{"id":"https://openalex.org/W7170200353","doi":"https://doi.org/10.4230/lipics.ccc.2026.28","title":"Plethysm is in #BQP","display_name":"Plethysm is in #BQP","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7170200353","doi":"https://doi.org/10.4230/lipics.ccc.2026.28"},"language":"en","primary_location":{"id":"doi:10.4230/lipics.ccc.2026.28","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.ccc.2026.28","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","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":"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"},"type":"conference-paper","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.4230/lipics.ccc.2026.28","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006329724","display_name":"Matthias Christandl","orcid":"https://orcid.org/0000-0003-2281-3355"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Christandl, Matthias","raw_affiliation_strings":["University of Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0000-0003-2281-3355","affiliations":[{"raw_affiliation_string":"University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008766821","display_name":"Aram W. Harrow","orcid":"https://orcid.org/0000-0003-3220-7682"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harrow, Aram W.","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3220-7682","affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049864711","display_name":"Greta Panova","orcid":"https://orcid.org/0000-0003-0785-1580"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panova, Greta","raw_affiliation_strings":["University of Southern California, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0003-0785-1580","affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5143494283","display_name":"Pietro M. Posta","orcid":"https://orcid.org/0009-0004-2997-5538"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Posta, Pietro M.","raw_affiliation_strings":["University of Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0009-0004-2997-5538","affiliations":[{"raw_affiliation_string":"University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016087422","display_name":"Michael Walter","orcid":"https://orcid.org/0000-0002-3073-1408"},"institutions":[{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]},{"id":"https://openalex.org/I4210142743","display_name":"Munich Center for Quantum Science and Technology","ror":"https://ror.org/04xrcta15","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210142743","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["DE","NL"],"is_corresponding":false,"raw_author_name":"Walter, Michael","raw_affiliation_strings":["Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Germany","Munich Center for Quantum Science and Technology (MCQST), Germany","Korteweg-de Vries Institute for Mathematics, Amsterdam, The Netherlands","QuSoft, University of Amsterdam, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-3073-1408","affiliations":[{"raw_affiliation_string":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"Munich Center for Quantum Science and Technology (MCQST), Germany","institution_ids":["https://openalex.org/I4210142743"]},{"raw_affiliation_string":"Korteweg-de Vries Institute for Mathematics, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"QuSoft, University of Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I4210099082","https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":[],"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":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5946999788284302},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5827999711036682},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5666000247001648},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.4489000141620636},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4147000014781952},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.40139999985694885},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3675999939441681},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.3312999904155731}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7197999954223633},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5946999788284302},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5827999711036682},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5666000247001648},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4593000113964081},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.4489000141620636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.429500013589859},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4147000014781952},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.40139999985694885},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3312999904155731},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.3041999936103821},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.29420000314712524},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2806999981403351},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C19754495","wikidata":"https://www.wikidata.org/wiki/Q3435924","display_name":"Computational problem","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.2614000141620636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4230/lipics.ccc.2026.28","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.ccc.2026.28","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"doi:10.4230/lipics.ccc.2026.28","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.ccc.2026.28","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","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":"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Some":[0],"representation-theoretic":[1,80,162],"multiplicities,":[2,58],"such":[3,59],"as":[4,60,116],"the":[5,8,20,53,61,69,87,109,134,144,169,178,183],"Kostka":[6],"and":[7,37,46,64,122,173,191],"Littlewood-Richardson":[9],"coefficients,":[10],"admit":[11],"a":[12,76,156],"combinatorial":[13],"interpretation":[14],"that":[15,75,89,161,167,182],"places":[16],"their":[17],"computation":[18],"in":[19,35,83,93,99,165,189],"complexity":[21,44,55,111],"class":[22,78],"#\ud835\uddaf.":[23],"Whether":[24],"this":[25],"holds":[26],"more":[27],"generally":[28],"is":[29,82,148],"considered":[30],"an":[31],"important":[32],"open":[33],"problem":[34],"mathematics":[36],"computer":[38],"science,":[39],"with":[40],"relevance":[41],"for":[42,150,159],"geometric":[43],"theory":[45],"quantum":[47,54,110],"information.":[48],"Recent":[49],"work":[50,138],"has":[51,139],"investigated":[52],"of":[56,68,79,112,133,171],"particular":[57],"Kronecker":[62],"coefficients":[63,91,115],"certain":[65,100,197],"special":[66,117],"cases":[67],"plethysm":[70,90],"coefficients.":[71],"Here,":[72],"we":[73],"show":[74],"broad":[77],"multiplicities":[81,163,185],"#BQP.":[84],"This":[85],"includes":[86],"result":[88,129],"are":[92,164,186,199],"#BQP,":[94],"which":[95,147],"was":[96],"only":[97],"known":[98,106],"cases.":[101],"It":[102],"also":[103,187],"implies":[104],"all":[105],"results":[107],"on":[108,143],"previously":[113],"studied":[114],"cases,":[118],"thus":[119],"unifying,":[120],"simplifying,":[121],"extending":[123],"prior":[124],"work.":[125,152,175],"We":[126,153,176],"obtain":[127,192],"our":[128,151,172],"by":[130,180],"multiple":[131],"applications":[132],"Schur":[135],"transform;":[136],"recent":[137],"improved":[140],"its":[141],"dependence":[142],"local":[145],"dimension,":[146],"crucial":[149],"further":[154],"describe":[155],"general":[157],"approach":[158],"showing":[160,181],"#BQP":[166],"captures":[168],"approaches":[170],"previous":[174],"complement":[177],"above":[179],"same":[184],"naturally":[188],"GapP":[190],"polynomial-time":[193],"classical":[194],"algorithms":[195],"when":[196],"parameters":[198],"fixed.":[200]},"counts_by_year":[],"updated_date":"2026-07-24T06:07:23.975819","created_date":"2026-07-24T00:00:00"}