{"id":"https://openalex.org/W4404345200","doi":"https://doi.org/10.1145/3717823.3718195","title":"A General Quantum Duality for Representations of Groups with Applications to Quantum Money, Lightning, and Fire","display_name":"A General Quantum Duality for Representations of Groups with Applications to Quantum Money, Lightning, and Fire","publication_year":2025,"publication_date":"2025-06-15","ids":{"openalex":"https://openalex.org/W4404345200","doi":"https://doi.org/10.1145/3717823.3718195"},"language":"en","primary_location":{"id":"doi:10.1145/3717823.3718195","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3717823.3718195","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 57th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2411.00529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088379993","display_name":"John Bostanci","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]},{"id":"https://openalex.org/I45029084","display_name":"City University of Seattle","ror":"https://ror.org/008a9hf75","country_code":"US","type":"education","lineage":["https://openalex.org/I4210086682","https://openalex.org/I45029084"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Bostanci","raw_affiliation_strings":["Columbia University, New York City, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York City, USA","institution_ids":["https://openalex.org/I78577930","https://openalex.org/I45029084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085902184","display_name":"Barak Nehoran","orcid":"https://orcid.org/0000-0001-7371-0829"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Barak Nehoran","raw_affiliation_strings":["Princeton University, Princeton, USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024874638","display_name":"Mark Zhandry","orcid":"https://orcid.org/0000-0001-7071-6272"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark Zhandry","raw_affiliation_strings":["NTT Research, Sunnyvale, USA"],"affiliations":[{"raw_affiliation_string":"NTT Research, Sunnyvale, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088379993"],"corresponding_institution_ids":["https://openalex.org/I45029084","https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":2.5975,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86189278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"201","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.98580002784729,"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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.98580002784729,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9613000154495239,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9524999856948853,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.776910662651062},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6757678985595703},{"id":"https://openalex.org/keywords/lightning","display_name":"Lightning (connector)","score":0.6131051182746887},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.44280168414115906},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38848188519477844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3679167628288269},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.34800609946250916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3077319264411926}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.776910662651062},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6757678985595703},{"id":"https://openalex.org/C69398868","wikidata":"https://www.wikidata.org/wiki/Q129052","display_name":"Lightning (connector)","level":3,"score":0.6131051182746887},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.44280168414115906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38848188519477844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3679167628288269},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34800609946250916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3077319264411926},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3717823.3718195","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3717823.3718195","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 57th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2411.00529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.00529","pdf_url":"https://arxiv.org/pdf/2411.00529","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2411.00529","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2411.00529","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":"pmh:oai:arXiv.org:2411.00529","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.00529","pdf_url":"https://arxiv.org/pdf/2411.00529","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1171700966","display_name":null,"funder_award_id":"NSF CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3077665131","display_name":null,"funder_award_id":"2016245","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6755165505","display_name":null,"funder_award_id":"award","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8096530914","display_name":"CAREER: New Frontiers in Quantum Protocols, Operator Algebras, and Property Testing","funder_award_id":"2144219","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334164","display_name":"Simons