409771","https://openalex.org/W6611624143","https://openalex.org/W6633362994"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036"],"abstract_inverted_index":{"Quantum":[0],"synchronizable":[1,68,92,135,175],"error-correcting":[2,7,69],"codes":[3,8,62,70,85,93,136,139,151,185,199,212,227],"are":[4,10,53,80,87,142,232],"special":[5],"quantum":[6,18,67,91,134,156,174],"that":[9,63,86,231],"designed":[11],"to":[12,65,89,110,165,210,234],"correct":[13],"both":[14,54],"the":[15,51,119,126,161,170,180,196,203,211,224],"effect":[16],"of":[17,42,83,122,129,172,183,195],"noise":[19],"on":[20,214,223],"qubits":[21],"and":[22,47,56,98,112,159,200,239],"misalignment":[23],"in":[24,31,155,186],"block":[25],"synchronization.":[26],"It":[27],"is":[28,71],"known":[29,233],"that,":[30],"principle,":[32],"such":[33,60],"a":[34,40,43,73,220],"code":[35,46,105],"can":[36],"be":[37,235],"constructed":[38],"through":[39],"combination":[41],"classical":[44,61,84,187],"linear":[45],"its":[48],"subcode":[49],"if":[50],"two":[52,81],"cyclic":[55,138,184,226],"dual-containing.":[57],"However,":[58],"finding":[59],"lead":[64],"promising":[66],"not":[72,143],"trivial":[74],"task.":[75],"In":[76,115,208],"fact,":[77],"although":[78],"there":[79],"families":[82],"proved":[88],"produce":[90],"with":[94],"good":[95,153,173],"minimum":[96,204,243],"distances":[97],"highest":[99],"possible":[100,163],"tolerance":[101],"against":[102],"misalignment,":[103],"their":[104,241],"lengths":[106,141],"have":[107],"been":[108],"restricted":[109],"primes":[111,144],"Mersenne":[113,146],"numbers.":[114,147],"this":[116],"paper,":[117],"examining":[118],"incidence":[120],"vectors":[121],"projective":[123,149,215],"spaces":[124,230],"over":[125],"finite":[127,197],"fields":[128],"characteristic":[130],"2,":[131],"we":[132,217],"give":[133],"from":[137,228],"whose":[140],"or":[145],"These":[148],"geometric":[150,198],"achieve":[152],"performance":[154],"error":[157],"correction":[158],"possess":[160],"best":[162],"ability":[164],"recover":[166],"synchronization,":[167],"thereby":[168],"enriching":[169],"variety":[171],"codes.":[176],"We":[177],"also":[178],"extend":[179],"current":[181],"knowledge":[182],"coding":[188],"theory":[189],"by":[190],"explicitly":[191],"giving":[192],"generator":[193],"polynomials":[194],"completely":[201],"characterizing":[202],"weight":[205],"nonzero":[206],"codewords.":[207],"addition":[209],"based":[213],"spaces,":[216],"carry":[218],"out":[219],"similar":[221],"analysis":[222],"well-known":[225],"Euclidean":[229],"majority":[236],"logic":[237],"decodable":[238],"determine":[240],"exact":[242],"distances.":[244]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}