{"id":"https://openalex.org/W2214828908","doi":null,"title":"Inequalities for the quantum Renyi divergences with applications to compound coding problems","display_name":"Inequalities for the quantum Renyi divergences with applications to compound coding problems","publication_year":2013,"publication_date":"2013-10-28","ids":{"openalex":"https://openalex.org/W2214828908","mag":"2214828908"},"language":"en","primary_location":{"id":"mag:2214828908","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1310.7525v3","pdf_url":null,"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,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/1310.7525v3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050426984","display_name":"Mil\u00e1n Mosonyi","orcid":"https://orcid.org/0000-0002-5973-5533","observed_orcids":["https://orcid.org/0000-0002-5973-5533"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mil\u00e1n Mosonyi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5973-5533","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5050426984"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.986299991607666,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.986299991607666,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.005799999926239252,"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":0.00139999995008111,"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/two-sided-bounds","display_name":"two-sided bounds","score":0.6830000281333923},{"id":"https://openalex.org/keywords/composite-null-hypothesis","display_name":"composite null hypothesis","score":0.9290000200271606},{"id":"https://openalex.org/keywords/quasi-concavity","display_name":"quasi-concavity","score":0.8970000147819519},{"id":"https://openalex.org/keywords/quantum-channel-coding","display_name":"quantum channel coding","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6485615968704224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6434745788574219},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6421611905097961},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5666916966438293},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.45829591155052185},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4501795172691345},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42413803935050964},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4240492880344391},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32697999477386475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15231338143348694},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14580503106117249},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2214828908","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1310.7525v3","pdf_url":null,"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,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2214828908","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1310.7525v3","pdf_url":null,"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,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1604318691","https://openalex.org/W1640062563","https://openalex.org/W1968087916","https://openalex.org/W1970006170","https://openalex.org/W1983051686","https://openalex.org/W1984698607","https://openalex.org/W1987566780","https://openalex.org/W1996053641","https://openalex.org/W2001619599","https://openalex.org/W2015353549","https://openalex.org/W2025187617","https://openalex.org/W2035972614","https://openalex.org/W2037691141","https://openalex.org/W2058475655","https://openalex.org/W2059260860","https://openalex.org/W2076476756","https://openalex.org/W2077741783","https://openalex.org/W2090644485","https://openalex.org/W2094966623","https://openalex.org/W2102440906","https://openalex.org/W2114473497","https://openalex.org/W2115328106","https://openalex.org/W2118340588","https://openalex.org/W2120279831","https://openalex.org/W2128961150","https://openalex.org/W2132840498","https://openalex.org/W2144277460","https://openalex.org/W2144858833","https://openalex.org/W2154564336","https://openalex.org/W2160706065","https://openalex.org/W2167830490","https://openalex.org/W3164283929"],"related_works":["https://openalex.org/W1836320178","https://openalex.org/W1596422996","https://openalex.org/W3107956026","https://openalex.org/W2407009171","https://openalex.org/W7098589948","https://openalex.org/W2734774129","https://openalex.org/W3045172124","https://openalex.org/W2900230570","https://openalex.org/W2975183410","https://openalex.org/W2031351379"],"abstract_inverted_index":{"We":[0,72],"show":[1],"two-sided":[2],"bounds":[3,38],"between":[4],"the":[5,11,41,56,66,82,93,97,106,117],"conventional":[6],"quantum":[7,83,102],"R\\'enyi":[8,15],"divergences":[9,16,120],"and":[10,24,32,50,78,92],"new":[12,118],"notion":[13],"of":[14,59,68,81,96,100,116],"introduced":[17],"recently":[18],"in":[19,65],"M\\uller-Lennert,":[20],"Dupuis,":[21],"Szehr,":[22],"Fehr":[23],"Tomamichel,":[25],"J.":[26],"Math.":[27],"Phys.":[28],"54,":[29],"122203,":[30],"(2013),":[31],"Wilde,":[33],"Winter,":[34],"Yang,":[35],"arXiv:1306.1586.":[36],"The":[37],"imply":[39],"that":[40,121],"two":[42],"versions":[43],"can":[44,53],"be":[45],"used":[46],"interchangeably":[47],"near":[48],"alpha=1,":[49],"hence":[51],"one":[52],"benefit":[54,110],"from":[55,105,111],"best":[57],"properties":[58],"both":[60],"when":[61],"proving":[62],"coding":[63],"theorems":[64],"case":[67],"asymptotically":[69],"vanishing":[70],"error.":[71],"illustrate":[73],"this":[74],"by":[75],"giving":[76],"short":[77],"simple":[79],"proofs":[80],"Stein's":[84],"lemma":[85],"with":[86],"composite":[87],"null-hypothesis,":[88],"universal":[89],"source":[90],"compression,":[91],"achievability":[94],"part":[95],"classical":[98],"capacity":[99],"compound":[101],"channels.":[103],"Apart":[104],"above":[107],"interchangeability,":[108],"we":[109,122],"a":[112],"weak":[113],"quasi-concavity":[114],"property":[115],"Renyi":[119],"also":[123],"establish":[124],"here.":[125]},"counts_by_year":[{"year":2014,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}