{"id":"https://openalex.org/W7214369237","doi":"https://doi.org/10.48550/arxiv.2609.29348","title":"Classical Sufficiency in Quantum Statistical Experiments","display_name":"Classical Sufficiency in Quantum Statistical Experiments","publication_year":2026,"publication_date":"2026-09-24","ids":{"openalex":"https://openalex.org/W7214369237","doi":"https://doi.org/10.48550/arxiv.2609.29348"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.29348","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29348","pdf_url":"https://arxiv.org/pdf/2609.29348","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/2609.29348","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036284788","display_name":"Samriddha Lahiry","orcid":"https://orcid.org/0000-0002-6778-6947","observed_orcids":["https://orcid.org/0000-0002-6778-6947"]},"institutions":[{"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":true,"raw_author_name":"Lahiry, Samriddha","raw_affiliation_strings":["Department of Statistics and Data Science National University of Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Data Science National University of Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036284788"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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":0.9038000106811523,"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":0.9038000106811523,"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":0.0731000006198883,"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":0.011599999852478504,"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-measurement","display_name":"quantum measurement","score":0.5649999976158142},{"id":"https://openalex.org/keywords/young-diagrams","display_name":"Young diagrams","score":0.9259999990463257},{"id":"https://openalex.org/keywords/bayes-risk","display_name":"Bayes risk","score":0.781000018119812},{"id":"https://openalex.org/keywords/minimax-risk","display_name":"minimax risk","score":0.9990000128746033},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"negative binomial distribution","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8008999824523926},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6421999931335449},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5310999751091003},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.47049999237060547},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.45899999141693115},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.420199990272522},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.36730000376701355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3671000003814697},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3644999861717224},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3497999906539917},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3425000011920929},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3034999966621399},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2881999909877777},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.2612999975681305}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.29348","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29348","pdf_url":"https://arxiv.org/pdf/2609.29348","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.2609.29348","doi":"https://doi.org/10.48550/arxiv.2609.29348","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.29348","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:2609.29348","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29348","pdf_url":"https://arxiv.org/pdf/2609.29348","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214369237.pdf","grobid_xml":"https://content.openalex.org/works/W7214369237.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1504557780","https://openalex.org/W2267742280","https://openalex.org/W4416958105"],"related_works":["https://openalex.org/W2964172488","https://openalex.org/W7096991094","https://openalex.org/W1987319859","https://openalex.org/W7095101676","https://openalex.org/W2038672677","https://openalex.org/W7095788202","https://openalex.org/W3103788441","https://openalex.org/W2032141645","https://openalex.org/W3035999976","https://openalex.org/W2113739411"],"abstract_inverted_index":{"A":[0],"quantum":[1,5,55],"measurement":[2,30,33,46,59,70,102,125,201],"transforms":[3],"a":[4,9,28,32,68,82,171,176,237],"statistical":[6,20],"experiment":[7,40,91],"into":[8],"classical":[10,39,145,225],"one,":[11],"but":[12],"different":[13,19],"measurements":[14,142,223],"generally":[15],"yield":[16],"experiments":[17],"with":[18,130,190,208],"information.":[21],"We":[22,80,152,165,179],"introduce":[23],"quantum-to-classical":[24],"sufficiency:":[25],"relative":[26,106],"to":[27,107,144,224],"prescribed":[29],"class,":[31],"is":[34,103],"sufficient":[35,105,124,205],"if":[36],"its":[37],"induced":[38],"Blackwell-dominates":[41],"those":[42],"from":[43],"every":[44],"other":[45],"in":[47,71,175],"the":[48,58,72,86,89,123,187,204,230],"class.":[49],"This":[50],"separates":[51],"two":[52],"components":[53],"of":[54,95,186,216],"inference:":[56],"reducing":[57],"class":[60,74],"through":[61,93],"symmetry":[62],"or":[63],"decision-theoretic":[64],"arguments,":[65],"and":[66,137,158,184,218],"identifying":[67],"canonical":[69],"reduced":[73],"by":[75],"an":[76,96,167,191],"experiment-level":[77],"sufficiency":[78],"condition.":[79],"establish":[81,166],"factorization":[83],"criterion":[84],"where":[85],"parameter":[87,189],"enters":[88],"group-averaged":[90],"only":[92],"weights":[94],"orthogonal":[97],"block":[98],"decomposition.":[99],"The":[100],"block-label":[101],"then":[104],"all":[108,141,222],"invariant":[109,135],"measurements.":[110],"For":[111],"tensor-product":[112],"models":[113],"under":[114],"unitary":[115],"conjugation,":[116],"this":[117,211],"identifies":[118],"weak":[119],"Schur":[120],"sampling":[121],"as":[122,203],"for":[126,161,170],"spectral":[127,163],"inference.":[128],"Combined":[129,207],"risk-preserving":[131],"symmetrization,":[132],"it":[133],"reduces":[134],"Bayes":[136,157],"minimax":[138,159,219],"problems":[139,147,220,227],"over":[140,221],"exactly":[143],"decision":[146,226],"based":[148,228],"on":[149,229],"Young":[150],"diagrams.":[151],"derive":[153],"sharp":[154],"first-order":[155],"asymptotic":[156],"risks":[160],"smooth":[162],"functionals.":[164],"analogous":[168],"reduction":[169],"noncompact":[172],"group":[173],"action":[174],"continuous-variable":[177],"setting.":[178],"consider":[180],"displaced":[181],"thermal":[182,188],"states":[183],"functionals":[185],"unknown":[192],"displacement.":[193],"Within":[194],"displacement-invariant":[195],"measurements,":[196],"total":[197,231],"residual":[198,232],"photon":[199,233],"number":[200],"emerges":[202],"measurement.":[206],"Hunt-Stein":[209],"reduction,":[210],"yields":[212],"exact":[213],"finite-sample":[214],"reductions":[215],"Bayes-minimax":[217],"count,":[234],"which":[235],"follows":[236],"negative":[238],"binomial":[239],"distribution.":[240]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}
