{"id":"https://openalex.org/W1597300680","doi":"https://doi.org/10.26421/qic12.11-12-3","title":"Limitation for linear maps in a class for detection and quantification of bipartite nonclassical correlation","display_name":"Limitation for linear maps in a class for detection and quantification of bipartite nonclassical correlation","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W1597300680","doi":"https://doi.org/10.26421/qic12.11-12-3","mag":"1597300680"},"language":"en","primary_location":{"id":"doi:10.26421/qic12.11-12-3","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic12.11-12-3","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5005753997","display_name":"Akira Saitoh","orcid":"https://orcid.org/0000-0001-8225-3068"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Akira SaiToh","raw_affiliation_strings":["Quantum Information Science Theory Group, National Institute of Informatics, Tokyo, Japan and Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, K ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Quantum Information Science Theory Group, National Institute of Informatics, Tokyo, Japan and Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, K ...#TAB#","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109721273","display_name":"R.D. Rahimi","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Roabeh Rahimi","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo, Waterloo, ON (Canada)"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo, Waterloo, ON (Canada)","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012723994","display_name":"Mikio Nakahara","orcid":"https://orcid.org/0000-0001-5219-9398"},"institutions":[{"id":"https://openalex.org/I916559398","display_name":"Kindai University","ror":"https://ror.org/05kt9ap64","country_code":"JP","type":"education","lineage":["https://openalex.org/I916559398"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mikio Nakahara","raw_affiliation_strings":["Research Center for Quantum Computing, Interdisciplinary, Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka, Japan and Department of Physics, Kinki University, Hig ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Center for Quantum Computing, Interdisciplinary, Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka, Japan and Department of Physics, Kinki University, Hig ...#TAB#","institution_ids":["https://openalex.org/I916559398"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005753997"],"corresponding_institution_ids":["https://openalex.org/I184597095"],"apc_list":null,"apc_paid":null,"fwci":2.5688,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8961289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"11&12","first_page":"944","last_page":"952"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9986000061035156,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7739624977111816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7514834403991699},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6630105972290039},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5855282545089722},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5102746486663818},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5088536739349365},{"id":"https://openalex.org/keywords/transposition","display_name":"Transposition (logic)","score":0.48715755343437195},{"id":"https://openalex.org/keywords/transpose","display_name":"Transpose","score":0.44378119707107544},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44071653485298157},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.416628360748291},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3944467306137085},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3796919286251068},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33448776602745056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3275693655014038},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1866842806339264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09944465756416321},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09426972270011902},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09293815493583679}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7739624977111816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7514834403991699},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6630105972290039},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5855282545089722},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5102746486663818},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5088536739349365},{"id":"https://openalex.org/C12455157","wikidata":"https://www.wikidata.org/wiki/Q7835331","display_name":"Transposition (logic)","level":2,"score":0.48715755343437195},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.44378119707107544},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44071653485298157},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.416628360748291},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3944467306137085},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3796919286251068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33448776602745056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3275693655014038},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1866842806339264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09944465756416321},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09426972270011902},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09293815493583679},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26421/qic12.11-12-3","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic12.11-12-3","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1481572651","https://openalex.org/W1514715588","https://openalex.org/W1551423460","https://openalex.org/W1571385165","https://openalex.org/W1770873769","https://openalex.org/W1974293884","https://openalex.org/W1979571846","https://openalex.org/W1983125724","https://openalex.org/W1985763576","https://openalex.org/W2000467687","https://openalex.org/W2003773651","https://openalex.org/W2005167555","https://openalex.org/W2014799111","https://openalex.org/W2015247312","https://openalex.org/W2020725861","https://openalex.org/W2033441713","https://openalex.org/W2034920898","https://openalex.org/W2043317809","https://openalex.org/W2058263118","https://openalex.org/W2068813638","https://openalex.org/W2070446113","https://openalex.org/W2074248980","https://openalex.org/W2074333174","https://openalex.org/W2080933461","https://openalex.org/W2081104969","https://openalex.org/W2091648847","https://openalex.org/W2103713333","https://openalex.org/W2293633824","https://openalex.org/W2329504308","https://openalex.org/W2333464907","https://openalex.org/W2970789867","https://openalex.org/W3103424578","https://openalex.org/W3122850579","https://openalex.org/W4241768438"],"related_works":["https://openalex.org/W2058772615","https://openalex.org/W2260035625","https://openalex.org/W2371896326","https://openalex.org/W3124691708","https://openalex.org/W2405987656","https://openalex.org/W1996072328","https://openalex.org/W1979964775","https://openalex.org/W2032971769","https://openalex.org/W1597300680","https://openalex.org/W2950730172"],"abstract_inverted_index":{"Eigenvalue-preserving-but-not-completely-eigenvalue-preserving":[0],"(EnCE)":[1],"maps":[2,44,100],"were":[3],"previously":[4],"introduced":[5],"for":[6,62],"the":[7,17,24,34,48,51,63,98,103],"purpose":[8],"of":[9,13,26,53,105],"detection":[10],"and":[11,101],"quantification":[12],"nonclassical":[14,27],"correlation,":[15],"employing":[16],"paradigm":[18],"where":[19],"nonvanishing":[20],"quantum":[21],"discord":[22],"implies":[23],"existence":[25],"correlation.":[28],"It":[29],"is":[30,37,72],"known":[31],"that":[32,70],"only":[33],"matrix":[35,56],"transposition":[36],"nontrivial":[38],"among":[39,75],"Hermiticity-preserving":[40],"(HP)":[41],"linear":[42,79,89,99],"EnCE":[43,80],"when":[45],"we":[46,68],"use":[47],"changes":[49],"in":[50],"eigenvalues":[52],"a":[54,59,85,94],"density":[55],"due":[57],"to":[58],"partial":[60],"map":[61],"purpose.":[64],"In":[65],"this":[66,71],"paper,":[67],"prove":[69],"true":[73],"even":[74],"not-necessarily":[76],"HP":[77],"(nnHP)":[78],"maps.":[81,107],"The":[82],"proof":[83],"utilizes":[84],"conventional":[86],"theorem":[87],"on":[88,97],"preservers.":[90],"This":[91],"result":[92],"imposes":[93],"strong":[95],"limitation":[96],"promotes":[102],"importance":[104],"nonlinear":[106]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
