{"id":"https://openalex.org/W4388185038","doi":"https://doi.org/10.4230/lipics.tqc.2024.6","title":"The Quantum Decoding Problem","display_name":"The Quantum Decoding Problem","publication_year":2023,"publication_date":"2023-10-31","ids":{"openalex":"https://openalex.org/W4388185038","doi":"https://doi.org/10.4230/lipics.tqc.2024.6"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2310.20651","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.20651","pdf_url":"https://arxiv.org/pdf/2310.20651","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2310.20651","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069646107","display_name":"Andr\u00e9 Chailloux","orcid":"https://orcid.org/0000-0001-7714-3112","observed_orcids":["https://orcid.org/0000-0001-7714-3112"]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4405259375","display_name":"COSMIQ: Cryptologie sym\u00e9trique, cryptologie fond\u00e9e sur les codes et information quantique","ror":"https://ror.org/024tnzs33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4405257605","https://openalex.org/I4405259375"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Chailloux, Andr\u00e9","raw_affiliation_strings":["Inria de Paris, France","COSMIQ - Cryptologie syme\u0301trique, cryptologie fonde\u0301e sur les codes et information quantique (48 Rue Barrault, 75013 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria de Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"COSMIQ - Cryptologie syme\u0301trique, cryptologie fonde\u0301e sur les codes et information quantique (48 Rue Barrault, 75013 Paris - France)","institution_ids":["https://openalex.org/I4405259375"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060302693","display_name":"Jean\u2013Pierre Tillich","orcid":"https://orcid.org/0000-0002-1709-1792","observed_orcids":["https://orcid.org/0000-0002-1709-1792"]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4405259375","display_name":"COSMIQ: Cryptologie sym\u00e9trique, cryptologie fond\u00e9e sur les codes et information quantique","ror":"https://ror.org/024tnzs33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4405257605","https://openalex.org/I4405259375"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tillich, Jean-Pierre","raw_affiliation_strings":["Inria de Paris, France","COSMIQ - Cryptologie syme\u0301trique, cryptologie fonde\u0301e sur les codes et information quantique (48 Rue Barrault, 75013 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria de Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"COSMIQ - Cryptologie syme\u0301trique, cryptologie fonde\u0301e sur les codes et information quantique (48 Rue Barrault, 75013 Paris - France)","institution_ids":["https://openalex.org/I4405259375"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"310","issue":"6","first_page":"14","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9101999998092651,"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":0.9101999998092651,"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":0.04639999940991402,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.026200000196695328,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/random-linear-codes","display_name":"random linear codes","score":0.7960000038146973},{"id":"https://openalex.org/keywords/learning-with-errors","display_name":"learning with errors","score":0.7889999747276306},{"id":"https://openalex.org/keywords/lattice-based-cryptography","display_name":"lattice-based cryptography","score":0.8320000171661377},{"id":"https://openalex.org/keywords/quantum-reduction","display_name":"quantum reduction","score":0.5320000052452087},{"id":"https://openalex.org/keywords/quantum-algorithms","display_name":"quantum algorithms","score":0.5509999990463257},{"id":"https://openalex.org/keywords/noise-rate","display_name":"noise rate","score":0.5709999799728394}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6873767375946045},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.5873144865036011},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5639404058456421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5484625697135925},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4902813732624054},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.488073468208313},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.4443674385547638},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4352436363697052},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4335186183452606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4128912091255188},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4028703570365906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33288025856018066},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.24399814009666443},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20853254199028015},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.14447236061096191},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11185100674629211},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:2310.20651","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.20651","pdf_url":"https://arxiv.org/pdf/2310.20651","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04277154v1","doi":null,"is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04277154v1/file/paper.pdf","pdf_url":"https://inria.hal.science/hal-04277154/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theory of Quantum Computation, Communication and Cryptography (TQC 2024), Sep 2024, Okinawa, Japan. pp.14, &#x27E8;10.4230/LIPIcs.TQC.2024.6&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:drops-oai.dagstuhl.de:20676","doi":null,"is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2024.6","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol310-tqc2024/LIPIcs.TQC.2024.6/LIPIcs.TQC.2024.6.