{"id":"https://openalex.org/W4225963412","doi":"https://doi.org/10.1109/isit50566.2022.9834375","title":"A smallest computable entanglement monotone","display_name":"A smallest computable entanglement monotone","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4225963412","doi":"https://doi.org/10.1109/isit50566.2022.9834375"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834375","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834375","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2201.00835","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039471780","display_name":"Jens Eisert","orcid":"https://orcid.org/0000-0003-3033-1292"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jens Eisert","raw_affiliation_strings":["Freie Universität Berlin,Dahlem Center for Complex Quantum Systems,Berlin,Germany"],"affiliations":[{"raw_affiliation_string":"Freie Universität Berlin,Dahlem Center for Complex Quantum Systems,Berlin,Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037632925","display_name":"Mark M. Wilde","orcid":"https://orcid.org/0000-0002-3916-4462"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark M. Wilde","raw_affiliation_strings":["Louisiana State University,Hearne Institute for Theoretical Physics,Department of Physics and Astronomy, & Center for Computation and Technology,Baton Rouge,Louisiana,USA,70803"],"affiliations":[{"raw_affiliation_string":"Louisiana State University,Hearne Institute for Theoretical Physics,Department of Physics and Astronomy, & Center for Computation and Technology,Baton Rouge,Louisiana,USA,70803","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039471780"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4175,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.55891239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2439","last_page":"2444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991000294685364,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.8166382312774658},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.7374886274337769},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7220081686973572},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6201769113540649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.563673734664917},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4729563891887665},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4666718542575836},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33883199095726013},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33510878682136536},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3030644655227661},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16383883357048035},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1304730474948883},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12667542695999146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08569276332855225}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8166382312774658},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.7374886274337769},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7220081686973572},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6201769113540649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.563673734664917},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4729563891887665},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4666718542575836},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33883199095726013},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33510878682136536},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3030644655227661},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16383883357048035},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1304730474948883},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12667542695999146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08569276332855225},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit50566.2022.9834375","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834375","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2201.00835","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.00835","pdf_url":"https://arxiv.org/pdf/2201.00835","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:helmholtz.HZB:108982","is_oa":false,"landing_page_url":"https://www.helmholtz-berlin.de/pubbin/oai_publication?VT=1&ID=108982","pdf_url":null,"source":{"id":"https://openalex.org/S4306402598","display_name":"HZB Repository (Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie GmbH (HZB))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3018134672","host_organization_name":"Helmholtz Zentrum M\u00fcnchen","host_organization_lineage":["https://openalex.org/I3018134672"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In  IEEE International Symposium on Information Theory   Proceedings    ISIT  took place June 26   July 1, 2022 in Espoo, FinlandIEEE, 2022.   