{"id":"https://openalex.org/W2993534859","doi":null,"title":"Geometric and topological considerations for the closure of LOCC","display_name":"Geometric and topological considerations for the closure of LOCC","publication_year":2019,"publication_date":"2019-12-05","ids":{"openalex":"https://openalex.org/W2993534859","mag":"2993534859"},"language":"en","primary_location":{"id":"mag:2993534859","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1912.02330.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1912.02330.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004286558","display_name":"Scott M. Cohen","orcid":"https://orcid.org/0000-0003-1655-7690","observed_orcids":["https://orcid.org/0000-0003-1655-7690"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Scott M. Cohen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1655-7690","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5004286558"],"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":0.9916999936103821,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9916999936103821,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.006800000090152025,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.0006000000284984708,"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/local-operations-and-classical-communication","display_name":"local operations and classical communication","score":0.8730000257492065},{"id":"https://openalex.org/keywords/quantum-measurement","display_name":"quantum measurement","score":0.7879999876022339},{"id":"https://openalex.org/keywords/geometric-characterization","display_name":"geometric characterization","score":0.3479999899864197},{"id":"https://openalex.org/keywords/topological-characterization","display_name":"topological characterization","score":0.5820000171661377},{"id":"https://openalex.org/keywords/state-distinguishability","display_name":"state distinguishability","score":0.7829999923706055},{"id":"https://openalex.org/keywords/unextendible-product-bases","display_name":"unextendible product bases","score":0.9750000238418579}],"concepts":[{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.9622713923454285},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7414329051971436},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6306602358818054},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6245681643486023},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5748369693756104},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.498960018157959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4889287054538727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4353371858596802},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41653287410736084},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3754723072052002},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37256696820259094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36591461300849915},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3340974748134613},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3201943039894104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1502014696598053},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10372188687324524},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09571340680122375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08424842357635498},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2993534859","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1912.02330.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2993534859","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1912.02330.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1500223959","https://openalex.org/W1631356911","https://openalex.org/W1966949903","https://openalex.org/W1970044582","https://openalex.org/W1974293884","https://openalex.org/W1978553093","https://openalex.org/W1982970299","https://openalex.org/W1988922918","https://openalex.org/W2004026774","https://openalex.org/W2005189437","https://openalex.org/W2012292761","https://openalex.org/W2020602246","https://openalex.org/W2062258079","https://openalex.org/W2062854284","https://openalex.org/W2083026109","https://openalex.org/W2085397031","https://openalex.org/W2088185871","https://openalex.org/W2109164763","https://openalex.org/W2126053878","https://openalex.org/W2141140927","https://openalex.org/W2317038446","https://openalex.org/W2324781002","https://openalex.org/W3037737784","https://openalex.org/W3104548807"],"related_works":["https://openalex.org/W4213300888","https://openalex.org/W2197121596","https://openalex.org/W857074038","https://openalex.org/W7097364618","https://openalex.org/W2324781002","https://openalex.org/W3099879538","https://openalex.org/W2979706422","https://openalex.org/W2005189437","https://openalex.org/W2102524805","https://openalex.org/W49814679"],"abstract_inverted_index":{"We":[0,82],"point":[1],"out":[2],"a":[3,7,65,90],"necessary":[4],"condition":[5,41,87],"that":[6,50,56],"quantum":[8],"measurement":[9,49],"can":[10],"be":[11,120],"implemented":[12],"by":[13,104,122],"the":[14,29,53],"class":[15],"of":[16,31,35,39,55,92,99,102,110],"protocols":[17],"known":[18,70],"as":[19],"Local":[20],"Operations":[21],"and":[22,63,130],"Classical":[23],"Communication,":[24],"or":[25],"LOCC,":[26],"including":[27,96],"in":[28,52],"limit":[30],"an":[32],"infinite":[33,126],"number":[34],"rounds.":[36],"A":[37],"generalization":[38,60],"this":[40],"is":[42,51,133],"then":[43],"proven":[44],"to":[45,79,88],"hold":[46],"for":[47,68,97,114],"any":[48],"closure":[54],"set,":[57],"${\\bar{\\textrm{LOCC}}}$.":[58],"This":[59],"unifies,":[61],"extends,":[62],"provides":[64],"geometric":[66],"justification":[67],"previously":[69],"results":[71],"on":[72],"${\\bar{\\text{LOCC}}}$,":[73],"reproducing":[74],"their":[75],"consequences":[76],"with":[77],"regard":[78],"practical":[80],"applications.":[81],"have":[83],"also":[84],"used":[85],"our":[86],"answer":[89],"variety":[91],"long-standing,":[93],"unsolved":[94],"problems,":[95],"distinguishability":[98],"certain":[100],"sets":[101],"states":[103],"LOCC.":[105],"These":[106],"include":[107],"various":[108],"classes":[109],"unextendible":[111],"product":[112],"bases,":[113],"which":[115],"we":[116],"prove":[117],"they":[118],"cannot":[119],"distinguished":[121],"LOCC":[123],"even":[124],"when":[125],"resources":[127],"are":[128],"available":[129],"vanishing":[131],"error":[132],"allowed.":[134]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-12-13T00:00:00"}
