{"id":"https://openalex.org/W2510290002","doi":"https://doi.org/10.1109/isit.2016.7541588","title":"Operator algebra approach to quantum capacities","display_name":"Operator algebra approach to quantum capacities","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2510290002","doi":"https://doi.org/10.1109/isit.2016.7541588","mag":"2510290002"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541588","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541588","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5070262067","display_name":"Li Gao","orcid":"https://orcid.org/0000-0002-9220-0119"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li Gao","raw_affiliation_strings":["Department of Mathematics, University of Illinois at Urbana-Champaign, USA","Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030843204","display_name":"Marius Junge","orcid":"https://orcid.org/0000-0002-5417-1636"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marius Junge","raw_affiliation_strings":["Department of Mathematics, University of Illinois at Urbana-Champaign, USA","Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031588554","display_name":"Nicholas LaRacuente","orcid":"https://orcid.org/0000-0003-0966-9272"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicholas LaRacuente","raw_affiliation_strings":["Department of Physics, University of Illinois at Urbana-Champaign, USA","Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Illinois at Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"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":"1695","last_page":"1699"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9994999766349792,"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":0.9987999796867371,"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/operator","display_name":"Operator (biology)","score":0.6727351546287537},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6329114437103271},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6105448603630066},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5803074240684509},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5786095261573792},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5703600645065308},{"id":"https://openalex.org/keywords/operator-algebra","display_name":"Operator algebra","score":0.5138566493988037},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.485723078250885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4711412787437439},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4542969763278961},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4457637369632721},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3591909408569336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3492572009563446},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33448606729507446},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19482505321502686},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15454089641571045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14495840668678284},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.11366811394691467}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6727351546287537},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6329114437103271},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6105448603630066},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5803074240684509},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5786095261573792},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5703600645065308},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.5138566493988037},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.485723078250885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4711412787437439},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4542969763278961},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4457637369632721},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3591909408569336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3492572009563446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33448606729507446},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19482505321502686},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15454089641571045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14495840668678284},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.11366811394691467},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541588","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541588","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W245337057","https://openalex.org/W1409569118","https://openalex.org/W1497259790","https://openalex.org/W1524878283","https://openalex.org/W1533233993","https://openalex.org/W1608583500","https://openalex.org/W1977545330","https://openalex.org/W1981293662","https://openalex.org/W1995875735","https://openalex.org/W1998018243","https://openalex.org/W2006835764","https://openalex.org/W2036872463","https://openalex.org/W2050608586","https://openalex.org/W2063702496","https://openalex.org/W2065143310","https://openalex.org/W2071160621","https://openalex.org/W2083257650","https://openalex.org/W2112866726","https://openalex.org/W2115698032","https://openalex.org/W2122166994","https://openalex.org/W2123809589","https://openalex.org/W2141412822","https://openalex.org/W2147059495","https://openalex.org/W2594901681","https://openalex.org/W3098384010","https://openalex.org/W3098857864","https://openalex.org/W3099018878","https://openalex.org/W3099318861","https://openalex.org/W3099874109","https://openalex.org/W3099956795","https://openalex.org/W3100022902","https://openalex.org/W3103177412","https://openalex.org/W3104314862","https://openalex.org/W3106160368","https://openalex.org/W3106425364","https://openalex.org/W4213358110","https://openalex.org/W6786295285"],"related_works":["https://openalex.org/W2551845725","https://openalex.org/W2045588195","https://openalex.org/W3093584180","https://openalex.org/W2160477533","https://openalex.org/W2122776646","https://openalex.org/W2146820122","https://openalex.org/W2389316689","https://openalex.org/W2889606102","https://openalex.org/W3144587823","https://openalex.org/W4319794034"],"abstract_inverted_index":{"Using":[0],"a":[1,27],"suitable":[2],"algebraic":[3],"setup,":[4],"we":[5,53],"find":[6],"new":[7,40,55],"estimates":[8,56],"of":[9,47],"the":[10,14,58],"quantum":[11,16,36],"capacity":[12,17],"and":[13,38,45],"potential":[15],"for":[18,57],"non-degradable":[19],"channels":[20],"obtained":[21],"by":[22],"random":[23],"unitaries":[24],"associated":[25],"with":[26],"finite":[28],"group.":[29],"This":[30],"approach":[31],"can":[32],"be":[33],"generalized":[34],"to":[35],"groups":[37],"uses":[39],"tools":[41],"from":[42],"operator":[43],"algebras":[44],"interpolation":[46],"R\u00e9nyi-type":[48],"entropies.":[49],"As":[50],"an":[51],"application,":[52],"obtain":[54],"depolarizing":[59],"channel":[60],"in":[61],"high":[62],"dimension.":[63]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}