{"id":"https://openalex.org/W3197396612","doi":"https://doi.org/10.22331/q-2022-06-20-741","title":"Topological Link Models of Multipartite Entanglement","display_name":"Topological Link Models of Multipartite Entanglement","publication_year":2022,"publication_date":"2022-06-20","ids":{"openalex":"https://openalex.org/W3197396612","doi":"https://doi.org/10.22331/q-2022-06-20-741","mag":"3197396612"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-06-20-741","pdf_url":"https://quantum-journal.org/papers/q-2022-06-20-741/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},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-06-20-741/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033970415","display_name":"Ning Bao","orcid":"https://orcid.org/0000-0002-3296-1039"},"institutions":[{"id":"https://openalex.org/I200870766","display_name":"Brookhaven National Laboratory","ror":"https://ror.org/02ex6cf31","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I200870766","https://openalex.org/I39565521","https://openalex.org/I4210142672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Bao","raw_affiliation_strings":["Computational Science Initiative, Brookhaven National Lab, Upton, NY, 11973, USA"],"affiliations":[{"raw_affiliation_string":"Computational Science Initiative, Brookhaven National Lab, Upton, NY, 11973, USA","institution_ids":["https://openalex.org/I200870766"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058959806","display_name":"Newton Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I4210145836","display_name":"Center for Theoretical Biological Physics","ror":"https://ror.org/04hfg7v94","country_code":"US","type":"facility","lineage":["https://openalex.org/I12912129","https://openalex.org/I181547552","https://openalex.org/I2801539370","https://openalex.org/I4210145836","https://openalex.org/I44461941","https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Newton Cheng","raw_affiliation_strings":["Center for Theoretical Physics, Department of Physics, University of California, Berkeley, CA 94720, USA"],"affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Department of Physics, University of California, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486","https://openalex.org/I4210145836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047246256","display_name":"Sergio Hern\u00e1ndez-Cuenca","orcid":"https://orcid.org/0000-0002-0765-6905"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergio Hern\u00e1ndez-Cuenca","raw_affiliation_strings":["Department of Physics, University of California, Santa Barbara, CA 93106, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California, Santa Barbara, CA 93106, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003006600","display_name":"Vincent Paul Su","orcid":"https://orcid.org/0000-0001-7196-4040"},"institutions":[{"id":"https://openalex.org/I4210145836","display_name":"Center for Theoretical Biological Physics","ror":"https://ror.org/04hfg7v94","country_code":"US","type":"facility","lineage":["https://openalex.org/I12912129","https://openalex.org/I181547552","https://openalex.org/I2801539370","https://openalex.org/I4210145836","https://openalex.org/I44461941","https://openalex.org/I74775410"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincent Paul Su","raw_affiliation_strings":["Center for Theoretical Physics, Department of Physics, University of California, Berkeley, CA 94720, USA"],"affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Department of Physics, University of California, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I4210145836","https://openalex.org/I95457486"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215,"provenance":"doaj"},"apc_paid":{"value":200,"currency":"EUR","value_usd":215,"provenance":"doaj"},"fwci":0.945,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":7,"citation_normalized_percentile":{"value":0.999837,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"6","issue":null,"first_page":"741","last_page":"741"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Holographic Derivation of Field Theories and Gravity","score":0.9987,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T10025","display_name":"Holographic Derivation of Field Theories and Gravity","score":0.9987,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T11804","display_name":"Quantum Many-Body Systems and Entanglement Dynamics","score":0.9937,"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/T12002","display_name":"Computational Complexity and Algorithmic Information Theory","score":0.9918,"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/multipartite","display_name":"Multipartite","score":0.69263566},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.6924113},{"id":"https://openalex.org/keywords/topological-graph","display_name":"Topological graph","score":0.5825112},{"id":"https://openalex.org/keywords/link","display_name":"Link (geometry)","score":0.5129766},{"id":"https://openalex.org/keywords/topological-order","display_name":"Topological Order","score":0.47283},{"id":"https://openalex.org/keywords/multipartite-entanglement","display_name":"Multipartite