{"id":"https://openalex.org/W4405279841","doi":"https://doi.org/10.22331/q-2024-12-11-1560","title":"The resource theory of tensor networks","display_name":"The resource theory of tensor networks","publication_year":2024,"publication_date":"2024-12-11","ids":{"openalex":"https://openalex.org/W4405279841","doi":"https://doi.org/10.22331/q-2024-12-11-1560"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-12-11-1560","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-12-11-1560","pdf_url":"https://quantum-journal.org/papers/q-2024-12-11-1560/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-12-11-1560/pdf/","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":"Matthias Christandl","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080005389","display_name":"Vladimir Lysikov","orcid":"https://orcid.org/0000-0002-7816-6524"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vladimir Lysikov","raw_affiliation_strings":["Faculty of Computer Science, Ruhr University Bochum, Universit\u00e4tsstra\u00dfe 150, 44801 Bochum, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Ruhr University Bochum, Universit\u00e4tsstra\u00dfe 150, 44801 Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032649728","display_name":"Vincent Steffan","orcid":"https://orcid.org/0000-0003-4913-6833"},"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":"Vincent Steffan","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087398366","display_name":"Albert H. Werner","orcid":"https://orcid.org/0000-0003-0134-5257"},"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":"Albert H. Werner","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074101003","display_name":"Freek Witteveen","orcid":"https://orcid.org/0000-0002-3731-4455"},"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"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]}],"countries":["DK","NL"],"is_corresponding":false,"raw_author_name":"Freek Witteveen","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark","QuSoft, CWI, Science Park 123, 1098 XG Amsterdam, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]},{"raw_affiliation_string":"QuSoft, CWI, Science Park 123, 1098 XG Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I4210099082"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.2069,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79288313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"1560","last_page":"1560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9994999766349792,"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/T11804","display_name":"Quantum many-body systems","score":0.9994999766349792,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9923999905586243,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.988099992275238,"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/tensor","display_name":"Tensor (intrinsic definition)","score":0.5480778217315674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4819328784942627},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.46318742632865906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29248911142349243},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22056108713150024},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.07034236192703247}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5480778217315674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4819328784942627},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.46318742632865906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29248911142349243},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22056108713150024},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.07034236192703247}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2024-12-11-1560","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-12-11-1560","pdf_url":"https://quantum-journal.org/papers/q-2024-12-11-1560/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b23a8221a08c467698f7d8d80163d5f9","is_oa":false,"landing_page_url":"https://doaj.org/article/b23a8221a08c467698f7d8d80163d5f9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1560 (2024)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/3405889d-c1a4-4104-98dd-1ffa3fd880be","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/3405889d-c1a4-4104-98dd-1ffa3fd880be","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Christandl , M , Lysikov , V , Steffan , V , Werner , A H & Witteveen , F 2024 , ' The resource theory of tensor networks ' , Quantum , vol. 8 , 1560 . https://doi.org/10.22331/q-2024-12-11-1560","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-12-11-1560","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-12-11-1560","pdf_url":"https://quantum-journal.org/papers/q-2024-12-11-1560/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4105022999","display_name":null,"funder_award_id":"NNF20OC0059939","funder_id":"https://openalex.org/F4320325957","funder_display_name":"Novo Nordisk Fonden"},{"id":"https://openalex.org/G6701137214","display_name":null,"funder_award_id":"NNF20OC0059939","funder_id":"https://openalex.org/F4320322436","funder_display_name":"Novo Nordisk"},{"id":"https://openalex.org/G7352392636","display_name":null,"funder_award_id":"10059","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G8583218951","display_name":null,"funder_award_id":"25452","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320322436","display_name":"Novo Nordisk","ror":"https://ror.org/0435rc536"},{"id":"https://openalex.org/F4320325957","display_name":"Novo Nordisk Fonden","ror":"https://ror.org/04txyc737"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405279841.pdf","grobid_xml":"https://content.openalex.org/works/W4405279841.grobid-xml"},"referenced_works_count":133,"referenced_works":["https://openalex.org/W135913015","https://openalex.org/W1520371613","https://openalex.org/W1549606184","https://openalex.org/W1561337879","https://openalex.org/W1565043606","https://openalex.org/W1576854535","https://openalex.org/W1667269965","https://openalex.org/W1922629554","https://openalex.org/W1934222401","https://openalex.org/W1942206397","https://openalex.org/W1964713133","https://openalex.org/W1974928788","https://openalex.org/W1986584991","https://openalex.org/W1987118981","https://openalex.org/W1995703916","https://openalex.org/W1996440503","https://openalex.org/W2002048434","https://openalex.org/W2003095492","https://openalex.org/W2003197455","https://openalex.org/W2005470559","https://openalex.org/W2008822316","https://openalex.org/W2016786072","https://openalex.org/W2019603005","https://openalex.org/W2019692968","https://openalex.org/W2027639122","https://openalex.org/W2035476608","https://openalex.org/W2037768897","https://openalex.org/W2040571363","https://openalex.org/W2048364886","https://openalex.org/W2049595458","https://openalex.org/W2054381333","https://openalex.org/W2058790613","https://openalex.org/W2061073285","https://openalex.org/W2072287243","https://openalex.org/W2072969317","https://openalex.org/W2074426935","https://openalex.org/W2074814947","https://openalex.org/W2079320104","https://openalex.org/W2096391265","https://openalex.org/W2097945906","https://openalex.org/W2105077826","https://openalex.org/W2136035771","https://openalex.org/W2154815292","https://openalex.org/W2166364272","https://openalex.org/W2167325579","https://openalex.org/W2224517465","https://openalex.org/W2297982685","https://openalex.org/W2343408237","https://openalex.org/W2396770278","https://openalex.org/W2408635465","https://openalex.org/W2435088519","https://openalex.org/W2524409436","https://openalex.org/W2535048027","https://openalex.org/W2568833508","https://openalex.org/W2582761306","https://openalex.org/W2617994470","https://openalex.org/W2619660439","https://openalex.org/W2627142251","https://openalex.org/W2763778230","https://openalex.org/W2765526137","https://openalex.org/W2782213776","https://openalex.org/W2794602324","https://openalex.org/W2798663460","https://openalex.org/W2890496316","https://openalex.org/W2892488094","https://openalex.org/W2904511170","https://openalex.org/W2922105745","https://openalex.org/W2929853032","https://openalex.org/W2937406174","https://openalex.org/W2941570035","https://openalex.org/W2950447657","https://openalex.org/W2953511997","https://openalex.org/W2962927872","https://openalex.org/W2963024010","https://openalex.org/W2963052590","https://openalex.org/W2963741498","https://openalex.org/W2964226640","https://openalex.org/W2964251455","https://openalex.org/W2964329200","https://openalex.org/W2992214704","https://openalex.org/W2997092474","https://openalex.org/W3005