{"id":"https://openalex.org/W4415368884","doi":"https://doi.org/10.1109/isit63088.2025.11195243","title":"A Solution of the Generalised Quantum Stein's Lemma","display_name":"A Solution of the Generalised Quantum Stein's Lemma","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415368884","doi":"https://doi.org/10.1109/isit63088.2025.11195243"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195243","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195243","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041655532","display_name":"Ludovico Lami","orcid":"https://orcid.org/0000-0003-3290-3557"},"institutions":[{"id":"https://openalex.org/I157210198","display_name":"Scuola Normale Superiore","ror":"https://ror.org/03aydme10","country_code":"IT","type":"education","lineage":["https://openalex.org/I157210198"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ludovico Lami","raw_affiliation_strings":["Scuola Normale Superiore,Pisa,Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scuola Normale Superiore,Pisa,Italy","institution_ids":["https://openalex.org/I157210198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041655532"],"corresponding_institution_ids":["https://openalex.org/I157210198"],"apc_list":null,"apc_paid":null,"fwci":24.7534,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.9953168,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.7878999710083008,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.7878999710083008,"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/T11716","display_name":"Random Matrices and Applications","score":0.7628999948501587,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.7560999989509583,"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/quantum-entanglement","display_name":"Quantum entanglement","score":0.7013000249862671},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5882999897003174},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.5066999793052673},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4810999929904938},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.46299999952316284},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.43050000071525574},{"id":"https://openalex.org/keywords/quantum-capacity","display_name":"Quantum capacity","score":0.42570000886917114},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.41600000858306885},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.415800005197525}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7013000249862671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6225000023841858},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5882999897003174},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.5066999793052673},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4810999929904938},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.46299999952316284},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.43050000071525574},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.42570000886917114},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.41600000858306885},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.415800005197525},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.3937000036239624},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3855000138282776},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.3824000060558319},{"id":"https://openalex.org/C55795843","wikidata":"https://www.wikidata.org/wiki/Q614178","display_name":"Separable state","level":5,"score":0.36800000071525574},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.364300012588501},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.3625999987125397},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.35690000653266907},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.35499998927116394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3537999987602234},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3447999954223633},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33309999108314514},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.33000001311302185},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2784999907016754},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.27720001339912415},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.2718999981880188},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.26829999685287476},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26420000195503235},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2603999972343445},{"id":"https://openalex.org/C198377831","wikidata":"https://www.wikidata.org/wiki/Q7269027","display_name":"Quantum correlation","level":5,"score":0.2533999979496002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195243","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195243","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W189715775","https://openalex.org/W1965555277","https://openalex.org/W1966619759","https://openalex.org/W1968087916","https://openalex.org/W1973429478","https://openalex.org/W1988340599","https://openalex.org/W1992074575","https://openalex.org/W1995439665","https://openalex.org/W2007422996","https://openalex.org/W2007737215","https://openalex.org/W2013695092","https://openalex.org/W2033909248","https://openalex.org/W2034249719","https://openalex.org/W2060887031","https://openalex.org/W2062258079","https://openalex.org/W2088855002","https://openalex.org/W2120279831","https://openalex.org/W2132840498","https://openalex.org/W2148725952","https://openalex.org/W2519383683","https://openalex.org/W2757532613","https://openalex.org/W2808319042","https://openalex.org/W2992225407","https://openalex.org/W3012191630","https://openalex.org/W3037256833","https://openalex.org/W3037737784","https://openalex.org/W3098165131","https://openalex.org/W4386525688","https://openalex.org/W4415368884"],"related_works":[],"abstract_inverted_index":{"We":[0],"solve":[1,87,164],"the":[2,9,17,36,47,57,70,77,88,125,130,137,154,176,180,198],"generalised":[3,126],"quantum":[4,18,61,84,138,160,172,202],"Stein's":[5,127],"lemma,":[6],"proving":[7],"that":[8,99],"Stein":[10],"exponent":[11],"associated":[12],"with":[13,69],"entanglement":[14,51],"testing,":[15,52],"namely,":[16],"hypothesis":[19],"testing":[20],"task":[21],"of":[22,25,40,50,59,74,179,192,200],"distinguishing":[23],"between$n$copies":[24],"an":[26,157],"entangled":[27],"state$\\rho_{A":[28],"B}$and":[29],"a":[30,97,106,148,185],"generic":[31],"separable":[32],"state$\\sigma_{A^{n}:":[33],"B^{n}}$,":[34],"equals":[35],"regularised":[37,71],"relative":[38,72],"entropy":[39,73],"entanglement.":[41],"Not":[42],"only":[43],"does":[44],"this":[45,193],"determine":[46],"ultimate":[48],"performance":[49],"but":[53,134],"it":[54,112,165],"also":[55],"establishes":[56],"reversibility":[58],"all":[60],"resource":[62,66,75],"theories":[63],"under":[64],"asymptotically":[65],"non-generating":[67],"operations,":[68],"governing":[76],"asymptotic":[78],"transformation":[79],"rate":[80],"between":[81],"any":[82],"two":[83,92],"states.":[85],"To":[86],"problem":[89,155],"we":[90,100,162],"introduce":[91],"techniques.":[93],"The":[94],"first":[95],"is":[96,145,197],"procedure":[98],"call":[101],"\u2018blurring\u2019,":[102],"which,":[103],"informally,":[104],"transforms":[105],"permutationally":[107],"symmetric":[108],"state":[109],"by":[110,167],"making":[111],"more":[113],"evenly":[114],"spread":[115],"across":[116],"nearby":[117],"type":[118],"classes.":[119],"Blurring":[120],"alone":[121],"suffices":[122],"to":[123,146,152,156,184],"prove":[124],"lemma":[128],"in":[129,136],"fully":[131],"classical":[132],"case,":[133],"not":[135],"case.":[139],"Our":[140],"second":[141,149,194],"technical":[142],"innovation,":[143],"therefore,":[144],"perform":[147],"quantisation":[150,195],"step":[151,196],"lift":[153],"infinite-dimensional":[158],"bosonic":[159],"system;":[161],"then":[163],"there":[166],"using":[168],"techniques":[169],"from":[170],"continuous-variable":[171],"information.":[173],"Rather":[174],"remarkably,":[175],"second-quantised":[177],"action":[178],"blurring":[181],"map":[182],"corresponds":[183],"pure":[186],"loss":[187],"channel.":[188],"A":[189],"careful":[190],"examination":[191],"core":[199],"our":[201],"solution.":[203],"Longer":[204],"version":[205],"[1]":[206],"at":[207],"[arXiv:2408.06410].":[208]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-21T00:00:00"}