{"id":"https://openalex.org/W4406208452","doi":"https://doi.org/10.1109/tit.2025.3527859","title":"Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing","display_name":"Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing","publication_year":2025,"publication_date":"2025-01-09","ids":{"openalex":"https://openalex.org/W4406208452","doi":"https://doi.org/10.1109/tit.2025.3527859"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3527859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3527859","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","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/A5025647091","display_name":"Theshani Nuradha","orcid":"https://orcid.org/0000-0002-6932-2994"},"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":"Theshani Nuradha","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA","school of Electrical and Computer Engineering, Cornell University, Ithaca, New York, USA"],"raw_orcid":"https://orcid.org/0000-0002-6932-2994","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"school of Electrical and Computer Engineering, Cornell University, Ithaca, New York, 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, NY, USA","school of Electrical and Computer Engineering, Cornell University, Ithaca, New York, USA"],"raw_orcid":"https://orcid.org/0000-0002-3916-4462","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"school of Electrical and Computer Engineering, Cornell University, Ithaca, New York, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.0702,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98483825,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"71","issue":"3","first_page":"1851","last_page":"1873"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9939000010490417,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9939000010490417,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9894000291824341,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6488180160522461},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.6361743211746216},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6266241073608398},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5504699945449829},{"id":"https://openalex.org/keywords/statistical-distance","display_name":"Statistical distance","score":0.5104302763938904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5101140141487122},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4913751184940338},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.48933786153793335},{"id":"https://openalex.org/keywords/differential-privacy","display_name":"Differential privacy","score":0.48024705052375793},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4700072407722473},{"id":"https://openalex.org/keywords/trace-distance","display_name":"Trace distance","score":0.46982812881469727},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4651324152946472},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.4321565330028534},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.41138404607772827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3948538899421692},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36875593662261963},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.26615622639656067},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24426883459091187},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.1838875412940979},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18110233545303345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16003498435020447},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1573842167854309},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15064072608947754}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6488180160522461},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.6361743211746216},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6266241073608398},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5504699945449829},{"id":"https://openalex.org/C58948655","wikidata":"https://www.wikidata.org/wiki/Q7604392","display_name":"Statistical distance","level":3,"score":0.5104302763938904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5101140141487122},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4913751184940338},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.48933786153793335},{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.48024705052375793},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4700072407722473},{"id":"https://openalex.org/C105063144","wikidata":"https://www.wikidata.org/wiki/Q7831154","display_name":"Trace distance","level":4,"score":0.46982812881469727},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4651324152946472},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.4321565330028534},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.41138404607772827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3948538899421692},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36875593662261963},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.26615622639656067},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24426883459091187},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.1838875412940979},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18110233545303345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16003498435020447},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1573842167854309},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15064072608947754},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3527859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3527859","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G6806869838","display_name":null,"funder_award_id":"2329662, 