{"id":"https://openalex.org/W2951550005","doi":"https://doi.org/10.1109/tit.2018.2869460","title":"Polar Codes for Arbitrary Classical-Quantum Channels and Arbitrary cq-MACs","display_name":"Polar Codes for Arbitrary Classical-Quantum Channels and Arbitrary cq-MACs","publication_year":2018,"publication_date":"2018-09-21","ids":{"openalex":"https://openalex.org/W2951550005","doi":"https://doi.org/10.1109/tit.2018.2869460","mag":"2951550005"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2018.2869460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2869460","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/1701.03397","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054758065","display_name":"Rajai Nasser","orcid":"https://orcid.org/0000-0003-0057-1201"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Rajai Nasser","raw_affiliation_strings":["Department of Computer, \u00c9cole Polytechnique F\u00e9de\u00e9rale de Lausanne, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-0057-1201","affiliations":[{"raw_affiliation_string":"Department of Computer, \u00c9cole Polytechnique F\u00e9de\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067801862","display_name":"Joseph M. Renes","orcid":"https://orcid.org/0000-0003-2302-8025"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Joseph M. Renes","raw_affiliation_strings":["Institute of Theoretical Physics, ETH Z\u00fcrich, Z\u00fcrich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-2302-8025","affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, ETH Z\u00fcrich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8584,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79437755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"64","issue":"11","first_page":"7424","last_page":"7442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.553104817867279},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.4958430230617523},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.49325627088546753},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3719828724861145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3277260959148407},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19761723279953003}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.553104817867279},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.4958430230617523},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49325627088546753},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3719828724861145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3277260959148407},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19761723279953003}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2018.2869460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2869460","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:1701.03397","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.03397","pdf_url":"https://arxiv.org/pdf/1701.03397","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:infoscience.epfl.ch:261659","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/261659","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.03397","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.03397","pdf_url":"https://arxiv.org/pdf/1701.03397","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2951550005.pdf","grobid_xml":"https://content.openalex.org/works/W2951550005.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W32507011","https://openalex.org/W585133165","https://openalex.org/W1629914808","https://openalex.org/W1782112231","https://openalex.org/W1791956237","https://openalex.org/W1830702501","https://openalex.org/W1915990350","https://openalex.org/W1946204087","https://openalex.org/W1970136394","https://openalex.org/W1976865215","https://openalex.org/W2031700647","https://openalex.org/W2055534149","https://openalex.org/W2061211961","https://openalex.org/W2094676669","https://openalex.org/W2095399029","https://openalex.org/W2096894382","https://openalex.org/W2100307927","https://openalex.org/W2102440906","https://openalex.org/W2117929388","https://openalex.org/W2121108749","https://openalex.org/W2141107613","https://openalex.org/W2150498905","https://openalex.org/W2154193570","https://openalex.org/W2164253138","https://openalex.org/W2167346196","https://openalex.org/W2172906094","https://openalex.org/W2405530305","https://openalex.org/W2607019059","https://openalex.org/W2950113883","https://openalex.org/W2964312190","https://openalex.org/W3098909135","https://openalex.org/W3099138652","https://openalex.org/W3099516920","https://openalex.org/W3100282202","https://openalex.org/W3101001683","https://openalex.org/W3102928882","https://openalex.org/W3105752546","https://openalex.org/W3105912905","https://openalex.org/W3106453919","https://openalex.org/W3124439737","https://openalex.org/W6675279579"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036"],"abstract_inverted_index":{"We":[0],"prove":[1],"polarization":[2,37],"theorems":[3],"for":[4,69,96],"arbitrary":[5,16,70,73],"classical-quantum":[6],"(cq)":[7],"channels.":[8,77],"The":[9,78],"input":[10,52,59],"alphabet":[11],"is":[12,24,30,63,100,103],"endowed":[13],"with":[14],"an":[15,21],"Abelian":[17],"group":[18,56],"operation,":[19],"and":[20,72],"Ar\u0131kan-style":[22],"transformation":[23],"applied":[25],"using":[26],"this":[27,111],"operation.":[28],"It":[29,102],"shown":[31,104],"that":[32,49,105],"as":[33],"the":[34,41,58,86,89,97,106],"number":[35],"of":[36,57,88,108,110],"steps":[38],"becomes":[39],"large,":[40],"synthetic":[42],"cq-channels":[43,71],"polarize":[44],"to":[45,53,65],"deterministic":[46],"homomorphism":[47],"channels":[48],"project":[50],"their":[51],"a":[54],"quotient":[55],"alphabet.":[60],"This":[61],"result":[62],"used":[64],"construct":[66],"polar":[67],"codes":[68,99],"cq":[74],"multiple":[75],"access":[76],"encoder":[79],"can":[80],"be":[81],"implemented":[82],"inO(NlogN)":[83],"operations,":[84],"whereNis":[85],"blocklength":[87],"code.":[90],"A":[91],"quantum":[92],"successive":[93],"cancellation":[94],"decoder":[95,112],"constructed":[98],"proposed.":[101],"probability":[107],"error":[109],"decays":[113],"faster":[114],"than":[115],"2(-N)\u03b2for":[116],"any":[117],"\u03b2":[118],"<;":[119],"(1/2).":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
