{"id":"https://openalex.org/W2126886867","doi":"https://doi.org/10.1109/isit.2007.4557086","title":"Capacity of Input-Memoryless Causal Ergodic Classical-Quantum Channels","display_name":"Capacity of Input-Memoryless Causal Ergodic Classical-Quantum Channels","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2126886867","doi":"https://doi.org/10.1109/isit.2007.4557086","mag":"2126886867"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2007.4557086","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5064460928","display_name":"Igor Bjelakovi\u0107","orcid":"https://orcid.org/0000-0002-4588-6357"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Igor Bjelakovic","raw_affiliation_strings":["Heinrich Hertz Chair for Mobile Communications, Berlin University of Technology, Berlin, Germany","Berlin University of Technology, Berlin#TAB#"],"affiliations":[{"raw_affiliation_string":"Heinrich Hertz Chair for Mobile Communications, Berlin University of Technology, Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Berlin University of Technology, Berlin#TAB#","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000732219","display_name":"Holger Boche","orcid":"https://orcid.org/0000-0002-8375-8946"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Holger Boche","raw_affiliation_strings":["Heinrich Hertz Chair for Mobile Communications, Berlin University of Technology, Berlin, Germany","Berlin University of Technology, Berlin#TAB#"],"affiliations":[{"raw_affiliation_string":"Heinrich Hertz Chair for Mobile Communications, Berlin University of Technology, Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Berlin University of Technology, Berlin#TAB#","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064460928"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11262252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"251","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9993000030517578,"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/ergodic-theory","display_name":"Ergodic theory","score":0.8332349061965942},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.7011013031005859},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.6381381154060364},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6379969120025635},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.543502688407898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.52577805519104},{"id":"https://openalex.org/keywords/sketch","display_name":"Sketch","score":0.4842810034751892},{"id":"https://openalex.org/keywords/classical-capacity","display_name":"Classical capacity","score":0.4778035283088684},{"id":"https://openalex.org/keywords/stationary-ergodic-process","display_name":"Stationary ergodic process","score":0.4266763925552368},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41770845651626587},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4157906770706177},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36297494173049927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33583077788352966},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2388250231742859},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2252090573310852},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.17360249161720276},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10328122973442078}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8332349061965942},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7011013031005859},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.6381381154060364},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6379969120025635},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.543502688407898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.52577805519104},{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.4842810034751892},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.4778035283088684},{"id":"https://openalex.org/C151424130","wikidata":"https://www.wikidata.org/wiki/Q17123911","display_name":"Stationary ergodic process","level":4,"score":0.4266763925552368},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41770845651626587},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4157906770706177},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36297494173049927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33583077788352966},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2388250231742859},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2252090573310852},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.17360249161720276},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10328122973442078},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2007.4557086","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557086","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1531679840","https://openalex.org/W1533213248","https://openalex.org/W1594563152","https://openalex.org/W1602420091","https://openalex.org/W1908291764","https://openalex.org/W1971585707","https://openalex.org/W1978910765","https://openalex.org/W2001619599","https://openalex.org/W2013396754","https://openalex.org/W2049471987","https://openalex.org/W2070648893","https://openalex.org/W2076259017","https://openalex.org/W2114473497","https://openalex.org/W2115328106","https://openalex.org/W2146851878","https://openalex.org/W2154564336","https://openalex.org/W2795945545","https://openalex.org/W3098133238","https://openalex.org/W4243533276","https://openalex.org/W4298228909","https://openalex.org/W6669699645","https://openalex.org/W7042775058"],"related_works":["https://openalex.org/W4250397825","https://openalex.org/W2523613823","https://openalex.org/W964575223","https://openalex.org/W124275629","https://openalex.org/W2532578770","https://openalex.org/W3106110605","https://openalex.org/W2128867967","https://openalex.org/W3176570594","https://openalex.org/W2112222065","https://openalex.org/W1562048139"],"abstract_inverted_index":{"In":[0,22],"this":[1],"contribution":[2],"we":[3,26],"describe":[4],"some":[5],"structural":[6],"properties":[7],"of":[8,17,19,46],"ergodic":[9,36],"classical-quantum":[10,39],"channels":[11],"and":[12,43],"provide":[13],"several":[14,44],"equivalent":[15],"conditions":[16],"ergodicity":[18],"such":[20],"channels.":[21,40],"the":[23,28,32,47],"second":[24],"part":[25],"sketch":[27],"coding":[29],"theorem":[30],"with":[31],"weak":[33],"converse":[34],"for":[35],"input-memoryless":[37],"causal":[38],"Full":[41],"proofs":[42],"extensions":[45],"results":[48],"described":[49],"here":[50],"are":[51],"contained":[52],"in":[53],"a":[54],"accompanying":[55],"paper.":[56]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}