{"id":"https://openalex.org/W2074053261","doi":"https://doi.org/10.1109/tit.2013.2286079","title":"On Dimension Bounds for Auxiliary Quantum Systems","display_name":"On Dimension Bounds for Auxiliary Quantum Systems","publication_year":2013,"publication_date":"2013-10-16","ids":{"openalex":"https://openalex.org/W2074053261","doi":"https://doi.org/10.1109/tit.2013.2286079","mag":"2074053261"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2013.2286079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2286079","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1207.3911","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Salman Beigi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Salman Beigi","raw_affiliation_strings":["Institute for Research in Fundamental Sciences (IPM), School of Mathematics, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Institute for Research in Fundamental Sciences (IPM), School of Mathematics, Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"last","author":{"id":null,"display_name":"Amin Gohari","orcid":null},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amin Gohari","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210146419"],"apc_list":null,"apc_paid":null,"fwci":0.9963,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82960015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"1","first_page":"368","last_page":"387"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5526999831199646,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5526999831199646,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.2587999999523163,"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":0.062199998646974564,"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/quantum-capacity","display_name":"Quantum capacity","score":0.6096000075340271},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5877000093460083},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.5616999864578247},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5532000064849854},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.5530999898910522},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.5228999853134155},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5203999876976013},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.508899986743927},{"id":"https://openalex.org/keywords/classical-capacity","display_name":"Classical capacity","score":0.4578999876976013}],"concepts":[{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.6096000075340271},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5877000093460083},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5616999864578247},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5532000064849854},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5530999898910522},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.5228999853134155},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5203999876976013},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.508899986743927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4959999918937683},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.4578999876976013},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.43639999628067017},{"id":"https://openalex.org/C186123792","wikidata":"https://www.wikidata.org/wiki/Q7390277","display_name":"SIC-POVM","level":5,"score":0.40299999713897705},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.39739999175071716},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.39320001006126404},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36820000410079956},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3668000102043152},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.3587000072002411},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.352400004863739},{"id":"https://openalex.org/C179957908","wikidata":"https://www.wikidata.org/wiki/Q907206","display_name":"POVM","level":5,"score":0.3443000018596649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33980000019073486},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.32659998536109924},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.30550000071525574},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.3003000020980835},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2858000099658966},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28439998626708984},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28029999136924744},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26989999413490295},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.2590999901294708}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2013.2286079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2286079","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"},{"id":"pmh:oai:arXiv.org:1207.3911","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.3911","pdf_url":"https://arxiv.org/pdf/1207.3911","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1207.3911","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.3911","pdf_url":"https://arxiv.org/pdf/1207.3911","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1535065476","https://openalex.org/W1804050347","https://openalex.org/W1966065707","https://openalex.org/W1968165454","https://openalex.org/W1979554596","https://openalex.org/W1981735089","https://openalex.org/W1989658026","https://openalex.org/W2000270505","https://openalex.org/W2018396687","https://openalex.org/W2025979689","https://openalex.org/W2028815089","https://openalex.org/W2033336691","https://openalex.org/W2044345940","https://openalex.org/W2046480693","https://openalex.org/W2051127273","https://openalex.org/W2058625806","https://openalex.org/W2068884802","https://openalex.org/W2071849960","https://openalex.org/W2073801892","https://openalex.org/W2077089904","https://openalex.org/W2078345446","https://openalex.org/W2086651839","https://openalex.org/W2108732680","https://openalex.org/W2114473497","https://openalex.org/W2115698032","https://openalex.org/W2119541346","https://openalex.org/W2123142728","https://openalex.org/W2128006942","https://openalex.org/W2135830616","https://openalex.org/W2137301158","https://openalex.org/W2142039633","https://openalex.org/W2174883028","https://openalex.org/W2963389736","https://openalex.org/W3101497329","https://openalex.org/W4300840296","https://openalex.org/W6638767862","https://openalex.org/W6639963569"],"related_works":[],"abstract_inverted_index":{"Expressions":[0],"of":[1,24,28,44,79,89,100,120,128,148],"several":[2,67],"capacity":[3],"regions":[4],"in":[5,77,93],"quantum":[6,14,42,63,106,118,145,152],"information":[7],"theory":[8],"involve":[9],"an":[10],"optimization":[11],"over":[12],"auxiliary":[13,30,64,107],"registers.":[15],"Evaluating":[16],"such":[17,74,111],"expressions":[18,59,75,102],"requires":[19,124],"bounds":[20],"on":[21],"the":[22,25,45,87,121,158],"dimension":[23],"Hilbert":[26],"space":[27],"these":[29,94],"registers,":[31],"for":[32,57],"which":[33,131,149],"no":[34],"nontrivial":[35],"technique":[36],"is":[37,96,150,154],"known;":[38],"we":[39,51,72,113,132],"lack":[40],"a":[41,53,61,104,117,125,129,141],"analog":[43,119],"Carath\u00e9odory":[46,122],"theorem.":[47],"In":[48],"this":[49],"paper,":[50],"develop":[52],"new":[54],"non-Carath\u00e9odory-type":[55],"tool":[56],"evaluating":[58,101],"involving":[60],"single":[62,105],"register":[65],"and":[66,82],"classical":[68,160],"random":[69],"variables.":[70],"As":[71],"show,":[73],"appear":[76],"problems":[78],"entanglement-assisted":[80,83],"Gray-Wyner":[81],"channel":[84],"simulation,":[85],"where":[86],"question":[88],"whether":[90],"entanglement":[91],"helps":[92],"settings":[95],"related":[97],"to":[98],"that":[99,115,151],"with":[103],"register.":[108],"To":[109],"evaluate":[110],"expressions,":[112],"argue":[114],"developing":[116],"theorem":[123],"better":[126],"understanding":[127],"notion":[130],"call":[133],"\u201cquantum":[134],"conditioning.\u201d":[135],"We":[136],"then":[137],"proceed":[138],"by":[139],"proving":[140],"few":[142],"results":[143],"about":[144],"conditioning,":[146],"one":[147],"conditioning":[153],"strictly":[155],"richer":[156],"than":[157],"usual":[159],"conditioning.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
