{"id":"https://openalex.org/W7139925434","doi":"https://doi.org/10.48550/arxiv.2603.19110","title":"Post-Quantum Cryptography from Quantum Stabilizer Decoding","display_name":"Post-Quantum Cryptography from Quantum Stabilizer Decoding","publication_year":2026,"publication_date":"2026-03-19","ids":{"openalex":"https://openalex.org/W7139925434","doi":"https://doi.org/10.48550/arxiv.2603.19110"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.19110","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.19110","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.19110","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5130213722","display_name":"Jonathan Z. Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lu, Jonathan Z.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087914327","display_name":"Alexander Poremba","orcid":"https://orcid.org/0000-0002-7330-1539"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Poremba, Alexander","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077718480","display_name":"Yihui Quek","orcid":"https://orcid.org/0000-0002-1227-0804"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Quek, Yihui","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5114657998","display_name":"Akshar Ramkumar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ramkumar, Akshar","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5130213722"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"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":0.4616999924182892,"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":0.4616999924182892,"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/T10237","display_name":"Cryptography and Data Security","score":0.24690000712871552,"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/T11130","display_name":"Coding theory and cryptography","score":0.07500000298023224,"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/decoding-methods","display_name":"Decoding methods","score":0.609499990940094},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5214999914169312},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.508899986743927},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5042999982833862},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"Quantum cryptography","score":0.4544000029563904},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4219000041484833},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.41690000891685486},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.3894999921321869}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.609499990940094},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5214999914169312},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.508899986743927},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5042999982833862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46860000491142273},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.4544000029563904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4361000061035156},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.41690000891685486},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38960000872612},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3894999921321869},{"id":"https://openalex.org/C108277079","wikidata":"https://www.wikidata.org/wiki/Q7233576","display_name":"Post-quantum cryptography","level":4,"score":0.36640000343322754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3531000018119812},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.3522000014781952},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.35120001435279846},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.3125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28279998898506165},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2822999954223633},{"id":"https://openalex.org/C182548165","wikidata":"https://www.wikidata.org/wiki/Q2261483","display_name":"Scrambling","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2721000015735626},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.2524000108242035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.19110","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.19110","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.19110","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.19110","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"score":0.722872793674469,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Post-quantum":[0],"cryptography":[1],"currently":[2],"rests":[3],"on":[4],"a":[5,34,52,68,170,184,230],"small":[6],"number":[7],"of":[8,17,55,105,113,216,233,251],"hardness":[9,104],"assumptions,":[10],"posing":[11],"significant":[12,221],"risks":[13],"should":[14],"any":[15],"one":[16],"them":[18,243],"be":[19],"compromised.":[20],"This":[21,65],"vulnerability":[22],"motivates":[23],"the":[24,56,102,110,139,166,213,217],"search":[25],"for":[26,37,236,249],"new":[27,172,231],"and":[28,88,120,146,241],"cryptographically":[29],"versatile":[30],"assumptions":[31],"that":[32,45,101,156,165],"make":[33],"convincing":[35],"case":[36],"quantum":[38,48,53,77,106,188,214],"hardness.":[39],"In":[40],"this":[41,208],"work,":[42],"we":[43,182,228],"argue":[44],"decoding":[46,108,158,190],"random":[47,187],"stabilizer":[49,107,157,189],"codes":[50],"--":[51,60],"analog":[54],"well-studied":[57],"LPN":[58],"problem":[59,168,194],"is":[61,73,149,200,210],"an":[62,81,192],"excellent":[63],"candidate.":[64],"task":[66],"occupies":[67],"unique":[69],"middle":[70],"ground:":[71],"it":[72,219],"inherently":[74],"native":[75],"to":[76,162,191,212,223,244],"computation,":[78],"yet":[79],"admits":[80],"equivalent":[82],"formulation":[83],"with":[84,202],"purely":[85],"classical":[86,114],"input":[87],"output,":[89],"as":[90,124,126,142],"recently":[91],"shown":[92],"by":[93],"Khesin":[94],"et":[95],"al.":[96],"(STOC":[97],"'26).":[98],"We":[99,151],"prove":[100],"average-case":[103,193],"implies":[109],"core":[111],"primitives":[112],"Cryptomania,":[115],"including":[116],"public-key":[117],"encryption":[118],"(PKE)":[119],"oblivious":[121],"transfer":[122],"(OT),":[123],"well":[125],"one-way":[127],"functions.":[128],"Our":[129,175],"constructions":[130],"are":[131,179],"moreover":[132],"practical:":[133],"our":[134,147,252],"PKE":[135],"scheme":[136],"achieves":[137],"essentially":[138],"same":[140],"efficiency":[141],"state-of-the-art":[143],"LPN-based":[144],"PKE,":[145],"OT":[148],"round-optimal.":[150],"also":[152],"provide":[153],"substantial":[154],"evidence":[155],"does":[159],"not":[160],"reduce":[161],"LPN,":[163,197],"suggesting":[164],"former":[167],"constitutes":[169],"genuinely":[171],"post-quantum":[173],"assumption.":[174],"primary":[176],"technical":[177],"contributions":[178],"twofold.":[180],"First,":[181],"give":[183],"reduction":[185],"from":[186],"closely":[195],"resembling":[196],"but":[198],"which":[199],"equipped":[201],"additional":[203],"symplectic":[204],"algebraic":[205],"structure.":[206],"While":[207],"structure":[209],"essential":[211],"nature":[215],"problem,":[218],"raises":[220],"barriers":[222],"cryptographic":[224],"security":[225,247],"reductions.":[226],"Second,":[227],"develop":[229],"suit":[232],"scrambling":[234],"techniques":[235],"such":[237],"structured":[238],"linear":[239],"spaces,":[240],"use":[242],"produce":[245],"rigorous":[246],"proofs":[248],"all":[250],"constructions.":[253]},"counts_by_year":[],"updated_date":"2026-03-21T06:36:02.116451","created_date":"2026-03-21T00:00:00"}
