{"id":"https://openalex.org/W7212087568","doi":"https://doi.org/10.48550/arxiv.2609.08998","title":"No information transmission through quantum channels above capacity","display_name":"No information transmission through quantum channels above capacity","publication_year":2026,"publication_date":"2026-09-08","ids":{"openalex":"https://openalex.org/W7212087568","doi":"https://doi.org/10.48550/arxiv.2609.08998"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.08998","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08998","pdf_url":"https://arxiv.org/pdf/2609.08998","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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.08998","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126456263","display_name":"Hao-Chung Cheng","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cheng, Hao-Chung","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040644995","display_name":"Marco Tomamichel","orcid":"https://orcid.org/0000-0001-5410-3329","observed_orcids":["https://orcid.org/0000-0001-5410-3329"]},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Tomamichel, Marco","raw_affiliation_strings":["Centre for Quantum Technologies , National University of Singapore , Singapore 117543 , Singapore","Department of Electrical and Computer Engineering , National University of Singapore , Singapore 117583 , Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Quantum Technologies , National University of Singapore , Singapore 117543 , Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , National University of Singapore , Singapore 117583 , Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":6,"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":0.9984999895095825,"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":0.9984999895095825,"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":0.0007999999797903001,"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":9.999999747378752e-05,"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/quantum-capacity","display_name":"quantum channel capacity","score":0.9200000166893005},{"id":"https://openalex.org/keywords/strong-converse-theorem","display_name":"strong converse theorem","score":0.8600000143051147},{"id":"https://openalex.org/keywords/entanglement-generation","display_name":"entanglement generation","score":0.656000018119812},{"id":"https://openalex.org/keywords/fidelity","display_name":"fidelity","score":0.3529999852180481},{"id":"https://openalex.org/keywords/phase-transitions","display_name":"phase transitions","score":0.5400000214576721}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7965999841690063},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.6744999885559082},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.6413999795913696},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.6259999871253967},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5709999799728394},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5698000192642212},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.5615000128746033},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5594000220298767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5372999906539917},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5077999830245972},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.451200008392334},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.44029998779296875},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4196000099182129},{"id":"https://openalex.org/C2983568541","wikidata":"https://www.wikidata.org/wiki/Q389772","display_name":"Information transmission","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4020000100135803},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39809998869895935},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.3693000078201294},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35199999809265137},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.3515999913215637},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3246000111103058},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.31859999895095825},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.31040000915527344},{"id":"https://openalex.org/C557945733","wikidata":"https://www.wikidata.org/wiki/Q389772","display_name":"Data transmission","level":2,"score":0.3000999987125397},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.2989000082015991},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.296999990940094},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C2983848023","wikidata":"https://www.wikidata.org/wiki/Q733553","display_name":"Transmission channel","level":3,"score":0.28610000014305115},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2854999899864197},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.2773999869823456},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2736000120639801},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.265500009059906},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2549999952316284}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.08998","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08998","pdf_url":"https://arxiv.org/pdf/2609.08998","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.08998","doi":"https://doi.org/10.48550/arxiv.2609.08998","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.08998","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.08998","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08998","pdf_url":"https://arxiv.org/pdf/2609.08998","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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3605009734","display_name":null,"funder_award_id":"NRF-NRFI10-2024-0006","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G6512472947","display_name":null,"funder_award_id":"S24Q2d0009","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G6906965799","display_name":null,"funder_award_id":"S24Q2d0009","funder_id":"https://openalex.org/F4320324089","funder_display_name":"Centre for Quantum Technologies"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320324089","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212087568.pdf","grobid_xml":"https://content.openalex.org/works/W7212087568.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W2067305690","https://openalex.org/W2935965436","https://openalex.org/W3098995074","https://openalex.org/W4393063673","https://openalex.org/W4416255926","https://openalex.org/W7130713812","https://openalex.org/W7171501897","https://openalex.org/W7171561057","https://openalex.org/W7172436913","https://openalex.org/W7197030414","https://openalex.org/W7204087035"],"related_works":["https://openalex.org/W6948027376","https://openalex.org/W1907064244","https://openalex.org/W1622848806","https://openalex.org/W2090644485","https://openalex.org/W1956461617","https://openalex.org/W1752861455","https://openalex.org/W7222110225","https://openalex.org/W7096369112","https://openalex.org/W7172436913","https://openalex.org/W141525484"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,105],"the":[3,52,55,59,68,89],"capacity":[4,17,78],"of":[5,70,101],"a":[6,10,95],"quantum":[7,39,47],"channel":[8,71],"demarcates":[9],"phase":[11],"transition:":[12],"while":[13],"reliable":[14],"transmission":[15,76],"below":[16],"is":[18],"always":[19],"possible,":[20],"any":[21],"attempt":[22],"to":[23,107],"transmit":[24],"information":[25,103],"above":[26,77],"it":[27],"fails":[28],"catastrophically.":[29],"Specifically,":[30],"we":[31],"prove":[32],"exponential":[33],"strong":[34],"converse":[35],"theorems":[36],"for":[37,62,111],"unassisted":[38],"and":[40,58],"classical":[41,63,90],"communication":[42,64],"over":[43],"arbitrary":[44],"finite-dimensional":[45],"memoryless":[46],"channels.":[48],"At":[49],"rates":[50],"beyond":[51],"respective":[53],"capacity,":[54],"entanglement-generation":[56],"fidelity":[57],"success":[60],"probability":[61],"decay":[65],"exponentially":[66],"with":[67],"number":[69],"uses.":[72],"This":[73],"rules":[74],"out":[75],"even":[79],"when":[80],"one":[81],"tolerates":[82],"arbitrarily":[83],"large":[84],"errors.":[85],"Our":[86],"proof":[87],"follows":[88],"Arimoto":[91],"strategy,":[92],"augmented":[93],"by":[94],"crucial":[96],"new":[97],"ingredient:":[98],"integral":[99],"representations":[100],"R\u00e9nyi":[102,112],"measures":[104],"lead":[106],"asymptotic":[108],"continuity":[109],"bounds":[110],"capacities.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":6}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-09-10T00:00:00"}
