{"id":"https://openalex.org/W2055371796","doi":"https://doi.org/10.1109/tit.2014.2314463","title":"Polar Codes for Private and Quantum Communication Over Arbitrary Channels","display_name":"Polar Codes for Private and Quantum Communication Over Arbitrary Channels","publication_year":2014,"publication_date":"2014-03-31","ids":{"openalex":"https://openalex.org/W2055371796","doi":"https://doi.org/10.1109/tit.2014.2314463","mag":"2055371796"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2314463","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2314463","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/1212.2537","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067801862","display_name":"Joseph M. Renes","orcid":"https://orcid.org/0000-0003-2302-8025"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Joseph M. Renes","raw_affiliation_strings":["Institute for Theoretical Physics, ETH Z\u00efrich, Z\u00efrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Z\u00efrich, Z\u00efrich, Switzerland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037632925","display_name":"Mark M. Wilde","orcid":"https://orcid.org/0000-0002-3916-4462"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark M. Wilde","raw_affiliation_strings":["Center for Computation and Technology, Department of Physics and Astronomy, Hearne Institute for Theoretical Physics, Louisiana State University, Baton Rouge, LA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Computation and Technology, Department of Physics and Astronomy, Hearne Institute for Theoretical Physics, Louisiana State University, Baton Rouge, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067801862"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.1284,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.98185342,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"6","first_page":"3090","last_page":"3103"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10020","display_name":"Quantum Information and Cryptography","score":0.9991999864578247,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-capacity","display_name":"Quantum capacity","score":0.6684136986732483},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.6080203056335449},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.580337643623352},{"id":"https://openalex.org/keywords/amplitude-damping-channel","display_name":"Amplitude damping channel","score":0.5136113166809082},{"id":"https://openalex.org/keywords/quantum-convolutional-code","display_name":"Quantum convolutional code","score":0.5095313191413879},{"id":"https://openalex.org/keywords/classical-capacity","display_name":"Classical capacity","score":0.4832521080970764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4749450981616974},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.4391668736934662},{"id":"https://openalex.org/keywords/quantum-network","display_name":"Quantum network","score":0.4375622570514679},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43197470903396606},{"id":"https://openalex.org/keywords/quantum-information-science","display_name":"Quantum information science","score":0.4310110807418823},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.42113423347473145},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41343483328819275},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.3981207609176636},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3895048201084137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34318652749061584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3119690716266632},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.28100311756134033},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06516098976135254}],"concepts":[{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.6684136986732483},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.6080203056335449},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.580337643623352},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.5136113166809082},{"id":"https://openalex.org/C69497775","wikidata":"https://www.wikidata.org/wiki/Q7269025","display_name":"Quantum convolutional code","level":5,"score":0.5095313191413879},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.4832521080970764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4749450981616974},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4391668736934662},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.4375622570514679},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43197470903396606},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.4310110807418823},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.42113423347473145},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41343483328819275},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3981207609176636},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3895048201084137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34318652749061584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