{"id":"https://openalex.org/W11516092","doi":null,"title":"Local approach to quantum entanglement","display_name":"Local approach to quantum entanglement","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W11516092","mag":"11516092"},"language":"en","primary_location":{"id":"pmh:hdl:10068/999873","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/999873","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"U - Thesis"},"volume":null,"type":"dissertation","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034828680","display_name":"Ho-Chih Lin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ho-Chih Lin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5034828680"],"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9965999722480774,"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":0.9965999722480774,"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":0.0015999999595806003,"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/T11804","display_name":"Quantum many-body systems","score":0.00039999998989515007,"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":0.9430000185966492},{"id":"https://openalex.org/keywords/local-entanglement","display_name":"local entanglement","score":0.7649999856948853},{"id":"https://openalex.org/keywords/entanglement-quantification","display_name":"entanglement quantification","score":0.8450000286102295},{"id":"https://openalex.org/keywords/non-gaussian-states","display_name":"non-Gaussian states","score":0.8939999938011169},{"id":"https://openalex.org/keywords/logarithmic-negativity","display_name":"logarithmic negativity","score":0.8999999761581421},{"id":"https://openalex.org/keywords/multimode-entanglement","display_name":"multimode entanglement","score":0.8889999985694885},{"id":"https://openalex.org/keywords/bipartite-entanglement","display_name":"bipartite entanglement","score":0.7039999961853027}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8751727938652039},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5437215566635132},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49092939496040344},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.4774894416332245},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.47097185254096985},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.4572020471096039},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4476977586746216},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3900526165962219}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:hdl:10068/999873","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/999873","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"U - Thesis"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:14895","doi":null,"is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/14895/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Doctoral thesis, UCL (University College London).","raw_type":"Thesis"},{"id":"mag:11516092","doi":null,"is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1446283/","pdf_url":null,"source":{"id":"https://openalex.org/S4306508231","display_name":"Doctoral thesis, UCL (University College London).","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Doctoral thesis, UCL (University College London).","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2799646255","display_name":null,"funder_award_id":"CA 20180","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G609259107","display_name":null,"funder_award_id":"CA21765","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"}],"funders":[{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":102,"referenced_works":["https://openalex.org/W162944851","https://openalex.org/W191718607","https://openalex.org/W1509262151","https://openalex.org/W1526481195","https://openalex.org/W1615776358","https://openalex.org/W1631356911","https://openalex.org/W1779497736","https://openalex.org/W1847580993","https://openalex.org/W1847685889","https://openalex.org/W1965844970","https://openalex.org/W1968678676","https://openalex.org/W1973266480","https://openalex.org/W1973324548","https://openalex.org/W1974293884","https://openalex.org/W1975675656","https://openalex.org/W1977534155","https://openalex.org/W1977970854","https://openalex.org/W1978553093","https://openalex.org/W1979369481","https://openalex.org/W1980067455","https://openalex.org/W1984004232","https://openalex.org/W1985484222","https://openalex.org/W1986608926","https://openalex.org/W1990516747","https://openalex.org/W1991060246","https://openalex.org/W1992186363","https://openalex.org/W1996303636","https://openalex.org/W1997556859","https://openalex.org/W1997837296","https://openalex.org/W2002598418","https://openalex.org/W2003989474","https://openalex.org/W2004025612","https://openalex.org/W2004676871","https://openalex.org/W2004708825","https://openalex.org/W2007422996","https://openalex.org/W2011208902","https://openalex.org/W2013276173","https://openalex.org/W2017709228","https://openalex.org/W2020881588","https://openalex.org/W2021117593","https://openalex.org/W2025236523","https://openalex.org/W2028864648","https://openalex.org/W2029098347","https://openalex.org/W2030960102","https://openalex.org/W2031697621","https://openalex.org/W2032269342","https://openalex.org/W2033909248","https://openalex.org/W2034920898","https://openalex.org/W2035444223","https://openalex.org/W2036484418","https://openalex.org/W2039021058","https://openalex.org/W2040540537","https://openalex.org/W2040594360","