Institute for the Theory of Computing, University of California Berkeley","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404345200.pdf"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W2162106291","https://openalex.org/W4287667285","https://openalex.org/W2159924820","https://openalex.org/W3097730273","https://openalex.org/W3034782340","https://openalex.org/W4399845697","https://openalex.org/W4376639600","https://openalex.org/W2032830293","https://openalex.org/W2527605658","https://openalex.org/W4404345200","https://openalex.org/W4392004678","https://openalex.org/W4399521466","https://openalex.org/W2096150384","https://openalex.org/W4399521738","https://openalex.org/W3091572991","https://openalex.org/W2902614830","https://openalex.org/W2164987874","https://openalex.org/W2290861625","https://openalex.org/W1895284981","https://openalex.org/W4365936073","https://openalex.org/W4404778205","https://openalex.org/W2163261931","https://openalex.org/W4288727608","https://openalex.org/W4401666663","https://openalex.org/W2795600567","https://openalex.org/W4401978469","https://openalex.org/W4365935540","https://openalex.org/W2952345535","https://openalex.org/W4401666588","https://openalex.org/W2986959318","https://openalex.org/W4403207535","https://openalex.org/W2030937251","https://openalex.org/W4405134410","https://openalex.org/W4319323741","https://openalex.org/W1944079109","https://openalex.org/W2951499400","https://openalex.org/W3170037468","https://openalex.org/W1596185498","https://openalex.org/W2168676717","https://openalex.org/W2117584890","https://openalex.org/W2965287894","https://openalex.org/W2503161983","https://openalex.org/W2336770924","https://openalex.org/W4317928268","https://openalex.org/W2418943682","https://openalex.org/W3118434288"],"related_works":["https://openalex.org/W4401541540","https://openalex.org/W4395014167","https://openalex.org/W4244440027","https://openalex.org/W2010879574","https://openalex.org/W2336985578","https://openalex.org/W2097527874","https://openalex.org/W2065825466","https://openalex.org/W2543565668","https://openalex.org/W2159978631","https://openalex.org/W1983191659"],"abstract_inverted_index":{"Aaronson,":[0],"Atia,":[1],"and":[2,13,119,192,196,233],"Susskind":[3],"(2020)":[4],"established":[5],"that":[6,56,212],"efficiently":[7,214,218],"mapping":[8],"between":[9],"quantum":[10,36,100,113,168,188,209,246,256],"states":[11,37,55,211,221],"$|\u03c8\\rangle$":[12],"$|\u03d5\\rangle$":[14],"is":[15,41,67,150],"computationally":[16,68],"equivalent":[17,42,69],"to":[18,43,59,70,73,109,136],"distinguishing":[19],"their":[20,45],"superpositions":[21],"$|\u03c8\\rangle":[22],"\\pm":[23],"|\u03d5\\rangle$.":[24],"We":[25,94,164,204],"generalize":[26],"this":[27],"insight":[28],"into":[29],"a":[30,48,61,65,75,110,124,133,137,200,244,259],"broader":[31],"duality":[32,53,86],"principle,":[33,87],"wherein":[34],"manipulating":[35],"in":[38,47,159],"one":[39],"basis":[40],"extracting":[44],"value":[46],"complementary":[49],"basis.":[50],"This":[51,180],"general":[52],"principle":[54],"the":[57,71,90,96,141,160,206,251],"ability":[58,72],"implement":[60],"unitary":[62,245],"representation":[63],"of":[64,98,102,112,144,208,255],"group":[66,107,117,146,154],"perform":[74],"Fourier":[76],"subspace":[77],"extraction":[78],"from":[79,105,115,171],"its":[80],"irreducible":[81],"representations.":[82],"Building":[83],"on":[84,123,243],"our":[85],"we":[88,131,249],"present":[89,250],"following":[91],"applications:":[92],"*":[93,163,203],"extend":[95],"construction":[97,111,149,170,241,254],"publicly-key":[99],"money":[101],"Zhandry":[103],"(2024)":[104],"Abelian":[106],"actions":[108],"lightning":[114,169,189],"non-Abelian":[116],"actions,":[118,155],"eliminate":[120],"Zhandry's":[121],"reliance":[122],"black-box":[125],"model":[126],"for":[127],"justifying":[128],"security.":[129],"Instead,":[130],"prove":[132],"direct":[134],"reduction":[135],"computational":[138],"assumption":[139],"--":[140],"pre-action":[142],"security":[143,175,186,197],"cryptographic":[145],"actions.":[147],"Our":[148],"realizable":[151],"with":[152,174],"symmetric":[153],"including":[156],"those":[157],"implicit":[158],"McEliece":[161],"cryptosystem.":[162],"provide":[165],"an":[166],"alternative":[167],"one-way":[172],"homomorphisms,":[173],"holding":[176],"under":[177],"certain":[178],"conditions.":[179],"scheme":[181],"shows":[182],"equivalence":[183],"among":[184],"four":[185],"notions:":[187],"security,":[190,195],"worst-case":[191],"average-case":[193],"cloning":[194],"against":[198],"preparing":[199],"canonical":[201],"state.":[202],"formalize":[205],"notion":[207],"fire,":[210,226],"are":[213,229],"clonable,":[215],"but":[216],"not":[217,235],"telegraphable.":[219],"These":[220],"can":[222],"be":[223],"spread":[224],"like":[225],"provided":[227],"they":[228],"kept":[230],"alive":[231],"quantumly":[232],"do":[234],"decohere.":[236],"The":[237],"only":[238],"previously":[239],"known":[240],"relied":[242],"oracle,":[247],"whereas":[248],"first":[252],"candidate":[253],"fire":[257],"using":[258],"classical":[260],"oracle.":[261]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2024-11-14T00:00:00"}