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.2310.20651","doi":"https://doi.org/10.48550/arxiv.2310.20651","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2310.20651","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.4230/lipics.tqc.2024.6","doi":"https://doi.org/10.4230/lipics.tqc.2024.6","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.tqc.2024.6","pdf_url":null,"source":{"id":"https://openalex.org/S4393917817","display_name":"Leibniz international proceedings in informatics","issn_l":"1868-8969","issn":["1868-8969"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","norway-1"],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2310.20651","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2310.20651","pdf_url":"https://arxiv.org/pdf/2310.20651","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2191957979","display_name":"Etude de la pile quantique : Algorithmes, mod\u00e8les de calcul et simulation pour l\u2019informatique quantique","funder_award_id":"ANR-22-PETQ-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5463327868","display_name":"Post-quantum padlock for web browser","funder_award_id":"ANR-22-PETQ-0008","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388185038.pdf","grobid_xml":"https://content.openalex.org/works/W4388185038.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1491861813","https://openalex.org/W1965275036","https://openalex.org/W1970630090","https://openalex.org/W1995875735","https://openalex.org/W2061949491","https://openalex.org/W2103398070","https://openalex.org/W2142048307","https://openalex.org/W2170676918","https://openalex.org/W2593446182","https://openalex.org/W2798359482","https://openalex.org/W3170034244","https://openalex.org/W3203077771","https://openalex.org/W4313227608","https://openalex.org/W7076053969"],"related_works":["https://openalex.org/W7223081087","https://openalex.org/W4415337521","https://openalex.org/W7160373198","https://openalex.org/W2964189663","https://openalex.org/W2395502912","https://openalex.org/W7100870665","https://openalex.org/W4401599465","https://openalex.org/W7125622197","https://openalex.org/W3170034244","https://openalex.org/W4404574011"],"abstract_inverted_index":{"One":[0],"of":[1,5,69,107,110,220,254],"the":[2,14,20,49,59,67,97,118,124,129,136,142,150,159,166,182,198,218,229,237,243,252,259,266,273],"founding":[3],"results":[4],"lattice":[6],"based":[7],"cryptography":[8],"is":[9,162],"a":[10,55,76,83,105,111],"quantum":[11,56,64,84,98,167,174,230,240,260,270],"reduction":[12,41,77,216,235,256],"from":[13,78],"Short":[15],"Integer":[16],"Solution":[17],"problem":[18,24,53,86,133,169,183,202,232,262],"to":[19,75,82,116],"Learning":[21],"with":[22,51,54],"Errors":[23],"introduced":[25],"by":[26,34,47],"Regev.":[27],"It":[28],"has":[29],"recently":[30],"been":[31],"pointed":[32],"out":[33],"Chen,":[35],"Liu":[36],"and":[37,113,145,263],"Zhandry":[38],"that":[39,157,181,224],"this":[40,71,95],"can":[42,72,170,184],"be":[43,73,171,187,204],"made":[44],"more":[45],"powerful":[46],"replacing":[48],"learning":[50],"errors":[52,60],"equivalent,":[57],"where":[58,101],"are":[61,103,140],"given":[62,104],"in":[63,94,141,149,173,185,217,233,249],"superposition.":[65],"In":[66],"context":[68,219],"codes,":[70],"adapted":[74],"finding":[79],"short":[80,244,274],"codewords":[81],"decoding":[85,99,132,168,201,231,261],"for":[87,134,193,196,208,228,242,268,272],"random":[88],"linear":[89],"codes.":[90,221],"We":[91,212,222],"therefore":[92],"consider":[93],"paper":[96],"problem,":[100],"we":[102,114,122,126,153,178],"superposition":[106],"noisy":[108],"versions":[109],"codeword":[112,245,275],"want":[115],"recover":[117],"corresponding":[119],"codeword.":[120],"When":[121],"measure":[123],"superposition,":[125],"get":[127],"back":[128],"usual":[130],"classical":[131,200],"which":[135,197],"best":[137,238],"known":[138,239],"algorithms":[139,227,241,271],"constant":[143],"rate":[144,161],"error-rate":[146],"regime":[147],"exponential":[148],"codelength.":[151],"However,":[152],"will":[154],"show":[155,180,223],"here":[156],"when":[158,257],"noise":[160,194],"small":[163],"enough,":[164],"then":[165,213],"solved":[172,188,205],"polynomial":[175],"time.":[176],"Moreover,":[177],"also":[179,264],"principle":[186],"quantumly":[189],"(albeit":[190],"not":[191],"efficiently)":[192],"rates":[195],"associated":[199],"cannot":[203],"at":[206],"all":[207],"information":[209],"theoretic":[210],"reasons.":[211],"revisit":[214],"Regev's":[215,234,255],"using":[225],"our":[226],"matches":[236],"problem.":[246,276],"This":[247],"shows":[248],"some":[250],"sense":[251],"tightness":[253],"considering":[258],"paves":[265],"way":[267],"new":[269]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":5}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2023-11-02T00:00:00"}