044149","https://openalex.org/W3008211726","https://openalex.org/W3038950000","https://openalex.org/W3080325072","https://openalex.org/W3087264907","https://openalex.org/W3087902786","https://openalex.org/W3098186006","https://openalex.org/W3099340174","https://openalex.org/W3099596389","https://openalex.org/W3099956647","https://openalex.org/W3100068159","https://openalex.org/W3100298903","https://openalex.org/W3100594856","https://openalex.org/W3100993774","https://openalex.org/W3102352811","https://openalex.org/W3102593909","https://openalex.org/W3103666173","https://openalex.org/W3103945605","https://openalex.org/W3104844238","https://openalex.org/W3105218880","https://openalex.org/W3105695134","https://openalex.org/W3106011565","https://openalex.org/W3106290166","https://openalex.org/W3106434744","https://openalex.org/W3116253690","https://openalex.org/W3119235672","https://openalex.org/W3120126550","https://openalex.org/W3134442668","https://openalex.org/W3135074434","https://openalex.org/W3139424548","https://openalex.org/W3197914687","https://openalex.org/W3217018420","https://openalex.org/W4200400528","https://openalex.org/W4205738707","https://openalex.org/W4206549728","https://openalex.org/W4220911941","https://openalex.org/W4221149907","https://openalex.org/W4225124520","https://openalex.org/W4226048086","https://openalex.org/W4254702493","https://openalex.org/W4280602182","https://openalex.org/W4283325020","https://openalex.org/W4293357764","https://openalex.org/W4300852227","https://openalex.org/W4308632734","https://openalex.org/W4312103718","https://openalex.org/W4367191582","https://openalex.org/W4390098167","https://openalex.org/W4390098349","https://openalex.org/W4391132757","https://openalex.org/W4391253782","https://openalex.org/W4400976948"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Tensor":[0],"networks":[1,126,215],"provide":[2,185],"succinct":[3],"representations":[4,230],"of":[5,76,90,93,99,110,124,133,142,167,190,197,213],"quantum":[6,18,135],"many-body":[7,136],"states":[8,47],"and":[9,22,63,102,138,222,231],"are":[10,154],"an":[11,28],"important":[12],"computational":[13,23,64],"tool":[14],"for":[15,107,178,205],"strongly":[16],"correlated":[17],"systems.":[19],"Their":[20],"expressive":[21],"power":[24],"is":[25,86],"characterized":[26],"by":[27,193],"underlying":[29,53],"entanglement":[30,54,80,101,131,148,157,220],"structure,":[31],"on":[32],"a":[33,38,68,87,134,195],"lattice":[34],"or":[35,44],"more":[36,226],"generally":[37],"(hyper)graph,":[39],"with":[40],"virtual":[41],"entangled":[42,46],"pairs":[43],"multipartite":[45,83,100],"associated":[48],"to":[49,60,79,118,187,217,225],"(hyper)edges.":[50],"Changing":[51],"this":[52,147],"structure":[55,132],"into":[56],"another":[57],"can":[58],"lead":[59,224],"both":[61,128],"theoretical":[62],"benefits.":[65],"We":[66,150,183],"study":[67],"natural":[69],"resource":[70,91,122,169,211],"theory":[71,123,170,204,212],"which":[72,159],"generalizes":[73],"the":[74,97,108,111,129,139,176,188],"notion":[75],"bond":[77],"dimension":[78],"structures":[81,158,221],"using":[82,146],"entanglement.":[84],"It":[85],"direct":[88],"extension":[89],"theories":[92],"tensors":[94],"studied":[95],"in":[96,115,175,201],"context":[98],"algebraic":[103,202],"complexity":[104,141,203,207],"theory,":[105],"allowing":[106],"application":[109],"sophisticated":[112],"methods":[113,198],"developed":[114,200],"these":[116],"fields":[117],"tensor":[119,125,143,214,228],"networks.":[120],"The":[121,210],"concerns":[127],"local":[130],"state":[137],"(algebraic)":[140],"network":[144,229],"contractions":[145],"structure.":[149],"show":[151],"that":[152,171],"there":[153],"transformations":[155,192],"between":[156],"go":[160],"beyond":[161],"edge-by-edge":[162],"conversions,":[163],"highlighting":[164],"efficiency":[165],"gains":[166],"our":[168],"mirror":[172],"those":[173],"obtained":[174],"search":[177],"better":[179],"matrix":[180],"multiplication":[181],"algorithms.":[182,233],"also":[184],"obstructions":[186],"existence":[189],"such":[191],"extending":[194],"variety":[196],"originally":[199],"obtaining":[206],"lower":[208],"bounds.":[209],"allows":[216],"compare":[218],"different":[219],"should":[223],"efficient":[227],"contraction":[232]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}