{"id":"https://openalex.org/W2146772928","doi":"https://doi.org/10.1109/tit.2011.2158896","title":"An Infinite Sequence of Additive Channels: The Classical Capacity of Cloning Channels","display_name":"An Infinite Sequence of Additive Channels: The Classical Capacity of Cloning Channels","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2146772928","doi":"https://doi.org/10.1109/tit.2011.2158896","mag":"2146772928"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2158896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2158896","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/0903.1638","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059502181","display_name":"Kamil Br\u00e1dler","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Kamil Bradler","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, QUE, Canada","[Sch. of Comput. Sci., McGill Univ., Montreal, QC, Canada]"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"[Sch. of Comput. Sci., McGill Univ., Montreal, QC, Canada]","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059502181"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":3.9572,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.94143237,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"57","issue":"8","first_page":"5497","last_page":"5503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9983000159263611,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9969000220298767,"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/classical-capacity","display_name":"Classical capacity","score":0.8179289102554321},{"id":"https://openalex.org/keywords/quantum-cloning","display_name":"Quantum cloning","score":0.7927552461624146},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.6790375709533691},{"id":"https://openalex.org/keywords/amplitude-damping-channel","display_name":"Amplitude damping channel","score":0.6561638116836548},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.591321587562561},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5886776447296143},{"id":"https://openalex.org/keywords/quantum-capacity","display_name":"Quantum capacity","score":0.5650838017463684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.560105562210083},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5370389819145203},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.49178341031074524},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.468397855758667},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4380122423171997},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41545042395591736},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.38364219665527344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38142746686935425},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.3002432584762573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29446157813072205},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24517855048179626},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.24048498272895813},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20576432347297668},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11021602153778076},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.09636315703392029}],"concepts":[{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.8179289102554321},{"id":"https://openalex.org/C2776887110","wikidata":"https://www.wikidata.org/wiki/Q7269018","display_name":"Quantum cloning","level":5,"score":0.7927552461624146},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.6790375709533691},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.6561638116836548},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.591321587562561},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5886776447296143},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.5650838017463684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.560105562210083},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5370389819145203},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.49178341031074524},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.468397855758667},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4380122423171997},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41545042395591736},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.38364219665527344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38142746686935425},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3002432584762573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29446157813072205},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24517855048179626},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24048498272895813},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20576432347297668},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11021602153778076},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.09636315703392029},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2011.2158896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2158896","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:0903.1638","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.1638","pdf_url":"https://arxiv.org/pdf/0903.1638","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.244.4457","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.244.4457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0903.1638v3.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0903.1638","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.1638","pdf_url":"https://arxiv.org/pdf/0903.1638","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":42,"referenced_works":["https://openalex.org/W1568529095","https://openalex.org/W1613727179","https://openalex.org/W1650996955","https://openalex.org/W1887204359","https://openalex.org/W1971499636","https://openalex.org/W1975244148","https://openalex.org/W2001619599","https://openalex.org/W2005612588","https://openalex.org/W2009225979","https://openalex.org/W2015775929","https://openalex.org/W2024584597","https://openalex.org/W2024974438","https://openalex.org/W2062799611","https://openalex.org/W2070863527","https://openalex.org/W2071160621","https://openalex.org/W2079150681","https://openalex.org/W2082113083","https://openalex.org/W2087674711","https://openalex.org/W2095418989","https://openalex.org/W2102934948","https://openalex.org/W2107162203","https://openalex.org/W2118148695","https://openalex.org/W2141412822","https://openalex.org/W2142453065","https://openalex.org/W2151375190","https://openalex.org/W2166279781","https://openalex.org/W2594901681","https://openalex.org/W3038125210","https://openalex.org/W3098016880","https://openalex.org/W3098332320","https://openalex.org/W3098683797","https://openalex.org/W3099936544","https://openalex.org/W3100059293","https://openalex.org/W3100294466","https://openalex.org/W3100341354","https://openalex.org/W3104425403","https://openalex.org/W3106425364","https://openalex.org/W3148774511","https://openalex.org/W4285719527","https://openalex.org/W6636313890","https://openalex.org/W6639276803","https://openalex.org/W6675487322"],"related_works":["https://openalex.org/W2146772928","https://openalex.org/W1985161871","https://openalex.org/W1915043874","https://openalex.org/W3208208393","https://openalex.org/W2285798261","https://openalex.org/W2946959924","https://openalex.org/W1989739346","https://openalex.org/W2168764756","https://openalex.org/W2082113083","https://openalex.org/W350297322"],"abstract_inverted_index":{"We":[0],"introduce":[1],"an":[2,59,88,100],"infinite":[3,89],"sequence":[4],"of":[5,46,52,62,66,91,99],"quantum":[6,23,28,78,108],"channels":[7,24,42,93],"for":[8,70,75,103],"which":[9,76,104],"the":[10,22,40,44,53,64,67,71,77,105],"Holevo":[11,68],"capacity":[12,69,79],"is":[13,18,34,80],"additive.":[14],"The":[15,31],"channel":[16,74,102,109],"series":[17,90],"closely":[19],"related":[20],"to":[21],"arising":[25],"from":[26],"universal":[27],"cloning":[29],"machines.":[30],"additivity":[32,65],"proof":[33],"motivated":[35],"by":[36],"a":[37,50,96],"special":[38],"property":[39,45],"studied":[41],"enjoy:":[43],"conjugate":[47],"degradability.":[48],"As":[49],"consequence":[51],"announced":[54],"proof,":[55],"we":[56,84],"also":[57,95],"provide":[58],"easy":[60],"way":[61],"proving":[63],"original":[72],"Unruh":[73],"already":[81],"known.":[82],"Consequently,":[83],"present":[85],"not":[86],"only":[87],"finite-dimensional":[92],"but":[94],"nontrivial":[97],"example":[98],"infinite-dimensional":[101],"classical":[106],"and":[107],"capacities":[110],"are":[111],"easily":[112],"calculable.":[113]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}