{"id":"https://openalex.org/W4402371911","doi":"https://doi.org/10.22331/q-2024-09-09-1463","title":"Quantum-enhanced mean value estimation via adaptive measurement","display_name":"Quantum-enhanced mean value estimation via adaptive measurement","publication_year":2024,"publication_date":"2024-09-09","ids":{"openalex":"https://openalex.org/W4402371911","doi":"https://doi.org/10.22331/q-2024-09-09-1463"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-09-09-1463","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-09-09-1463","pdf_url":"https://quantum-journal.org/papers/q-2024-09-09-1463/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":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-09-09-1463/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028611549","display_name":"Kaito Wada","orcid":"https://orcid.org/0000-0003-4976-4530"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kaito Wada","raw_affiliation_strings":["Department of Applied Physics and Physico-Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Physico-Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062777579","display_name":"Kazuma Fukuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuma Fukuchi","raw_affiliation_strings":["Department of Applied Physics and Physico-Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Physico-Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077704571","display_name":"Naoki Yamamoto","orcid":"https://orcid.org/0000-0003-2021-0104"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoki Yamamoto","raw_affiliation_strings":["Department of Applied Physics and Physico-Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan","Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Physico-Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028611549"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.6813,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75317153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"8","issue":null,"first_page":"1463","last_page":"1463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998000264167786,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5382310152053833},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.535230815410614},{"id":"https://openalex.org/keywords/mean-value","display_name":"Mean value","score":0.5163618326187134},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4873086214065552},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4197773337364197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40792983770370483},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33724555373191833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26593446731567383},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18597114086151123},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11916777491569519}],"concepts":[{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5382310152053833},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.535230815410614},{"id":"https://openalex.org/C2988626262","wikidata":"https://www.wikidata.org/wiki/Q2796622","display_name":"Mean value","level":2,"score":0.5163618326187134},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4873086214065552},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4197773337364197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40792983770370483},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33724555373191833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26593446731567383},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18597114086151123},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11916777491569519},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2024-09-09-1463","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-09-09-1463","pdf_url":"https://quantum-journal.org/papers/q-2024-09-09-1463/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:doaj.org/article:837084415c324e14a45cd589e1d7ae61","is_oa":true,"landing_page_url":"https://doaj.org/article/837084415c324e14a45cd589e1d7ae61","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1463 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-09-09-1463","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-09-09-1463","pdf_url":"https://quantum-journal.org/papers/q-2024-09-09-1463/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/G3036717327","display_name":null,"funder_award_id":"JPMXS0118067285","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G6892783698","display_name":null,"funder_award_id":"PMXS0118067285","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G7599130655","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G8045216944","display_name":null,"funder_award_id":"JPMXS0120319794","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G938797401","display_name":null,"funder_award_id":"MXS012031979","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402371911.pdf","grobid_xml":"https://content.openalex.org/works/W4402371911.grobid-xml"},"referenced_works_count":94,"referenced_works":["https://openalex.org/W297817871","https://openalex.org/W653026187","https://openalex.org/W803586103","https://openalex.org/W1486524748","https://openalex.org/W1975231308","https://openalex.org/W1975605050","https://openalex.org/W1981983416","https://openalex.org/W1985771852","https://openalex.org/W1986962549","https://openalex.org/W1993122650","https://openalex.org/W1993488859","https://openalex.org/W1999715345","https://openalex.org/W2038710373","https://openalex.org/W2051869207","https://openalex.org/W2065768518","https://openalex.org/W2076021266","https://openalex.org/W2082945629","https://