{"id":"https://openalex.org/W2088910148","doi":"https://doi.org/10.1109/tit.2012.2210859","title":"The Minimum Entropy Output of a Quantum Channel Is Locally Additive","display_name":"The Minimum Entropy Output of a Quantum Channel Is Locally Additive","publication_year":2012,"publication_date":"2012-08-14","ids":{"openalex":"https://openalex.org/W2088910148","doi":"https://doi.org/10.1109/tit.2012.2210859","mag":"2088910148"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2210859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2210859","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/1105.6122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089321215","display_name":"Gilad Gour","orcid":"https://orcid.org/0000-0002-4892-4072"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Gilad Gour","raw_affiliation_strings":["Institute forQuantum Information Science and the Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada","Dept. of Math. & Stat., Univ. of Calgary, Calgary, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Institute forQuantum Information Science and the Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Dept. of Math. & Stat., Univ. of Calgary, Calgary, AB, Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002855648","display_name":"Shmuel Friedland","orcid":"https://orcid.org/0000-0002-0423-5005"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shmuel Friedland","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, Chicago, IL, USA","Dept. of Math., Stat. & Comput. Sci., Univ. of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Dept. of Math., Stat. & Comput. Sci., Univ. of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089321215"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":null,"apc_paid":null,"fwci":1.3373,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84252555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"1","first_page":"603","last_page":"614"},"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":0.9994999766349792,"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":0.9991999864578247,"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/entropy","display_name":"Entropy (arrow of time)","score":0.5001723766326904},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4372832179069519},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4349032938480377},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.41286325454711914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39945584535598755},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.38551902770996094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36210107803344727},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.2766689658164978},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25058242678642273},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23540335893630981},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17191022634506226}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5001723766326904},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4372832179069519},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4349032938480377},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.41286325454711914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39945584535598755},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38551902770996094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36210107803344727},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2766689658164978},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25058242678642273},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23540335893630981},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17191022634506226}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2012.2210859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2210859","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:1105.6122","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.6122","pdf_url":"https://arxiv.org/pdf/1105.6122","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:1105.6122","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.6122","pdf_url":"https://arxiv.org/pdf/1105.6122","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1482224246","https://openalex.org/W1488435683","https://openalex.org/W1545333985","https://openalex.org/W1563757785","https://openalex.org/W1568529095","https://openalex.org/W1575147392","https://openalex.org/W1845175544","https://openalex.org/W1887204359","https://openalex.org/W1965633412","https://openalex.org/W1975244148","https://openalex.org/W1977090627","https://openalex.org/W1979688176","https://openalex.org/W1998570004","https://openalex.org/W2002429786","https://openalex.org/W2006991014","https://openalex.org/W2014135610","https://openalex.org/W2016648670","https://openalex.org/W2019983561","https://openalex.org/W2024877718","https://openalex.org/W2033879010","https://openalex.org/W2038040302","https://openalex.org/W2062799611","https://openalex.org/W2063718207","https://openalex.org/W2081349667","https://openalex.org/W2088910148","https://openalex.org/W2089671929","https://openalex.org/W2141950574","https://openalex.org/W2142453065","https://openalex.org/W2148576428","https://openalex.org/W2248300191","https://openalex.org/W3037737784","https://openalex.org/W3098683797","https://openalex.org/W3102840074","https://openalex.org/W3105808705","https://openalex.org/W3106425364","https://openalex.org/W3148774511","https://openalex.org/W4300657400","https://openalex.org/W6638875705","https://openalex.org/W6639276803","https://openalex.org/W6673056011","https://openalex.org/W6680875157"],"related_works":["https://openalex.org/W2180033908","https://openalex.org/W2075237332","https://openalex.org/W2061278088","https://openalex.org/W2163103544","https://openalex.org/W3039080452","https://openalex.org/W3033899355","https://openalex.org/W1978729877","https://openalex.org/W3025482071","https://openalex.org/W4210452449","https://openalex.org/W2921877942"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,31],"the":[3,19,32,35],"minimum":[4,36],"von":[5],"Neumann":[6],"entropy":[7,37],"output":[8,38],"of":[9,34,43],"a":[10,40],"quantum":[11,44],"channel":[12],"is":[13,39],"locally":[14],"additive.":[15],"Hastings'":[16],"counterexample":[17],"for":[18],"additivity":[20],"conjecture":[21],"makes":[22],"this":[23],"result":[24],"quite":[25],"surprising.":[26],"In":[27],"particular,":[28],"it":[29],"indicates":[30],"nonadditivity":[33],"global":[41],"effect":[42],"channels.":[45]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}