{"id":"https://openalex.org/W4414124662","doi":"https://doi.org/10.22331/q-2025-09-11-1856","title":"Bayesian Quantum Amplitude Estimation","display_name":"Bayesian Quantum Amplitude Estimation","publication_year":2025,"publication_date":"2025-09-11","ids":{"openalex":"https://openalex.org/W4414124662","doi":"https://doi.org/10.22331/q-2025-09-11-1856"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-09-11-1856","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-09-11-1856","pdf_url":"https://quantum-journal.org/papers/q-2025-09-11-1856/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-2025-09-11-1856/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115003281","display_name":"Alexandra Ram\u00f4a","orcid":null},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]},{"id":"https://openalex.org/I4210141319","display_name":"International Iberian Nanotechnology Laboratory","ror":"https://ror.org/04dv3aq25","country_code":"PT","type":"facility","lineage":["https://openalex.org/I4210141319"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Alexandra Ram\u00f4a","raw_affiliation_strings":["High-Assurance Software Laboratory (HASLab), INESC TEC, Portugal","International Iberian Nanotechnology Laboratory (INL), PortugalDepartment of Computer Science, University of Minho, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High-Assurance Software Laboratory (HASLab), INESC TEC, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"International Iberian Nanotechnology Laboratory (INL), PortugalDepartment of Computer Science, University of Minho, Portugal","institution_ids":["https://openalex.org/I4210141319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014275814","display_name":"Lu\u00eds Paulo Santos","orcid":"https://orcid.org/0000-0003-4466-1129"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]},{"id":"https://openalex.org/I4210141319","display_name":"International Iberian Nanotechnology Laboratory","ror":"https://ror.org/04dv3aq25","country_code":"PT","type":"facility","lineage":["https://openalex.org/I4210141319"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Luis Paulo Santos","raw_affiliation_strings":["High-Assurance Software Laboratory (HASLab), INESC TEC, Portugal","International Iberian Nanotechnology Laboratory (INL), PortugalDepartment of Computer Science, University of Minho, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High-Assurance Software Laboratory (HASLab), INESC TEC, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"International Iberian Nanotechnology Laboratory (INL), PortugalDepartment of Computer Science, University of Minho, Portugal","institution_ids":["https://openalex.org/I4210141319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":4.188,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94278447,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"1856","last_page":"1856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10020","display_name":"Quantum Information and Cryptography","score":0.9976999759674072,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.588699996471405},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5375000238418579},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5084999799728394},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5012999773025513},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4855000078678131},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46950000524520874},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3953000009059906},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.37700000405311584}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.652999997138977},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.588699996471405},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5375000238418579},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5084999799728394},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5012999773025513},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4855000078678131},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46950000524520874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4693000018596649},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3953000009059906},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.37700000405311584},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.35440000891685486},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.337799996137619},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3294000029563904},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.31679999828338623},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.311599999666214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30979999899864197},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C2778049539","wikidata":"https://www.wikidata.org/wiki/Q17002908","display_name":"Bayesian optimization","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.2687999904155731},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C111996192","wikidata":"https://www.wikidata.org/wiki/Q7269075","display_name":"Quantum noise","level":3,"score":0.26440000534057617},{"id":"https://openalex.org/C68022304","wikidata":"https://www.wikidata.org/wiki/Q842217","display_name":"Bayes