ISBN 978 1 6654 2159 1, p. 2439 2444","raw_type":"text"},{"id":"pmh:oai:publica.fraunhofer.de:publica/443307","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/443307","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2201.00835","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.00835","pdf_url":"https://arxiv.org/pdf/2201.00835","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W639433093","https://openalex.org/W1526510614","https://openalex.org/W1567144188","https://openalex.org/W1616015000","https://openalex.org/W1621050367","https://openalex.org/W1622848806","https://openalex.org/W1972216080","https://openalex.org/W1979369481","https://openalex.org/W1984004232","https://openalex.org/W1984525415","https://openalex.org/W1991060246","https://openalex.org/W1993727043","https://openalex.org/W2002842428","https://openalex.org/W2004980778","https://openalex.org/W2025236523","https://openalex.org/W2027561650","https://openalex.org/W2033909248","https://openalex.org/W2053724172","https://openalex.org/W2060887031","https://openalex.org/W2062258079","https://openalex.org/W2066331763","https://openalex.org/W2075396996","https://openalex.org/W2105918132","https://openalex.org/W2122166994","https://openalex.org/W2124792389","https://openalex.org/W2147349431","https://openalex.org/W2163484647","https://openalex.org/W2168792807","https://openalex.org/W2614264617","https://openalex.org/W2650349697","https://openalex.org/W2738024893","https://openalex.org/W2766574167","https://openalex.org/W2794488749","https://openalex.org/W2798492808","https://openalex.org/W2804172638","https://openalex.org/W2942154097","https://openalex.org/W2949537319","https://openalex.org/W2951432180","https://openalex.org/W2964179926","https://openalex.org/W2985334210","https://openalex.org/W2990622187","https://openalex.org/W3037737784","https://openalex.org/W3038067977","https://openalex.org/W3098995074","https://openalex.org/W3100438626","https://openalex.org/W3102256285","https://openalex.org/W3102664240","https://openalex.org/W3103744872","https://openalex.org/W3104786485","https://openalex.org/W3105192903","https://openalex.org/W3105620608","https://openalex.org/W3184296612","https://openalex.org/W3186299570","https://openalex.org/W3213943817","https://openalex.org/W4225963412","https://openalex.org/W4226151415","https://openalex.org/W4239526858","https://openalex.org/W4240475650","https://openalex.org/W4286850657","https://openalex.org/W4287640458","https://openalex.org/W4297779148","https://openalex.org/W6640919251","https://openalex.org/W6683411420","https://openalex.org/W6784393746","https://openalex.org/W6804332184","https://openalex.org/W6810856589"],"related_works":["https://openalex.org/W2258058860","https://openalex.org/W2065830994","https://openalex.org/W2092555887","https://openalex.org/W1964921276","https://openalex.org/W2741523612","https://openalex.org/W2102682197","https://openalex.org/W3023379344","https://openalex.org/W2163103544","https://openalex.org/W2551182807","https://openalex.org/W3033899355"],"abstract_inverted_index":{"The":[0],"Rains":[1,64,96,111,144,150,189],"relative":[2,65,97,112,145,151,157,190],"entropy":[3,66,98,113],"of":[4,26,62,76,84,99,114,162,180],"a":[5,22,29,47,181],"bipartite":[6],"quantum":[7],"state":[8,117,182],"is":[9,34,71,137,183],"the":[10,60,63,74,82,85,110,115,123,142,169,175],"tightest":[11],"known":[12,44,127],"upper":[13],"bound":[14],"on":[15],"its":[16,52],"distillable":[17,178],"entanglement":[18,27,49,130,179],"\u2013":[19,31],"which":[20],"has":[21,41],"crisp":[23],"physical":[24],"interpretation":[25,61],"as":[28],"resource":[30],"and":[32,171],"it":[33,70],"efficiently":[35],"computable":[36,128],"by":[37,67,103,187],"convex":[38],"programming.":[39],"It":[40],"not":[42,108,139],"been":[43],"to":[45,122],"be":[46],"selective":[48,77,129],"monotone":[50,72],"in":[51,118,167],"own":[53],"right.":[54],"In":[55],"this":[56,136],"work,":[57],"we":[58,93,133,165],"strengthen":[59],"showing":[68],"that":[69,79,95,135,174],"under":[73],"action":[75],"operations":[78],"completely":[80],"preserve":[81],"positivity":[83],"partial":[86],"transpose,":[87],"reasonably":[88],"quantifying":[89],"entanglement.":[90],"That":[91],"is,":[92],"prove":[94],"an":[100,105,160],"ensemble":[101],"generated":[102],"such":[104],"operation":[106],"does":[107],"exceed":[109],"initial":[116],"expectation,":[119],"giving":[120],"rise":[121],"smallest,":[124],"most":[125],"conservative":[126],"monotone.":[131],"Additionally,":[132],"show":[134],"true":[138],"only":[140],"for":[141,149],"original":[143],"entropy,":[146],"but":[147],"also":[148],"entropies":[152],"derived":[153],"from":[154,185],"various":[155,188],"R\u00e9nyi":[156],"entropies.":[158],"As":[159],"application":[161],"these":[163],"findings,":[164],"prove,":[166],"both":[168],"non-asymptotic":[170],"asymptotic":[172],"settings,":[173],"probabilistic":[176],"approximate":[177],"bounded":[184],"above":[186],"entropies.Full":[191],"version":[192],"available":[193],"at":[194],"https://arxiv.org/abs/2201.00835":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}