{"id":"https://openalex.org/W2912411468","doi":null,"title":"Emaranhadores, estados qu\u00e2nticos e uma contribui\u00e7\u00e3o \u00e0 conjectura de Lehmer","display_name":"Emaranhadores, estados qu\u00e2nticos e uma contribui\u00e7\u00e3o \u00e0 conjectura de Lehmer","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2912411468","mag":"2912411468"},"language":"pt","primary_location":{"id":"pmh:oai:americanae.aecid.es:3148120","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10183/188064","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:Biblioteca Digital de Teses e Disserta\u00e7\u00f5es da UFRGS","raw_type":"info:eu-repo/semantics/doctoralThesis"},"volume":null,"type":"dissertation","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10183/188064","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015091141","display_name":"Hevans Vinicius Pereira","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hevans Vinicius Pereira","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5015091141"],"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.7914999723434448,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.7914999723434448,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.08060000091791153,"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/T11166","display_name":"Analytic Number Theory Research","score":0.03929999843239784,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-dynamical-systems","display_name":"quantum dynamical systems","score":0.7990000247955322},{"id":"https://openalex.org/keywords/haar-measure","display_name":"Haar measure","score":0.8669999837875366},{"id":"https://openalex.org/keywords/ramanujan-sums","display_name":"Ramanujan sums","score":0.4869999885559082}],"concepts":[{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.39743107557296753}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:americanae.aecid.es:3148120","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10183/188064","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:Biblioteca Digital de Teses e Disserta\u00e7\u00f5es da UFRGS","raw_type":"info:eu-repo/semantics/doctoralThesis"},{"id":"pmh:oai:www.lume.ufrgs.br:10183/188064","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10183/188064","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"instacron:UFRGS","raw_type":"info:eu-repo/semantics/doctoralThesis"},{"id":"mag:2912411468","doi":null,"is_oa":false,"landing_page_url":"https://www.lume.ufrgs.br/handle/10183/188064","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3148120","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10183/188064","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:Biblioteca Digital de Teses e Disserta\u00e7\u00f5es da UFRGS","raw_type":"info:eu-repo/semantics/doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2981240220","https://openalex.org/W2972332976","https://openalex.org/W936523936","https://openalex.org/W2529136062","https://openalex.org/W6884903431","https://openalex.org/W7120308842","https://openalex.org/W7036889514","https://openalex.org/W4414652229","https://openalex.org/W7120690451","https://openalex.org/W6893104403"],"abstract_inverted_index":{"Este":[0],"trabalho":[1,18],"apresenta":[2,19],"alguns":[3],"problemas":[4],"matem\u00e1ticos":[5],"ligados":[6],"\u00e0":[7,11,328],"Mec\u00e2nica":[8,27,45],"Qu\u00e2ntica":[9,28],"e":[10,29,89,93,102,134,170,198,243,308],"Teoria":[12,35,331],"de":[13,36,48,56,85,132,156,173,177,189,192,200,202,204,260,274,293,303,305,330,332,355],"N\u00fameros;":[14],"mais":[15],"precisamente,":[16],"este":[17,357],"tr\u00eas":[20],"problemas:":[21],"dois":[22],"deles":[23],"no":[24,32,301],"contexto":[25,43],"da":[26,34,44,54,154,235,247,311],"o":[30,104,112,148,185