{"id":"https://openalex.org/W2998842053","doi":"https://doi.org/10.1007/s11128-019-2565-2","title":"Amplitude estimation without phase estimation","display_name":"Amplitude estimation without phase estimation","publication_year":2020,"publication_date":"2020-01-09","ids":{"openalex":"https://openalex.org/W2998842053","doi":"https://doi.org/10.1007/s11128-019-2565-2","mag":"2998842053"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-019-2565-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-019-2565-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-019-2565-2.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11128-019-2565-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034731881","display_name":"Yohichi Suzuki","orcid":"https://orcid.org/0000-0003-3666-1815"},"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":"Yohichi Suzuki","raw_affiliation_strings":["Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"raw_orcid":null,"affiliations":[{"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081233731","display_name":"Shumpei Uno","orcid":"https://orcid.org/0000-0001-9244-4642"},"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":"Shumpei Uno","raw_affiliation_strings":["Mizuho Information and Research Institute, Inc., 2-3 Kanda-Nishikicho, Chiyoda-ku, Tokyo, 101-8443, Japan","Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mizuho Information and Research Institute, Inc., 2-3 Kanda-Nishikicho, Chiyoda-ku, Tokyo, 101-8443, Japan","institution_ids":[]},{"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028489255","display_name":"Rudy Raymond","orcid":"https://orcid.org/0000-0003-1005-6705"},"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"]},{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Rudy Raymond","raw_affiliation_strings":["IBM Research - Tokyo, 19-21 Nihonbashi Hakozaki-cho, Chuo-ku, Tokyo, 103-8510, Japan","Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research - Tokyo, 19-21 Nihonbashi Hakozaki-cho, Chuo-ku, Tokyo, 103-8510, Japan","institution_ids":["https://openalex.org/I4210145865"]},{"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027685296","display_name":"Tomoki Tanaka","orcid":"https://orcid.org/0000-0002-8616-182X"},"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"]},{"id":"https://openalex.org/I4210100193","display_name":"Sumitomo Mitsui Banking Corporation","ror":"https://ror.org/01an1rj90","country_code":"JP","type":"other","lineage":["https://openalex.org/I4210100193","https://openalex.org/I4210108571"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomoki Tanaka","raw_affiliation_strings":["Mitsubishi UFJ Financial Group, Inc. and MUFG Bank, Ltd., 2-7-1 Marunouchi, Chiyoda-ku, Tokyo, 100-8388, Japan","Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mitsubishi UFJ Financial Group, Inc. and MUFG Bank, Ltd., 2-7-1 Marunouchi, Chiyoda-ku, Tokyo, 100-8388, Japan","institution_ids":["https://openalex.org/I4210100193"]},{"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001578514","display_name":"Tamiya Onodera","orcid":"https://orcid.org/0000-0002-6076-8236"},"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"]},{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tamiya Onodera","raw_affiliation_strings":["IBM Research - Tokyo, 19-21 Nihonbashi Hakozaki-cho, Chuo-ku, Tokyo, 103-8510, Japan","Quantum Computing Center, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research - Tokyo, 19-21 Nihonbashi Hakozaki-cho, Chuo-ku, Tokyo, 103-8510, Japan","institution_ids":["https://openalex.org/I4210145865"]},{"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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071299671","display_name":"Naoki Yamamoto","orcid":"https://orcid.org/0000-0002-8497-4608"},"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":"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"],"raw_orcid":"https://orcid.org/0000-0002-8497-4608","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":6,"corresponding_author_ids":["https://openalex.org/A5071299671"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":{"value":2040,"currency":"EUR","value_usd":2690},"fwci":17.8771,"has_fulltext":true,"cited_by_count":242,"citation_normalized_percentile":{"value":0.99399024,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"19","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9987999796867371,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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-phase-estimation-algorithm","display_name":"Quantum phase estimation algorithm","score":0.8032392263412476},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.7812643051147461},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6732827425003052},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.6630786061286926},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.6566511392593384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6166567802429199},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5598350763320923},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.506412148475647},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.49813365936279297},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49357903003692627},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4356236457824707},{"id":"https://openalex.org/keywords/quantum-fourier-transform","display_name":"Quantum Fourier