2315398, 2304816","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1621050367","https://openalex.org/W1871021964","https://openalex.org/W1873763122","https://openalex.org/W1981029888","https://openalex.org/W1996053641","https://openalex.org/W2005097526","https://openalex.org/W2007737215","https://openalex.org/W2027595342","https://openalex.org/W2033092546","https://openalex.org/W2033879010","https://openalex.org/W2042587503","https://openalex.org/W2053801139","https://openalex.org/W2066072386","https://openalex.org/W2088855002","https://openalex.org/W2091310682","https://openalex.org/W2105918132","https://openalex.org/W2122166994","https://openalex.org/W2132840498","https://openalex.org/W2142505520","https://openalex.org/W2167346196","https://openalex.org/W2168792807","https://openalex.org/W2245160765","https://openalex.org/W2515654213","https://openalex.org/W2541283300","https://openalex.org/W2760053505","https://openalex.org/W2770184677","https://openalex.org/W2939719762","https://openalex.org/W2962878955","https://openalex.org/W2963881987","https://openalex.org/W3012697779","https://openalex.org/W3044342805","https://openalex.org/W3133688247","https://openalex.org/W3198855841","https://openalex.org/W4213004663","https://openalex.org/W4246098931","https://openalex.org/W4289874456","https://openalex.org/W4372055232","https://openalex.org/W4372259831","https://openalex.org/W4384519184","https://openalex.org/W4386066330","https://openalex.org/W4388585600","https://openalex.org/W4388726432","https://openalex.org/W4396782890","https://openalex.org/W4398775113","https://openalex.org/W4401693202","https://openalex.org/W4401765916","https://openalex.org/W4402816742","https://openalex.org/W6681909838","https://openalex.org/W6741415591","https://openalex.org/W6747390009","https://openalex.org/W6784576191","https://openalex.org/W6790588405","https://openalex.org/W6810166685","https://openalex.org/W6846816288","https://openalex.org/W6854267795","https://openalex.org/W6862362436","https://openalex.org/W6872027906","https://openalex.org/W6875401811","https://openalex.org/W6948027376","https://openalex.org/W7034108470"],"related_works":["https://openalex.org/W2033536570","https://openalex.org/W2101653615","https://openalex.org/W3149261477","https://openalex.org/W3104786485","https://openalex.org/W3103995399","https://openalex.org/W4295884275","https://openalex.org/W2526033863","https://openalex.org/W3118585974","https://openalex.org/W2604511775","https://openalex.org/W2189660299"],"abstract_inverted_index":{"A":[0],"quantum":[1,24,106,145,170,192,203,212],"generalized":[2],"divergence":[3,18,94],"by":[4],"definition":[5],"satisfies":[6],"the":[7,12,20,37,41,44,56,66,72,92,105,116,120,127,137,141,150,166,183],"data-processing":[8],"inequality;":[9],"as":[10,36],"such,":[11],"relative":[13,31,146,148],"decrease":[14,32],"in":[15,181,211],"such":[16],"a":[17,23],"under":[19,77,95,123,154,173],"action":[21],"of":[22,40,50,74,139,169],"channel":[25,42],"is":[26,33,59,69,100],"at":[27],"most":[28],"one.":[29,63],"This":[30],"formally":[34],"known":[35],"contraction":[38,57,67,89,117,138],"coefficient":[39,58,68,118],"and":[43,52,112,144,207],"divergence.":[45],"Interestingly,":[46],"there":[47],"exist":[48],"combinations":[49],"channels":[51,193,204],"divergences":[53],"for":[54,71,91,119],"which":[55,182],"strictly":[60],"less":[61],"than":[62],"Furthermore,":[64,176],"understanding":[65],"fundamental":[70],"study":[73,178],"statistical":[75],"tasks":[76],"privacy":[78,96,99,109,124,174],"constraints.":[79,125,156,175],"To":[80],"this":[81],"end,":[82],"here":[83],"we":[84,113,130,158,177,199],"establish":[85,163],"upper":[86,134],"bounds":[87,164,186],"on":[88,136,165],"coefficients":[90],"hockey-stick":[93],"constraints,":[97],"where":[98],"quantified":[101],"with":[102],"respect":[103],"to":[104,149,162],"local":[107],"differential":[108],"(QLDP)":[110],"framework,":[111],"fully":[114],"characterize":[115],"trace":[121,152],"distance":[122,143],"Using":[126],"machinery":[128],"developed,":[129],"also":[131],"determine":[132],"an":[133],"bound":[135],"both":[140],"Bures":[142],"entropy":[147],"normalized":[151],"distance,":[153],"QLDP":[155],"Next,":[157],"apply":[159],"our":[160],"findings":[161],"sample":[167,184],"complexity":[168,185],"hypothesis":[171],"testing":[172],"various":[179],"scenarios":[180],"are":[187],"tight":[188],"while":[189],"providing":[190],"order-optimal":[191],"that":[194],"achieve":[195],"those":[196],"bounds.":[197],"Lastly,":[198],"show":[200],"how":[201],"private":[202],"provide":[205],"fairness":[206],"Holevo":[208],"information":[209],"stability":[210],"learning":[213],"settings.":[214]},"counts_by_year":[{"year":2025,"cited_by_count":8}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}