{"id":"https://openalex.org/W7155032723","doi":"https://doi.org/10.48550/arxiv.2604.18283","title":"On quantum functionals for higher-order tensors","display_name":"On quantum functionals for higher-order tensors","publication_year":2026,"publication_date":"2026-04-20","ids":{"openalex":"https://openalex.org/W7155032723","doi":"https://doi.org/10.48550/arxiv.2604.18283"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.18283","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.18283","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":null,"license_id":null,"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.2604.18283","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024694940","display_name":"Alonso Botero","orcid":"https://orcid.org/0000-0003-0055-8787"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Botero, Alonso","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006329724","display_name":"Matthias Christandl","orcid":"https://orcid.org/0000-0003-2281-3355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christandl, Matthias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014382888","display_name":"Thomas C. Fraser","orcid":"https://orcid.org/0000-0002-1351-0005"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fraser, Thomas C.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114055481","display_name":"Itai Leigh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leigh, Itai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011111072","display_name":"Harold Nieuwboer","orcid":"https://orcid.org/0000-0003-3627-3636"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nieuwboer, Harold","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5024694940"],"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":0.46959999203681946,"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":0.46959999203681946,"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/T12303","display_name":"Tensor decomposition and applications","score":0.15860000252723694,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.06469999998807907,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6097999811172485},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6086000204086304},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5171999931335449},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.4300999939441681},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.3463999927043915},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.34060001373291016},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.33709999918937683},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.32429999113082886}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6937000155448914},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6097999811172485},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6086000204086304},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5171999931335449},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.4300999939441681},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.3463999927043915},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.33709999918937683},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.32429999113082886},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.30000001192092896},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2793999910354614},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.2696000039577484},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.262800008058548},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.26030001044273376},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.18283","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.18283","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.18283","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.18283","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"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":{"Upper":[0],"and":[1,9,62,74,79,116,145,183,194,197],"lower":[2,75,117,146,184],"quantum":[3,40,76,90,118,147,173],"functionals,":[4],"introduced":[5],"by":[6,26,39],"Christandl,":[7],"Vrana":[8],"Zuiddam":[10],"(STOC":[11],"2018,":[12],"J.":[13],"Amer.":[14],"Math.":[15],"Soc.":[16],"2023),":[17],"are":[18,80],"families":[19],"of":[20,23,32,34,59,178],"monotone":[21],"functions":[22],"tensors":[24,58,179],"indexed":[25],"a":[27],"weighting":[28],"on":[29,67,103,175,180],"the":[30,35,72,88,93,114,172,176,204],"set":[31,177,187],"subsets":[33],"tensor":[36,50],"legs.":[37],"Inspired":[38],"information":[41],"theory,":[42],"they":[43,155],"were":[44],"crafted":[45],"as":[46],"obstructions":[47],"to":[48,129,190],"asymptotic":[49,85,94,104],"transformations,":[51],"relevant":[52],"in":[53,83],"algebraic":[54],"complexity":[55],"theory.":[56],"For":[57],"order":[60],"three,":[61],"more":[63,126],"generally":[64,149],"for":[65,69,122,135],"weightings":[66,99],"singletons":[68],"higher-order":[70,136],"tensors,":[71],"upper":[73,101,115,144,182],"functionals":[77,91,119,148,174],"coincide":[78,121],"spectral":[81,132,158,168],"points":[82],"Strassen's":[84],"spectrum.":[86],"Moreover,":[87],"singleton":[89,205],"characterize":[92],"slice":[95],"rank,":[96],"whereas":[97],"general":[98],"provide":[100],"bounds":[102],"partition":[105],"rank.":[106],"It":[107],"has":[108],"been":[109],"an":[110],"open":[111],"question":[112],"whether":[113],"also":[120],"other":[123],"cases,":[124],"or":[125],"generally,":[127],"how":[128],"construct":[130],"further":[131],"points,":[133,169],"especially":[134],"tensors.":[137],"In":[138],"this":[139,161],"work,":[140],"we":[141,162],"show":[142],"that":[143,154,164],"do":[150],"not":[151],"coincide,":[152],"but":[153],"anchor":[156],"new":[157,167],"points.":[159],"With":[160],"mean":[163],"there":[165],"exist":[166],"which":[170,181],"equal":[171],"coincide.":[185],"The":[186],"is":[188],"shown":[189],"include":[191],"embedded":[192],"three-tensors":[193],"W-like":[195],"states":[196],"concerns":[198],"all":[199],"laminar":[200],"weightings,":[201],"significantly":[202],"extending":[203],"case.":[206]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2026-04-22T00:00:00"}