3119690716266632},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28100311756134033},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06516098976135254}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2014.2314463","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2314463","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:1212.2537","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.2537","pdf_url":"https://arxiv.org/pdf/1212.2537","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:digitalcommons.lsu.edu:physics_astronomy_pubs-6787","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/physics_astronomy_pubs/5707","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:physics_astronomy_pubs-6787","is_oa":false,"landing_page_url":"https://repository.lsu.edu/physics_astronomy_pubs/5707","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.2537","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.2537","pdf_url":"https://arxiv.org/pdf/1212.2537","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":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G8828173992","display_name":null,"funder_award_id":"258932","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1409569118","https://openalex.org/W1499853399","https://openalex.org/W1642532315","https://openalex.org/W1785526227","https://openalex.org/W1793914521","https://openalex.org/W1882122127","https://openalex.org/W1967948418","https://openalex.org/W1982432882","https://openalex.org/W2004820318","https://openalex.org/W2014135610","https://openalex.org/W2014728814","https://openalex.org/W2015132296","https://openalex.org/W2040211109","https://openalex.org/W2055534149","https://openalex.org/W2071764857","https://openalex.org/W2094676669","https://openalex.org/W2096894382","https://openalex.org/W2141412822","https://openalex.org/W2150498905","https://openalex.org/W2164368671","https://openalex.org/W2211831180","https://openalex.org/W2593217158","https://openalex.org/W2594901681","https://openalex.org/W2952479876","https://openalex.org/W3105912905","https://openalex.org/W3106210707","https://openalex.org/W3123299285","https://openalex.org/W4229909698","https://openalex.org/W4297810922","https://openalex.org/W6636666128"],"related_works":["https://openalex.org/W2030160643","https://openalex.org/W3024516071","https://openalex.org/W3021095361","https://openalex.org/W2014135610","https://openalex.org/W4301756361","https://openalex.org/W3099164702","https://openalex.org/W3128188814","https://openalex.org/W2113649638","https://openalex.org/W2127688694","https://openalex.org/W2051359182"],"abstract_inverted_index":{"We":[0],"construct":[1],"new":[2,77],"polar":[3,45],"coding":[4,24,46,81,146,192],"schemes":[5,40,147],"for":[6,64,71,87,131,173,194],"the":[7,20,27,33,35,69,76,85,102,119,162,179,198,206],"transmission":[8],"of":[9,49,92,197],"quantum":[10,17,55,80,133,203,211,217,223],"or":[11,150],"private":[12,37,78],"classical":[13,51,103,120],"information":[14,52,67,204],"over":[15,53],"arbitrary":[16,132],"channels.":[18,134],"In":[19],"former":[21],"case,":[22,104,121],"our":[23,144,169],"scheme":[25,127,180],"achieves":[26],"symmetric":[28,36],"coherent":[29],"information,":[30],"and":[31,68,79,89,105],"in":[32,118,202],"latter,":[34],"information.":[38],"Both":[39],"are":[41,171],"built":[42],"from":[43],"a":[44,54,190,221],"construction":[47,86,138],"capable":[48],"transmitting":[50,65,72],"channel.":[56],"Appropriately":[57],"merging":[58],"two":[59,145,157,210],"such":[60],"classical-quantum":[61],"schemes,":[62,82],"one":[63,196],"amplitude":[66],"other":[70],"phase,":[73],"leads":[74],"to":[75,84,101,184],"similar":[83,100],"Pauli":[88],"erasure":[90],"channels":[91],"Renes":[93],"et":[94],"al.":[95],"The":[96,108],"encoding":[97],"is":[98,128,139],"entirely":[99],"thus":[106],"efficient.":[107],"decoding":[109],"can":[110,181,219],"also":[111],"be":[112,182],"performed":[113],"by":[114],"successive":[115,125],"cancellation,":[116],"as":[117],"but":[122,154],"no":[123],"efficient":[124,136],"cancellation":[126],"yet":[129],"known":[130,158],"An":[135],"code":[137],"unfortunately":[140],"still":[141],"unknown.":[142],"Generally,":[143],"require":[148],"entanglement":[149],"secret-key":[151],"assistance,":[152],"respectively,":[153],"we":[155,176],"extend":[156],"conditions":[159],"under":[160],"which":[161,213],"needed":[163],"assistance":[164],"rate":[165],"vanishes.":[166],"Finally,":[167],"although":[168],"results":[170],"formulated":[172],"qubit":[174],"channels,":[175,212],"show":[177],"how":[178],"extended":[183],"multiple":[185],"qubits.":[186],"This":[187],"then":[188],"demonstrates":[189],"near-explicit":[191],"method":[193],"realizing":[195],"most":[199],"striking":[200],"phenomena":[201],"theory:":[205],"superactivation":[207],"effect,":[208],"whereby":[209],"individually":[214],"have":[215,220],"zero":[216],"capacity":[218,224],"nonzero":[222],"when":[225],"used":[226],"together.":[227]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2020-11-23T00:00:00"}