openalex.org/W2083423624","https://openalex.org/W2093231482","https://openalex.org/W2121981260","https://openalex.org/W2148186131","https://openalex.org/W2161685427","https://openalex.org/W2168953727","https://openalex.org/W2170794175","https://openalex.org/W2282673650","https://openalex.org/W2302385053","https://openalex.org/W2326900912","https://openalex.org/W2535738892","https://openalex.org/W2558921197","https://openalex.org/W2755255888","https://openalex.org/W2782457082","https://openalex.org/W2897217696","https://openalex.org/W2900404755","https://openalex.org/W2901938358","https://openalex.org/W2904801124","https://openalex.org/W2923481626","https://openalex.org/W2950567220","https://openalex.org/W2964310589","https://openalex.org/W2969454111","https://openalex.org/W2971322484","https://openalex.org/W2995849402","https://openalex.org/W2998842053","https://openalex.org/W3006823398","https://openalex.org/W3014684719","https://openalex.org/W3016493622","https://openalex.org/W3037447387","https://openalex.org/W3037571510","https://openalex.org/W3038106692","https://openalex.org/W3039561727","https://openalex.org/W3088357939","https://openalex.org/W3093783019","https://openalex.org/W3095458419","https://openalex.org/W3100063892","https://openalex.org/W3100294336","https://openalex.org/W3101824094","https://openalex.org/W3102427691","https://openalex.org/W3103870741","https://openalex.org/W3103872322","https://openalex.org/W3105439835","https://openalex.org/W3105676084","https://openalex.org/W3106843303","https://openalex.org/W3111162498","https://openalex.org/W3113052911","https://openalex.org/W3132125399","https://openalex.org/W3138594108","https://openalex.org/W3138943493","https://openalex.org/W3143400115","https://openalex.org/W3162772786","https://openalex.org/W3181079758","https://openalex.org/W3192386363","https://openalex.org/W3196615270","https://openalex.org/W3198724629","https://openalex.org/W3198750867","https://openalex.org/W3207084787","https://openalex.org/W3215183963","https://openalex.org/W4200164985","https://openalex.org/W4206585693","https://openalex.org/W4221051274","https://openalex.org/W4223416379","https://openalex.org/W4225699276","https://openalex.org/W4226503604","https://openalex.org/W4245734393","https://openalex.org/W4249446031","https://openalex.org/W4256486907","https://openalex.org/W4282545916","https://openalex.org/W4295699275","https://openalex.org/W4303982728","https://openalex.org/W4311815019","https://openalex.org/W4318071429","https://openalex.org/W4321614065","https://openalex.org/W4322774260","https://openalex.org/W4386284978","https://openalex.org/W4388483788","https://openalex.org/W6910678135"],"related_works":["https://openalex.org/W2576994247","https://openalex.org/W2608353378","https://openalex.org/W4249206767","https://openalex.org/W2563559453","https://openalex.org/W2382330008","https://openalex.org/W1519970947","https://openalex.org/W4243860260","https://openalex.org/W4383503847","https://openalex.org/W2342695897","https://openalex.org/W2216265843"],"abstract_inverted_index":{"Quantum-enhanced":[0],"(i.e.,":[1],"higher":[2],"performance":[3,75],"by":[4],"quantum":[5,22,32,37,54,65,78,110],"effects":[6],"than":[7],"any":[8,173],"classical":[9],"methods)":[10],"mean":[11,111,124],"value":[12,125],"estimation":[13,38,70,92,126],"of":[14,44,63,76,142,146,175,187,208,221],"observables":[15],"is":[16,27,49,82],"a":[17,87,122,129,143,154,165,180,218],"fundamental":[18],"task":[19],"in":[20,24,31,128,139,153],"various":[21],"technologies;":[23],"particular,":[25],"it":[26,81],"an":[28,46,104],"essential":[29],"subroutine":[30],"computing":[33],"algorithms.":[34],"Notably,":[35],"the":[36,41,53,61,64,69,74,96,136,140,150,157,161,184,188,206,209,214,226],"theory":[39],"identifies":[40],"ultimate":[42,105],"precision":[43,71],"such":[45,103,192],"estimator,":[47],"which":[48],"referred":[50],"to":[51,85,204,223],"as":[52,193],"Cram\u00e9r-Rao":[55],"(QCR)":[56],"lower":[57],"bound":[58,138,152],"or":[59],"equivalently":[60],"inverse":[62],"Fisher":[66],"information.":[67],"Because":[68],"directly":[72],"determines":[73],"those":[77],"technological":[79],"systems,":[80],"highly":[83],"demanded":[84],"develop":[86],"generic":[88],"and":[89,106,164,195],"practically":[90],"implementable":[91,107],"method":[93,127,158],"that":[94,133,168,213],"achieves":[95,135],"QCR":[97,137,151,227],"bound.":[98,228],"Under":[99],"imperfect":[100],"conditions,":[101],"however,":[102],"estimator":[108,191,215],"for":[109,183],"values":[112],"has":[113],"not":[114],"been":[115],"developed.":[116],"In":[117],"this":[118],"paper,":[119],"we":[120],"propose":[121],"quantum-enhanced":[123],"depolarizing":[130],"noisy":[131],"environment":[132],"asymptotically":[134],"limit":[141],"large":[144],"number":[145,220],"qubits.":[147],"To":[148],"approach":[149],"practical":[155],"setting,":[156],"adaptively":[159],"optimizes":[160],"amplitude":[162],"amplification":[163],"specific":[166],"measurement":[167],"can":[169],"be":[170],"implemented":[171],"without":[172],"knowledge":[174],"state":[176],"preparation.":[177],"We":[178],"provide":[179],"rigorous":[181],"analysis":[182],"statistical":[185],"properties":[186],"proposed":[189],"adaptive":[190],"consistency":[194],"asymptotic":[196],"normality.":[197],"Furthermore,":[198],"several":[199],"numerical":[200],"simulations":[201],"are":[202],"provided":[203],"demonstrate":[205],"effectiveness":[207],"method,":[210],"particularly":[211],"showing":[212],"needs":[216],"only":[217],"modest":[219],"measurements":[222],"almost":[224],"saturate":[225]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