https://openalex.org/W2041350672","https://openalex.org/W2042211492","https://openalex.org/W2043836237","https://openalex.org/W2048468143","https://openalex.org/W2048680711","https://openalex.org/W2049471987","https://openalex.org/W2049558191","https://openalex.org/W2050151514","https://openalex.org/W2051051926","https://openalex.org/W2054196506","https://openalex.org/W2057574680","https://openalex.org/W2060720876","https://openalex.org/W2060887031","https://openalex.org/W2062258079","https://openalex.org/W2062292260","https://openalex.org/W2064157369","https://openalex.org/W2073465935","https://openalex.org/W2073972310","https://openalex.org/W2080634153","https://openalex.org/W2084970030","https://openalex.org/W2087146661","https://openalex.org/W2087355870","https://openalex.org/W2088919927","https://openalex.org/W2091153177","https://openalex.org/W2093704631","https://openalex.org/W2096089357","https://openalex.org/W2103713333","https://openalex.org/W2106725754","https://openalex.org/W2107152752","https://openalex.org/W2142739935","https://openalex.org/W2148132004","https://openalex.org/W2159986543","https://openalex.org/W2471942256","https://openalex.org/W2592568722","https://openalex.org/W2614264617","https://openalex.org/W2962683526","https://openalex.org/W2963319646","https://openalex.org/W2983621325","https://openalex.org/W3003414507","https://openalex.org/W3037032340","https://openalex.org/W3037167283","https://openalex.org/W3037256833","https://openalex.org/W3101315216","https://openalex.org/W3103113121","https://openalex.org/W3103782918","https://openalex.org/W3104029546","https://openalex.org/W3105629767","https://openalex.org/W3143400115","https://openalex.org/W3216958049"],"related_works":["https://openalex.org/W1671951832","https://openalex.org/W6996001239","https://openalex.org/W2029098347","https://openalex.org/W6966642767","https://openalex.org/W1975675656","https://openalex.org/W7135854823","https://openalex.org/W7099685105","https://openalex.org/W2020794900","https://openalex.org/W2068298506","https://openalex.org/W7095787866"],"abstract_inverted_index":{"Quantum":[0],"entanglement":[1,33,68,166,183,211,284,294],"is":[2,17,34,54,135,149,159,247,286],"the":[3,47,67,73,92,105,163,176,190,204,209,240,245,263,292,296],"key":[4],"property":[5],"that":[6,200,276],"makes":[7],"quantum":[8,82,182],"information":[9,83],"theory":[10],"different":[11],"from":[12,37,262,289],"its":[13],"classical":[14],"counterpart":[15],"and":[16,122,198],"also":[18,131],"a":[19,186,274],"valuable":[20],"physical":[21,45,79],"resource":[22],"with":[23,233],"massive":[24],"potential":[25],"for":[26,282],"technological":[27],"applications.":[28],"However,":[29],"our":[30],"understanding":[31],"of":[32,69,76,78,91,110,147,165,179,192,208,231,253,295],"still":[35],"far":[36],"complete":[38],"despite":[39],"intense":[40],"research":[41,180],"activities.":[42],"Like":[43],"other":[44],"resources,":[46],"first":[48,205],"step":[49],"towards":[50],"exploiting":[51],"them":[52],"fully":[53,237],"to":[55,58,64,151,173,175,189,203],"know":[56],"how":[57],"quantify.":[59],"There":[60],"are":[61,84,102,130,236],"many":[62,116,222],"reasons":[63],"focus":[65],"on":[66,97],"continuous-variable":[70,196],"states":[71,109,129,257],"since":[72],"underlying":[74],"degrees":[75],"freedom":[77,148],"systems":[80,232],"carrying":[81],"frequently":[85],"continuous,":[86],"rather":[87],"than":[88,285],"discrete.":[89],"Much":[90],"effort":[93],"has":[94],"been":[95,120],"concentrated":[96],"Gaussian":[98],"states,":[99,197,270],"because":[100],"these":[101],"common":[103],"as":[104],"ground":[106],"or":[107],"\\nthermal":[108],"optical":[111],"modes.":[112],"Within":[113],"this":[114,134,219,271],"framework,":[115],"interesting":[117],"topics":[118],"have":[119],"studied":[121],"some":[123],"significant":[124],"progress":[125],"made.":[126],"Nevertheless,":[127],"non-Gaussian":[128,168,215],"extremely":[132],"important;":[133],"especially":[136,194],"so":[137],"in":[138,144,167,181,195],"condensed-phase":[139],"systems,":[140],"where":[141],"harmonic":[142],"behaviour":[143],"any":[145,254],"\\ndegree":[146],"likely":[150],"be":[152,226,259],"only":[153],"an":[154],"approximation.":[155],"So":[156],"far,":[157],"there":[158],"little":[160],"knowledge":[161],"about":[162],"quantification":[164,207],"states.":[169,216],"\\nThis":[170],"thesis":[171],"aims":[172],"contribute":[174],"active":[177],"field":[178],"by":[184,239],"introducing":[185],"new":[187,223],"approach":[188,272],"analysis":[191],"entanglement,":[193],"shows":[199],"it":[201],"leads":[202],"systematic":[206],"(local)":[210],"\\nin":[212],"arbitrary":[213],"bipartite":[214],"By":[217],"applying":[218],"local":[220,229,250],"approach,":[221],"insights":[224],"can":[225,258],"gained.":[227],"Notably,":[228],"entanglements":[230],"smooth":[234],"wavefunctions":[235],"characterised":[238],"derived":[241],"simple":[242],"expressions,":[243],"provided":[244],"wavefunction":[246],"known.":[248],"The":[249],"(logarithmic)":[251],"negativity":[252],"two-mode":[255],"mixed":[256,269],"directly":[260,290],"computed":[261],"closed-form":[264],"formulae":[265],"given.":[266],"For":[267],"multi-mode":[268],"provides":[273],"scheme":[275],"\\npermits":[277],"much":[278],"simpler":[279],"numerical":[280],"computation":[281],"quantifying":[283],"generally":[287],"possible":[288],"computing":[291],"full":[293],"system.":[297]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
