{"id":"https://openalex.org/W7214354887","doi":"https://doi.org/10.48550/arxiv.2609.30268","title":"Quantum Channel Stein Theorem beyond Definite Causal Order","display_name":"Quantum Channel Stein Theorem beyond Definite Causal Order","publication_year":2026,"publication_date":"2026-09-24","ids":{"openalex":"https://openalex.org/W7214354887","doi":"https://doi.org/10.48550/arxiv.2609.30268"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.30268","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30268","pdf_url":"https://arxiv.org/pdf/2609.30268","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/2609.30268","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081020461","display_name":"Chengkai Zhu","orcid":"https://orcid.org/0000-0001-5250-5885","observed_orcids":["https://orcid.org/0000-0001-5250-5885"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Chengkai","raw_affiliation_strings":["QudeLeap Research , Shanghai 200030 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QudeLeap Research , Shanghai 200030 , China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100327887","display_name":"Xin Wang","orcid":"https://orcid.org/0000-0002-0641-3186","observed_orcids":["https://orcid.org/0000-0002-0641-3186"]},"institutions":[{"id":"https://openalex.org/I4405261251","display_name":"The Hong Kong University of Science and Technology (Guangzhou)","ror":"https://ror.org/050h0vm43","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405261251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Xin","raw_affiliation_strings":["Thrust of Artificial Intelligence , Information Hub , The Hong Kong University of Science and Technology (Guangzhou) , Guangzhou 511453 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thrust of Artificial Intelligence , Information Hub , The Hong Kong University of Science and Technology (Guangzhou) , Guangzhou 511453 , China","institution_ids":["https://openalex.org/I4405261251"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"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":0.98580002784729,"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":0.98580002784729,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.00430000014603138,"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":0.003700000001117587,"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/adaptive-testing","display_name":"adaptive testing","score":0.39899998903274536},{"id":"https://openalex.org/keywords/parallel-testing","display_name":"parallel testing","score":0.5429999828338623},{"id":"https://openalex.org/keywords/sandwiched-renyi-divergence","display_name":"sandwiched R\u00e9nyi divergence","score":0.8489999771118164},{"id":"https://openalex.org/keywords/causal-order","display_name":"causal order","score":0.4230000078678131}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7235999703407288},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6531999707221985},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5593000054359436},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.550000011920929},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5195000171661377},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5091000199317932},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4959999918937683},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.4542999863624573},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.40049999952316284},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.39500001072883606},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.3921000063419342},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.38830000162124634},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3790000081062317},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3393999934196472},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.33649998903274536},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3337000012397766},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.3248000144958496},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3095000088214874},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3068000078201294},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.30230000615119934},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.29319998621940613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27869999408721924},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2623000144958496}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.30268","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30268","pdf_url":"https://arxiv.org/pdf/2609.30268","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.2609.30268","doi":"https://doi.org/10.48550/arxiv.2609.30268","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.30268","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.30268","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30268","pdf_url":"https://arxiv.org/pdf/2609.30268","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/G2052179644","display_name":null,"funder_award_id":"92576114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8274973648","display_name":null,"funder_award_id":"12447107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323537","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214354887.pdf","grobid_xml":"https://content.openalex.org/works/W7214354887.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7214173269"],"related_works":["https://openalex.org/W7214173269","https://openalex.org/W3209765631","https://openalex.org/W3100230369","https://openalex.org/W4417223359","https://openalex.org/W2885196519","https://openalex.org/W3198486911","https://openalex.org/W7214314909","https://openalex.org/W4415317885","https://openalex.org/W4289655345","https://openalex.org/W4212839120"],"abstract_inverted_index":{"Distinguishability":[0],"is":[1,52,79],"a":[2],"central":[3],"concept":[4],"in":[5],"information":[6],"theory":[7],"and":[8,27],"extends":[9],"naturally":[10],"to":[11,67],"quantum":[12,23],"systems.":[13],"This":[14],"work":[15],"shows":[16],"that,":[17],"for":[18,100],"any":[19,54],"two":[20],"finite-dimensional":[21],"memoryless":[22],"channels,":[24],"parallel,":[25],"adaptive":[26],"general":[28,101],"testing":[29],"strategies":[30],"achieve":[31],"the":[32,44,59,64,81,84,96],"same":[33],"Stein":[34],"exponent":[35,57,99],"at":[36,90],"every":[37],"fixed":[38],"type-I":[39],"error":[40],"tolerance":[41],"$\u03b5\\in(0,1)$,":[42],"namely":[43],"regularized":[45,85],"channel":[46,88],"relative":[47],"entropy.":[48],"When":[49],"this":[50],"rate":[51],"finite,":[53],"larger":[55],"type-II":[56],"forces":[58],"probability":[60],"of":[61,83],"correctly":[62],"accepting":[63],"null":[65],"hypothesis":[66],"decay":[68],"exponentially.":[69],"Thus,":[70],"adaptivity":[71],"provides":[72],"no":[73],"asymptotic":[74],"advantage.":[75],"The":[76],"key":[77],"step":[78],"proving":[80],"continuity":[82],"sandwiched":[86],"R\u00e9nyi":[87],"divergence":[89],"order":[91],"one.":[92],"We":[93],"also":[94],"derive":[95],"exact":[97],"strong-converse":[98],"testers.":[102]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}
