{"id":"https://openalex.org/W4417068473","doi":"https://doi.org/10.22331/q-2026-05-22-2115","title":"Quantum Doeblin Coefficients: Interpretations and Applications","display_name":"Quantum Doeblin Coefficients: Interpretations and Applications","publication_year":2026,"publication_date":"2026-05-22","ids":{"openalex":"https://openalex.org/W4417068473","doi":"https://doi.org/10.22331/q-2026-05-22-2115"},"language":"en","primary_location":{"id":"doi:10.22331/q-2026-05-22-2115","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2026-05-22-2115","pdf_url":"https://quantum-journal.org/papers/q-2026-05-22-2115/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2026-05-22-2115/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037081112","display_name":"I. M. George","orcid":"https://orcid.org/0000-0002-2803-2421"},"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":"Ian George","raw_affiliation_strings":["Centre for Quantum Technologies, National University of Singapore, Singapore 117543, 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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051822476","display_name":"Christoph Hirche","orcid":"https://orcid.org/0000-0001-9265-827X"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]},{"id":"https://openalex.org/I4210136150","display_name":"L3S Research Center","ror":"https://ror.org/039t4wk02","country_code":"DE","type":"facility","lineage":["https://openalex.org/I114112103","https://openalex.org/I4210136150","https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Hirche","raw_affiliation_strings":["Institute for Information Processing (tnt/L3S), Leibniz Universit\u00e4t Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Information Processing (tnt/L3S), Leibniz Universit\u00e4t Hannover, Germany","institution_ids":["https://openalex.org/I114112103","https://openalex.org/I4210136150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025647091","display_name":"Theshani Nuradha","orcid":"https://orcid.org/0000-0002-6932-2994"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Theshani Nuradha","raw_affiliation_strings":["Department of Mathematics and Illinois Quantum Information Science and Technology (IQUIST) Center,\\ University of Illinois Urbana-Champaign, Urbana, IL 61801, USA","School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Illinois Quantum Information Science and Technology (IQUIST) Center,\\ University of Illinois Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"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/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark M. Wilde","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01338442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"2115","last_page":"2115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.7950000166893005,"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":0.7950000166893005,"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":0.05700000002980232,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.020600000396370888,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6398000121116638},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5325999855995178},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.46369999647140503},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.439300000667572},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.428600013256073},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.4207000136375427},{"id":"https://openalex.org/keywords/quantum-capacity","display_name":"Quantum capacity","score":0.4138000011444092},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4088999927043915},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.40610000491142273}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6398000121116638},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5325999855995178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4821999967098236},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.46369999647140503},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.439300000667572},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.428600013256073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42309999465942383},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.421999990940094},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4207000136375427},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.4138000011444092},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4088999927043915},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.40610000491142273},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.4034999907016754},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.36880001425743103},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.3630000054836273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35670000314712524},{"id":"https://openalex.org/C92043244","wikidata":"https://www.wikidata.org/wiki/Q7269023","display_name":"Quantum complexity