entanglement","score":0.45950127},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.43332145}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.69263566},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.6924113},{"id":"https://openalex.org/C148908050","wikidata":"https://www.wikidata.org/wiki/Q11681505","display_name":"Topological entropy in physics","level":3,"score":0.62189955},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5979892},{"id":"https://openalex.org/C8764922","wikidata":"https://www.wikidata.org/wiki/Q17104195","display_name":"Topological graph","level":3,"score":0.5825112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5351269},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.5129766},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.46203},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.45950127},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.44923195},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.43332145},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38404977},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33334023},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32787573},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3230812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29324085},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.22078037},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.20305642},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.183427},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13446051},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1186859},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.09282002},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08873549},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.06371963},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-06-20-741","pdf_url":"https://quantum-journal.org/papers/q-2022-06-20-741/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},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2109.01150","pdf_url":"https://arxiv.org/pdf/2109.01150","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://www.osti.gov/biblio/1876828","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":["Office of Scientific and Technical Information"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://www.osti.gov/biblio/1873000","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":["Office of Scientific and Technical Information"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2109.01150","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-06-20-741","pdf_url":"https://quantum-journal.org/papers/q-2022-06-20-741/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},"sustainable_development_goals":[{"score":0.42,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"grants":[{"funder":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy","award_id":"DE-SC0019380"}],"datasets":[],"versions":["https://openalex.org/W3197396612"],"referenced_works_count":21,"referenced_works":["https://openalex.org/W1915702001","https://openalex.org/W1977630442","https://openalex.org/W1986556555","https://openalex.org/W2069525126","https://openalex.org/W2103286274","https://openalex.org/W2110283120","https://openalex.org/W2475494002","https://openalex.org/W2550343882","https://openalex.org/W2556434775","https://openalex.org/W2734480451","https://openalex.org/W2913613844","https://openalex.org/W2922963664","https://openalex.org/W2962685842","https://openalex.org/W3039393314","https://openalex.org/W3102882873","https://openalex.org/W3104089163","https://openalex.org/W3106074170","https://openalex.org/W3132155589","https://openalex.org/W3133361432","https://openalex.org/W3197914687","https://openalex.org/W3214914915"],"related_works":["https://openalex.org/W4286783915","https://openalex.org/W4234294603","https://openalex.org/W4220931796","https://openalex.org/W3206620725","https://openalex.org/W3197396612","https://openalex.org/W3171179652","https://openalex.org/W3099811251","https://openalex.org/W3006280504","https://openalex.org/W2614478699","https://openalex.org/W2027926894"],"abstract_inverted_index":{"We":[0,18],"introduce":[1],"a":[2],"novel":[3],"model":[4],"of":[5,25],"multipartite":[6],"entanglement":[7],"based":[8],"on":[9],"topological":[10,49],"links,":[11],"generalizing":[12],"the":[13,41,48],"graph/hypergraph":[14],"entropy":[15,26],"cone":[16],"program.":[17],"demonstrate":[19],"that":[20,40],"there":[21],"exist":[22],"link":[23],"representations":[24],"vectors":[27],"which":[28],"provably":[29],"cannot":[30],"be":[31],"represented":[32],"by":[33],"graphs":[34],"or":[35],"hypergraphs.":[36],"Furthermore,":[37],"we":[38],"show":[39],"contraction":[42],"map":[43],"proof":[44],"method":[45],"generalizes":[46],"to":[47,56],"setting,":[50],"though":[51],"now":[52],"requiring":[53],"oracular":[54],"solutions":[55],"well-known":[57],"but":[58],"difficult":[59],"problems":[60],"in":[61],"knot":[62],"theory.":[63]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3197396612","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2024-11-26T09:27:09.477851","created_date":"2021-09-13"}
