{"id":"https://openalex.org/W4401070871","doi":"https://doi.org/10.1109/tit.2024.3435412","title":"The Existence of Distinguishable Bases in Three-Dimensional Subspaces of Qutrit-Qudit Systems Under One-Way Local Projective Measurements and Classical Communication","display_name":"The Existence of Distinguishable Bases in Three-Dimensional Subspaces of Qutrit-Qudit Systems Under One-Way Local Projective Measurements and Classical Communication","publication_year":2024,"publication_date":"2024-07-29","ids":{"openalex":"https://openalex.org/W4401070871","doi":"https://doi.org/10.1109/tit.2024.3435412"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2024.3435412","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2024.3435412","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5006347821","display_name":"Zhiwei Song","orcid":"https://orcid.org/0000-0002-5452-7890"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwei Song","raw_affiliation_strings":["School of Mathematical Sciences and the International Research Institute for Multidisciplinary Science, Beihang University, Beijing, China","International Research Institute for Multidisciplinary Science, School of Mathematical Sciences, Beihang university, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-5452-7890","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the International Research Institute for Multidisciplinary Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"International Research Institute for Multidisciplinary Science, School of Mathematical Sciences, Beihang university, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100443769","display_name":"Lin Chen","orcid":"https://orcid.org/0000-0002-8367-3651"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Chen","raw_affiliation_strings":["School of Mathematical Sciences and the International Research Institute for Multidisciplinary Science, Beihang University, Beijing, China","International Research Institute for Multidisciplinary Science, School of Mathematical Sciences, Beihang university, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and the International Research Institute for Multidisciplinary Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"International Research Institute for Multidisciplinary Science, School of Mathematical Sciences, Beihang university, Beijing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109069317","display_name":"Dragomir \u017d. \u00d0okovi\u0107","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":"Dragomir \u017d \u0110okovi\u0107","raw_affiliation_strings":["Department of Pure Mathematics and the Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada","Department of Pure Mathematics and Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada"],"raw_orcid":"https://orcid.org/0000-0002-0176-2395","affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and the Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Pure Mathematics and Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2778,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60536626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"70","issue":"12","first_page":"8806","last_page":"8815"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9966999888420105,"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":0.9966999888420105,"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":0.9940000176429749,"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":0.9886999726295471,"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/projective-test","display_name":"Projective test","score":0.7154956459999084},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7032293081283569},{"id":"https://openalex.org/keywords/qutrit","display_name":"Qutrit","score":0.6496157646179199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.557593822479248},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.419331431388855},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4131150245666504},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3720918297767639},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3201226592063904},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1562950611114502},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.10955154895782471},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08220800757408142}],"concepts":[{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.7154956459999084},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7032293081283569},{"id":"https://openalex.org/C56085360","wikidata":"https://www.wikidata.org/wiki/Q2300171","display_name":"Qutrit","level":4,"score":0.6496157646179199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.557593822479248},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.419331431388855},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4131150245666504},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3720918297767639},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3201226592063904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1562950611114502},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.10955154895782471},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08220800757408142},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2024.3435412","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tit.2024.3435412","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1599864041","display_name":null,"funder_award_id":"ZG216S2110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2414541193","display_name":null,"funder_award_id":"11871089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W560412551","https://openalex.org/W1529376890","https://openalex.org/W1588953979","https://openalex.org/W1607914559","https://openalex.org/W1623920228","https://openalex.org/W1667381704","https://openalex.org/W1966949903","https://openalex.org/W1974293884","https://openalex.org/W1979318945","https://openalex.org/W1985561277","https://openalex.org/W1986407511","https://openalex.org/W1990594660","https://openalex.org/W1991031364","https://openalex.org/W2004692749","https://openalex.org/W2009257671","https://openalex.org/W2012292761","https://openalex.org/W2015247312","https://openalex.org/W2032795441","https://openalex.org/W2038054480","https://openalex.org/W2041196579","https://openalex.org/W2060887031","https://openalex.org/W2064857546","https://openalex.org/W2074333174","https://openalex.org/W2079332113","https://openalex.org/W2089404617","https://openalex.org/W2091158890","https://openalex.org/W2115444832","https://openalex.org/W2130117852","https://openalex.org/W2134290596","https://openalex.org/W2135830616","https://openalex.org/W2257558898","https://openalex.org/W2790683692","https://openalex.org/W2887269267","https://openalex.org/W3208307853","https://openalex.org/W4205863124","https://openalex.org/W4210409549","https://openalex.org/W4242448156","https://openalex.org/W4244558649","https://openalex.org/W4322494416","https://openalex.org/W4353055568","https://openalex.org/W4367609992","https://openalex.org/W4384930704","https://openalex.org/W6636709309"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2415907807","https://openalex.org/W67406197","https://openalex.org/W2950357787","https://openalex.org/W2128868421","https://openalex.org/W4383176665","https://openalex.org/W3097543344","https://openalex.org/W1861044231","https://openalex.org/W4390489520","https://openalex.org/W2012986074"],"abstract_inverted_index":{"We":[0,39,62,137],"show":[1,79,139],"that":[2,80,140],"every":[3,109,123,141],"three-dimensional":[4,43,66],"subspace":[5,84],"of":[6,59,104,122],"qutrit-qudit":[7],"complex":[8],"or":[9],"real":[10],"systems":[11],"has":[12,112],"a":[13,27,42,65,96,107,148],"distinguishable":[14,47,68],"basis":[15,48],"under":[16,85],"one-way":[17,86],"local":[18,102],"projective":[19],"measurements":[20],"and":[21,51,94,117],"classical":[22,115,120,150],"communication":[23],"(LPCC).":[24],"This":[25],"solves":[26],"long-standing":[28],"open":[29],"problem":[30],"proposed":[31],"in":[32],"[J.":[33],"Phys.":[34],"A,":[35],"40,":[36],"7937,":[37],"2007].":[38],"further":[40],"construct":[41,64],"space":[44,70],"whose":[45],"locally":[46,67],"is":[49,126],"unique":[50],"apply":[52],"the":[53,57,75,101,118,153],"uniqueness":[54],"property":[55],"to":[56],"task":[58],"state":[60,143,151],"transformation.":[61],"also":[63,138],"multipartite":[69],"assisted":[71],"with":[72],"entanglement.":[73],"On":[74],"other":[76],"hand,":[77],"we":[78],"four-dimensional":[81],"indistinguishable":[82],"bipartite":[83],"LPCC":[87],"exists.":[88],"Our":[89],"work":[90],"offers":[91],"profound":[92],"insights":[93],"introduces":[95],"theoretical":[97],"tool":[98],"for":[99],"understanding":[100],"distinguishability":[103],"subspace.":[105],"As":[106],"consequence,":[108],"qutrit":[110],"channel":[111,125],"optimal":[113],"environment-assisting":[114],"capacity,":[116],"environment-assisted":[119],"capacity":[121],"rank-three":[124],"at":[127],"least":[128],"<inline-formula":[129],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[130],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[131],"<tex-math":[132],"notation=\"LaTeX\">$\\log":[133],"_{2}":[134],"3$":[135],"</tex-math></inline-formula>.":[136],"two-qutrit":[142],"can":[144],"be":[145],"converted":[146],"into":[147],"generalized":[149],"near":[152],"quantum-classical":[154],"boundary":[155],"by":[156],"an":[157],"entanglement-breaking":[158],"channel.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2024-07-31T00:00:00"}