theory","level":4,"score":0.3564999997615814},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3407999873161316},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.33250001072883606},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3264000117778778},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.2971000075340271},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.29600000381469727},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2924000024795532},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.2777000069618225},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.26579999923706055},{"id":"https://openalex.org/C165973109","wikidata":"https://www.wikidata.org/wiki/Q894014","display_name":"Quantum probability","level":5,"score":0.2529999911785126}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2026-05-22-2115","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2026-05-22-2115","pdf_url":"https://quantum-journal.org/papers/q-2026-05-22-2115/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2503.22823","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2503.22823","pdf_url":"https://arxiv.org/pdf/2503.22823","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:0b0785f79866492da2c6d5dc13c3b9b4","is_oa":true,"landing_page_url":"https://doaj.org/article/0b0785f79866492da2c6d5dc13c3b9b4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 10, p 2115 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2503.22823","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.22823","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2026-05-22-2115","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2026-05-22-2115","pdf_url":"https://quantum-journal.org/papers/q-2026-05-22-2115/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1477371604","display_name":null,"funder_award_id":"2329662","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G341504276","display_name":null,"funder_award_id":"50206990","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4399171129","display_name":null,"funder_award_id":"232966","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7422008479","display_name":null,"funder_award_id":"T2EP20124-0005","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G8624586495","display_name":null,"funder_award_id":"2409823","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"},{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324089","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49"},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4417068473.pdf","grobid_xml":"https://content.openalex.org/works/W4417068473.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,48],"classical":[1,9,46],"information":[2],"theory,":[3],"the":[4,18,23,45,82,131,146,178,187,210],"Doeblin":[5,39,55,84,113,155,214,239],"coefficient":[6,21],"of":[7,22,44,58,79,81,111,145,153,181,189,200,204,209,225,232,243,254],"a":[8,31,42,226],"channel":[10],"provides":[11,241],"an":[12],"efficiently":[13,72,258],"computable":[14],"upper":[15,218],"bound":[16],"on":[17,160,173,177,186,194,220],"total-variation":[19],"contraction":[20,223],"channel,":[24],"leading":[25],"to":[26,70,130],"what":[27],"is":[28],"known":[29],"as":[30,41,88,115],"strong":[32],"data-processing":[33],"inequality.":[34],"Here,":[35],"we":[36,50],"investigate":[37],"quantum":[38,54,83,112,154,161,168,183,191,213,227,238],"coefficients":[40,114,215,224,240],"generalization":[43],"concept.":[47],"particular,":[49],"define":[51],"various":[52,77,151,221,244],"new":[53],"coefficients,":[56,85,156],"one":[57,136],"which":[59],"has":[60],"several":[61],"desirable":[62],"properties,":[63],"including":[64,86],"concatenation":[65],"and":[66,96,101,106,193,197,256],"multiplicativity,":[67],"in":[68,139,217,230,252],"addition":[69],"being":[71,257],"computable.":[73,259],"We":[74,148],"also":[75,149],"develop":[76],"interpretations":[78,110],"two":[80],"representations":[87],"minimal":[89],"singlet":[90],"fractions,":[91],"exclusion":[92,120],"values,":[93],"reverse":[94,99,104],"max-mutual":[95],"oveloH":[97,107],"informations,":[98],"robustnesses,":[100],"hypothesis":[102,184],"testing":[103],"mutual":[105],"informations.":[108],"Our":[109],"either":[116],"entanglement-assisted":[117],"or":[118],"unassisted":[119],"values":[121],"are":[122,128],"particularly":[123],"appealing,":[124],"indicating":[125],"that":[126,165,212],"they":[127],"proportional":[129],"best":[132],"possible":[133],"error":[134,174],"probabilities":[135],"could":[137],"achieve":[138],"state-exclusion":[140],"tasks":[141],"by":[142],"making":[143],"use":[144,166,208],"channel.":[147,228],"outline":[150],"applications":[152,206],"ranging":[157],"from":[158,248],"limitations":[159],"machine":[162],"learning":[163],"algorithms":[164],"parameterized":[167],"circuits":[169],"(noise-induced":[170],"barren":[171],"plateaus),":[172],"mitigation":[175],"protocols,":[176],"sample":[179],"complexity":[180],"noisy":[182,190],"testing,":[185],"fairness":[188],"models,":[192],"mixing,":[195],"indistinguishability,":[196],"decoupling":[198],"times":[199],"time-varying":[201],"channels.":[202],"All":[203],"these":[205,233],"make":[207],"fact":[211],"appear":[216],"bounds":[219],"trace-distance":[222],"Furthermore,":[229],"all":[231],"applications,":[234],"our":[235],"analysis":[236],"using":[237],"improvements":[242],"kinds":[245],"over":[246],"contributions":[247],"prior":[249],"literature,":[250],"both":[251],"terms":[253],"generality":[255]},"counts_by_year":[],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}