{"id":"https://openalex.org/W1462868917","doi":null,"title":"Is Separability from Spectrum Determined by the Partial Transpose?","display_name":"Is Separability from Spectrum Determined by the Partial Transpose?","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1462868917","mag":"1462868917"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.747.5952","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.5952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1405.5853.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"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/A5084587064","display_name":"Srinivasan Arunachalam","orcid":"https://orcid.org/0000-0002-1338-8169","observed_orcids":["https://orcid.org/0000-0002-1338-8169"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Srinivasan Arunachalam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008998456","display_name":"Nathaniel Johnston","orcid":"https://orcid.org/0000-0002-7456-1447","observed_orcids":["https://orcid.org/0000-0002-7456-1447"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nathaniel Johnston","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Vincent Russo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vincent Russo","raw_affiliation_strings":[],"raw_orcid":null,"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":2,"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":0.9872999787330627,"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":0.9872999787330627,"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":0.007400000002235174,"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":0.0010999999940395355,"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/positive-partial-transpose","display_name":"positive partial transpose","score":0.8450000286102295},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"quantum entanglement","score":0.8619999885559082},{"id":"https://openalex.org/keywords/separability-criterion","display_name":"separability criteria","score":0.8859999775886536},{"id":"https://openalex.org/keywords/realignment-criterion","display_name":"realignment criterion","score":0.9990000128746033},{"id":"https://openalex.org/keywords/isotropic-states","display_name":"isotropic states","score":0.9729999899864197},{"id":"https://openalex.org/keywords/werner-states","display_name":"Werner states","score":1.0},{"id":"https://openalex.org/keywords/entanglement-witnesses","display_name":"entanglement witnesses","score":0.9909999966621399},{"id":"https://openalex.org/keywords/eigenvalue-bounds","display_name":"eigenvalue bounds","score":0.7200000286102295}],"concepts":[{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.8834065198898315},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.49994325637817383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45862123370170593},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2180139422416687},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06916573643684387},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.057038724422454834}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.747.5952","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.5952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1405.5853.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1519530038","https://openalex.org/W1644115585","https://openalex.org/W1964728833","https://openalex.org/W1977036827","https://openalex.org/W1985426276","https://openalex.org/W1985737977","https://openalex.org/W1998912624","https://openalex.org/W2000407553","https://openalex.org/W2003989474","https://openalex.org/W2016990905","https://openalex.org/W2026298842","https://openalex.org/W2028679634","https://openalex.org/W2032083080","https://openalex.org/W2034920898","https://openalex.org/W2037468132","https://openalex.org/W2044630019","https://openalex.org/W2048648826","https://openalex.org/W2052323305","https://openalex.org/W2057104066","https://openalex.org/W2062292260","https://openalex.org/W2074058884","https://openalex.org/W2088824552","https://openalex.org/W2094092037","https://openalex.org/W2100440346","https://openalex.org/W2103713333","https://openalex.org/W2116102644","https://openalex.org/W2148576428","https://openalex.org/W2149487747","https://openalex.org/W2159566537","https://openalex.org/W2625656753","https://openalex.org/W3037737784","https://openalex.org/W3038000163"],"related_works":["https://openalex.org/W2952983737","https://openalex.org/W1977036827","https://openalex.org/W7096161191","https://openalex.org/W3099355896","https://openalex.org/W2089501140","https://openalex.org/W2237825394","https://openalex.org/W2031632664","https://openalex.org/W2057104066","https://openalex.org/W2116898717","https://openalex.org/W2284954669"],"abstract_inverted_index":{"The":[0],"separability":[1,61],"from":[2,37],"spectrum":[3,38],"problem":[4],"asks":[5],"for":[6,25,49,97,109],"a":[7],"characterization":[8],"of":[9,100,119],"the":[10,18,73,76,79,86,98,115],"quantum":[11],"states":[12],"\u03c1":[13,34],"\u2208":[14],"Mm":[15],"\u2297Mn":[16],"with":[17],"property":[19],"that":[20,33,58,92,117],"U\u03c1U":[21,43],"\u2020":[22,44],"is":[23,35],"separable":[24,36],"all":[26,50],"unitary":[27,51],"matrices":[28,52],"U.":[29,53],"We":[30,89],"provide":[31],"evidence":[32],"if":[39,42],"and":[40,82,85,102,105],"only":[41],"has":[45],"positive":[46],"partial":[47],"transpose":[48],"In":[54],"particular,":[55],"we":[56],"show":[57,91],"many":[59],"well-known":[60],"criteria":[62],"are":[63,112,118],"unable":[64],"to":[65],"detect":[66],"entanglement":[67,110],"in":[68],"any":[69],"such":[70],"state,":[71],"including":[72],"range":[74],"criterion,":[75,78],"realignment":[77],"Choi":[80],"map":[81],"its":[83],"generalizations,":[84],"Breuer\u2013Hall":[87],"map.":[88],"also":[90],"these":[93],"two":[94],"properties":[95],"coincide":[96],"families":[99],"isotropic":[101],"Werner":[103],"states,":[104],"several":[106],"eigenvalue":[107],"results":[108],"witnesses":[111],"proved":[113],"along":[114],"way":[116],"independent":[120],"interest.":[121],"1":[122]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-10-27T00:00:00"}