estimator","level":3,"score":0.26249998807907104},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2590999901294708}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2025-09-11-1856","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-09-11-1856","pdf_url":"https://quantum-journal.org/papers/q-2025-09-11-1856/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:f5031bc94e7e4326949ecbe75a4b69a4","is_oa":true,"landing_page_url":"https://doaj.org/article/f5031bc94e7e4326949ecbe75a4b69a4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 9, p 1856 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-09-11-1856","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-09-11-1856","pdf_url":"https://quantum-journal.org/papers/q-2025-09-11-1856/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/G3244141788","display_name":null,"funder_award_id":"50014","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414124662.pdf","grobid_xml":"https://content.openalex.org/works/W4414124662.grobid-xml"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W1483307070","https://openalex.org/W1513873506","https://openalex.org/W1967275021","https://openalex.org/W1986962549","https://openalex.org/W1998217267","https://openalex.org/W2025454168","https://openalex.org/W2065768518","https://openalex.org/W2076021266","https://openalex.org/W2083893620","https://openalex.org/W2084652510","https://openalex.org/W2087942425","https://openalex.org/W2121981260","https://openalex.org/W2135194391","https://openalex.org/W2137147061","https://openalex.org/W2147357149","https://openalex.org/W2164248509","https://openalex.org/W2165609874","https://openalex.org/W2255999398","https://openalex.org/W2282673650","https://openalex.org/W2595654587","https://openalex.org/W2597208492","https://openalex.org/W2798745146","https://openalex.org/W2809024202","https://openalex.org/W2898777889","https://openalex.org/W2905260087","https://openalex.org/W2943869291","https://openalex.org/W2950920240","https://openalex.org/W2951576479","https://openalex.org/W2971322484","https://openalex.org/W2976553665","https://openalex.org/W2982419001","https://openalex.org/W2995849402","https://openalex.org/W2998842053","https://openalex.org/W3006357116","https://openalex.org/W3037022125","https://openalex.org/W3037571510","https://openalex.org/W3038106692","https://openalex.org/W3060802826","https://openalex.org/W3098181014","https://openalex.org/W3098477102","https://openalex.org/W3102193956","https://openalex.org/W3102427691","https://openalex.org/W3102473066","https://openalex.org/W3105676084","https://openalex.org/W3106843303","https://openalex.org/W3113052911","https://openalex.org/W3113896616","https://openalex.org/W3122573466","https://openalex.org/W3127787592","https://openalex.org/W3132125399","https://openalex.org/W3138594108","https://openalex.org/W3138943493","https://openalex.org/W3196100502","https://openalex.org/W3198750867","https://openalex.org/W3207084787","https://openalex.org/W4221027761","https://openalex.org/W4221119529","https://openalex.org/W4223416379","https://openalex.org/W4280559550","https://openalex.org/W4282813741","https://openalex.org/W4286899647","https://openalex.org/W4295699275","https://openalex.org/W4297730691","https://openalex.org/W4300878239","https://openalex.org/W4315779748","https://openalex.org/W4317860844","https://openalex.org/W4388320111","https://openalex.org/W4391943965","https://openalex.org/W4405032507"],"related_works":["https://openalex.org/W2368707535","https://openalex.org/W2352325302","https://openalex.org/W2114728125","https://openalex.org/W2914214844","https://openalex.org/W4220780651","https://openalex.org/W2350447072","https://openalex.org/W30733840","https://openalex.org/W2495884403","https://openalex.org/W2388260686","https://openalex.org/W3122803093"],"abstract_inverted_index":{"We":[0,38,87],"present":[1],"BAE,":[2],"a":[3,14,89,127],"problem-tailored":[4],"and":[5,36,63,73,83,96,112],"noise-aware":[6],"Bayesian":[7],"algorithm":[8,125],"for":[9,68,92],"quantum":[10,62],"amplitude":[11,93],"estimation.":[12],"In":[13,115,132],"fault":[15],"tolerant":[16],"scenario,":[17],"BAE":[18,31,46,101],"is":[19,29,138],"capable":[20,139],"of":[21,45,129,135,140],"saturating":[22],"the":[23,130,133],"Heisenberg":[24],"limit;":[25],"if":[26],"device":[27],"noise":[28,70],"present,":[30],"can":[32,74],"dynamically":[33],"characterize":[34],"it":[35,98,118,137],"self-adapt.":[37],"further":[39],"propose":[40,88],"aBAE,":[41],"an":[42],"annealed":[43],"variant":[44],"drawing":[47],"on":[48],"methods":[49],"from":[50],"statistical":[51],"inference,":[52],"to":[53,99],"enhance":[54],"robustness.":[55],"Our":[56],"proposals":[57],"are":[58],"parallelizable":[59],"in":[60,109],"both":[61,110,116],"classical":[64],"components,":[65],"offer":[66],"tools":[67],"fast":[69],"model":[71],"assessment,":[72],"leverage":[75],"preexisting":[76],"information.":[77],"Additionally,":[78],"they":[79],"accommodate":[80],"experimental":[81],"limitations":[82],"preferred":[84],"cost":[85],"trade-offs.":[86],"robust":[90],"benchmark":[91],"estimation":[94],"algorithms":[95,144],"use":[97],"test":[100],"against":[102],"other":[103,124,143],"approaches,":[104],"demonstrating":[105],"its":[106],"competitive":[107],"performance":[108],"noisy":[111],"noiseless":[113],"scenarios.":[114],"cases,":[117],"achieves":[119],"lower":[120],"error":[121],"than":[122],"any":[123],"as":[126],"function":[128],"cost.":[131],"presence":[134],"decoherence,":[136],"learning":[141],"when":[142],"fail.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}