{"id":"https://openalex.org/W1472771996","doi":null,"title":"Classification of multipartite entanglement in $2\\times{M}\\times{N}$ quantum system: range criterion and a systematic method","display_name":"Classification of multipartite entanglement in $2\\times{M}\\times{N}$ quantum system: range criterion and a systematic method","publication_year":2005,"publication_date":"2005-06-18","ids":{"openalex":"https://openalex.org/W1472771996","mag":"1472771996"},"language":"en","primary_location":{"id":"mag:1472771996","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/quant-ph/0506152","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","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/quant-ph/0506152","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100443769","display_name":"Lin Chen","orcid":"https://orcid.org/0000-0002-8367-3651","observed_orcids":["https://orcid.org/0000-0002-8367-3651"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin Chen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8367-3651","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100393446","display_name":"Yixin Chen","orcid":"https://orcid.org/0000-0002-3710-7114","observed_orcids":["https://orcid.org/0000-0002-3710-7114"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yixin Chen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3710-7114","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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":0.9814000129699707,"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":0.9814000129699707,"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":0.006500000134110451,"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":0.00430000014603138,"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/multipartite-entanglement","display_name":"multipartite entanglement","score":0.9599999785423279},{"id":"https://openalex.org/keywords/entanglement-classification","display_name":"entanglement classification","score":0.9010000228881836},{"id":"https://openalex.org/keywords/quantum-state-discrimination","display_name":"quantum state discrimination","score":0.6909999847412109}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.816402792930603},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.814079999923706},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.708320140838623},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.6566840410232544},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.5632620453834534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5114042162895203},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48942652344703674},{"id":"https://openalex.org/C4119822","wikidata":"https://www.wikidata.org/wiki/Q7167895","display_name":"Peres\u2013Horodecki criterion","level":5,"score":0.4383958578109741},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42722660303115845},{"id":"https://openalex.org/C20593774","wikidata":"https://www.wikidata.org/wiki/Q7958522","display_name":"W state","level":4,"score":0.37336674332618713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.329309344291687},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3168269395828247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2614990770816803},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.18550992012023926},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07880321145057678},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"mag:1472771996","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/quant-ph/0506152","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},{"id":"pmh:oai:cds.cern.ch:844773","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/844773","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"mag:1472771996","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/quant-ph/0506152","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1918919897","https://openalex.org/W2962696906","https://openalex.org/W1270946115","https://openalex.org/W80456508","https://openalex.org/W2069580355","https://openalex.org/W1691349804","https://openalex.org/W1998955610","https://openalex.org/W2328464073","https://openalex.org/W1994369874","https://openalex.org/W2115183721"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,7,48],"range":[3],"criterion":[4],"which":[5],"is":[6,86],"sufficient":[8],"and":[9,45,71],"necessary":[10],"condition":[11],"satisfied":[12],"between":[13],"two":[14,39],"states":[15,40,56],"transformable":[16],"to":[17],"each":[18],"other":[19],"under":[20],"reversible":[21],"stochastic":[22],"local":[23],"operations":[24],"assisted":[25],"by":[26],"classical":[27],"communication":[28],"(SLOCC).":[29],"Based":[30],"on":[31],"this":[32],"criterion,":[33],"we":[34,46],"can":[35,64],"effectively":[36],"discriminate":[37],"any":[38,58],"in":[41,57,83],"$2\\\\times{M}\\\\times{N}$":[42,60],"quantum":[43],"system":[44,85],"propose":[47],"systematic":[49],"method":[50,63],"for":[51],"seeking":[52],"all":[53],"kinds":[54],"of":[55,69,78],"true":[59],"system.":[61],"This":[62],"greatly":[65],"reduce":[66],"the":[67,74],"influence":[68],"parameters":[70],"it":[72],"shows":[73],"potentially":[75],"regular":[76],"structure":[77],"inequivalent":[79],"classes.":[80],"The":[81],"classification":[82],"$2\\\\times3\\\\times{N}$":[84],"explicitly":[87],"described.":[88]},"counts_by_year":[],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2016-06-24T00:00:00"}