transform","score":0.41867348551750183},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.328693151473999},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2611590325832367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18409645557403564},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13412433862686157}],"concepts":[{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.8032392263412476},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.7812643051147461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6732827425003052},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.6630786061286926},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.6566511392593384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6166567802429199},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5598350763320923},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.506412148475647},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.49813365936279297},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49357903003692627},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4356236457824707},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.41867348551750183},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.328693151473999},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2611590325832367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18409645557403564},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13412433862686157},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11128-019-2565-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-019-2565-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-019-2565-2.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1904.10246","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.10246","pdf_url":"https://arxiv.org/pdf/1904.10246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s11128-019-2565-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-019-2565-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-019-2565-2.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Information Processing","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"}],"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/W2998842053.pdf","grobid_xml":"https://content.openalex.org/works/W2998842053.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1503870031","https://openalex.org/W1637628170","https://openalex.org/W1777377168","https://openalex.org/W1965765304","https://openalex.org/W1998217267","https://openalex.org/W2065768518","https://openalex.org/W2084652510","https://openalex.org/W2117872989","https://openalex.org/W2120857104","https://openalex.org/W2121981260","https://openalex.org/W2143677375","https://openalex.org/W2157120748","https://openalex.org/W2164248509","https://openalex.org/W2257937122","https://openalex.org/W2282673650","https://openalex.org/W2302385053","https://openalex.org/W2403035479","https://openalex.org/W2606456423","https://openalex.org/W2773410499","https://openalex.org/W2781738013","https://openalex.org/W2796930440","https://openalex.org/W2798745146","https://openalex.org/W2809024202","https://openalex.org/W2904801124","https://openalex.org/W2905260087","https://openalex.org/W2917900170","https://openalex.org/W2951663210","https://openalex.org/W2962954040","https://openalex.org/W2971322484","https://openalex.org/W2982388474","https://openalex.org/W2982419001","https://openalex.org/W3098477102","https://openalex.org/W3100063892","https://openalex.org/W3100931082","https://openalex.org/W3110491466","https://openalex.org/W3209612530","https://openalex.org/W3217033513","https://openalex.org/W4294570726","https://openalex.org/W6912284476"],"related_works":["https://openalex.org/W3136237069","https://openalex.org/W2138874081","https://openalex.org/W2566913519","https://openalex.org/W2891491794","https://openalex.org/W4311689615","https://openalex.org/W1980834277","https://openalex.org/W2155794351","https://openalex.org/W3203856319","https://openalex.org/W2362057230","https://openalex.org/W3117026029"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"focuses":[3],"on":[4,89],"the":[5,30,48,72,78,84,90,116],"quantum":[6,16,44,59,67,96,118],"amplitude":[7,25,68,102],"estimation":[8,26,32,69,87],"algorithm,":[9,33],"which":[10,34],"is":[11,27,51,81],"a":[12,43,66,121],"core":[13],"subroutine":[14],"in":[15],"computation":[17],"for":[18,24],"various":[19],"applications.":[20],"The":[21],"conventional":[22],"approach":[23],"to":[28,53,82],"use":[29,73],"phase":[31],"consists":[35],"of":[36,74,101],"many":[37],"controlled":[38,76],"amplification":[39,103],"operations":[40],"followed":[41],"by":[42],"Fourier":[45],"transform.":[46],"However,":[47],"whole":[49],"procedure":[50],"hard":[52],"implement":[54],"with":[55,98,120],"current":[56],"and":[57],"near-term":[58],"computers.":[60],"In":[61],"this":[62],"paper,":[63],"we":[64,107],"propose":[65],"algorithm":[70,112],"without":[71],"expensive":[75],"operations;":[77],"key":[79],"idea":[80],"utilize":[83],"maximum":[85],"likelihood":[86],"based":[88],"combined":[91],"measurement":[92],"data":[93],"produced":[94],"from":[95],"circuits":[97],"different":[99],"numbers":[100],"operations.":[104],"Numerical":[105],"simulations":[106],"conducted":[108],"demonstrate":[109],"that":[110],"our":[111],"asymptotically":[113],"achieves":[114],"nearly":[115],"optimal":[117],"speedup":[119],"reasonable":[122],"circuit":[123],"length.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":60},{"year":2024,"cited_by_count":35},{"year":2023,"cited_by_count":32},{"year":2022,"cited_by_count":42},{"year":2021,"cited_by_count":31},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