,272,324],"terceiro":[31,325],"\u00e2mbito":[33],"N\u00fameros.":[37,333],"O":[38],"primeiro":[39],"problema,":[40,326],"dentro":[41],"do":[42,124,161,182],"Qu\u00e2ntica,":[46],"trata":[47,188],"determinar":[49],"a":[50,115,129,180,218],"geometria":[51,64,181],"dos":[52,122,280],"estados":[53,60],"esfera":[55,155],"Bloch":[57,157],"que":[58,68,74,113,216,255,315,337],"representem":[59],"fisicamente":[61],"realiz\u00e1veis.":[62],"Tal":[63,228,297],"herda":[65],"uma":[66,116,335],"simetria":[67],"\u00e9":[69,106,136,230,359],"preservada":[70],"por":[71,96,346],"transformac\u00f5es":[72],"isoespectrais":[73],"comp\u00f5em":[75],"um":[76,97,213,257,288],"grupo":[77],"abeliano;":[78],"nesse":[79],"sentido,":[80],"obtivemos":[81],"os":[82],"mesmos":[83],"resultados":[84],"Mendas,":[86],"em":[87,91,109,139,238,245,295,309],"[14],":[88,128],"Kimura,":[90],"[10]":[92,101,133],"[11],":[94],"mas":[95,138],"m\u00e9todo":[98],"diferente.":[99],"Em":[100,127,144],"[11]":[103,135],"problema":[105,187,358],"abordado":[107],"inteiramente":[108],"coordenadas":[110],"esf\u00e9ricas,":[111],"conduz":[114],"formula\u00e7\u00e3o":[117],"ligeiramente":[118],"diferente":[119],"na":[120,175,278,291,353],"obten\u00e7\u00e3o":[121],"autolavores":[123],"operador":[125],"densidade.":[126],"mesma":[130],"ideia":[131],"abordada":[137],"dimens\u00e3o":[140],"d":[141],"=":[142],"4.":[143],"ambas":[145],"as":[146],"refer\u00eancias":[147],"ponto":[149],"principal":[150],"foi":[151,344],"tomar":[152],"interse\u00e7\u00e3o":[153],"com":[158,220],"hiperplanos":[159],"especiais":[160],"espa\u00e7o,":[162],"isso":[163],"permitiu":[164],"aos":[165],"autores":[166],"utilizar":[167],"m\u00e9todos":[168],"computacionais":[169],"ilustrar":[171],"regi\u00f5es":[172],"interesse":[174,234],"tentativa":[176,354],"compreender":[178],"melhor":[179,240],"problema.":[183],"J\u00e1":[184],"segundo":[186],"descobrir":[190],"propriedades":[191,304],"sistemas":[193],"din\u00e2micos":[194],"qu\u00e2nticos,":[195],"como":[196],"converg\u00eancia":[197,201,219],"velocidade":[199,221],"produto":[203,273],"matrizes":[205],"unit\u00e1rias":[206],"sorteadas":[207],"aleatoriamente":[208,276],"para":[209,287],"emaranhadores":[210,241,306],"universais.":[211],"Conseguimos":[212],"resultado":[214,229,253,298],"interessante":[215],"garante":[217,254],"exponencial,":[222],"mesmo":[223],"sob":[224],"condi\u00e7\u00f5es":[225],"relativamente":[226],"gerais.":[227],"importante":[231],"devido":[232],"ao":[233,269],"comunidade":[236,321],"acad\u00eamica":[237],"entender":[239],"universais":[242,307],"us\u00e1-los":[244],"aplica\u00e7\u00f5es":[246,310],"computa\u00e7\u00e3o":[248,312],"qu\u00e2ntica.":[249],"Mais":[250],"especificamente,":[251],"nosso":[252],"dado":[256],"n\u00famero":[258],"finito":[259],"elementos":[261,275,281],"u1,":[262,282],"...":[263],"un":[264,284],"\u2208...":[265],"U":[266],"(n)":[267],"escolhidos":[268],"acaso,":[270],"ent\u00e3o":[271],"sorteados":[277],"vizinhan\u00e7a":[279],"...,":[283],"converge":[285],"fraco-estrela":[286],"emaranhador":[289],"universal":[290],"medida":[292],"Haar":[294],"U(n).":[296],"pode":[299],"auxiliar":[300],"entendimento":[302],"qu\u00e2ntica,":[313],"t\u00f3picos":[314],"v\u00eam":[316],"sendo":[317],"bastante":[318],"estudados":[319],"pela":[320],"acad\u00eamica.":[322],"Finalmente,":[323],"pertencente":[327],"\u00e1rea":[329],"\u00c9":[334],"conjectura":[336],"encontra-se":[338],"sem":[339],"solu\u00e7\u00e3o":[340],"desde":[341],"1932,":[342],"quando":[343],"formulada":[345],"Derrick":[347],"Henry":[348],"Lehmer.":[349],"Uma":[350],"nova":[351],"abordagem":[352],"resolver":[356],"apresentada.":[360]},"counts_by_year":[],"updated_date":"2026-09-09T07:26:56.047234","created_date":"2019-02-21T00:00:00"}