{"id":"https://openalex.org/W2798305660","doi":"https://doi.org/10.3390/e20090628","title":"Frequentist and Bayesian Quantum Phase Estimation","display_name":"Frequentist and Bayesian Quantum Phase Estimation","publication_year":2018,"publication_date":"2018-08-23","ids":{"openalex":"https://openalex.org/W2798305660","doi":"https://doi.org/10.3390/e20090628","mag":"2798305660","pmid":"https://pubmed.ncbi.nlm.nih.gov/33265717"},"language":"en","primary_location":{"id":"doi:10.3390/e20090628","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20090628","pdf_url":"https://www.mdpi.com/1099-4300/20/9/628/pdf","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/20/9/628/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yan Li","orcid":"https://orcid.org/0000-0003-0628-6153"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4392738299","display_name":"State Key Laboratory of Quantum Optics and Quantum Optics Devices","ror":"https://ror.org/035z18f46","country_code":null,"type":"facility","lineage":["https://openalex.org/I181877577","https://openalex.org/I4392738299"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Li","raw_affiliation_strings":["Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China"],"raw_orcid":"https://orcid.org/0000-0003-0628-6153","affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China","institution_ids":["https://openalex.org/I181877577","https://openalex.org/I4210125404","https://openalex.org/I4392738299"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Luca Pezz\u00e8","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155815","display_name":"Quantum Science and Technology in Arcetri","ror":"https://ror.org/04mmhnh95","country_code":"IT","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I30771326","https://openalex.org/I4210120293","https://openalex.org/I4210120496","https://openalex.org/I4210155236","https://openalex.org/I4210155815","https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Pezz\u00e8","raw_affiliation_strings":["QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy","institution_ids":["https://openalex.org/I4210155815"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Manuel Gessner","orcid":"https://orcid.org/0000-0003-4203-0366"},"institutions":[{"id":"https://openalex.org/I4210155815","display_name":"Quantum Science and Technology in Arcetri","ror":"https://ror.org/04mmhnh95","country_code":"IT","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I30771326","https://openalex.org/I4210120293","https://openalex.org/I4210120496","https://openalex.org/I4210155236","https://openalex.org/I4210155815","https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Manuel Gessner","raw_affiliation_strings":["QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4203-0366","affiliations":[{"raw_affiliation_string":"QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy","institution_ids":["https://openalex.org/I4210155815"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhihong Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4392738299","display_name":"State Key Laboratory of Quantum Optics and Quantum Optics Devices","ror":"https://ror.org/035z18f46","country_code":null,"type":"facility","lineage":["https://openalex.org/I181877577","https://openalex.org/I4392738299"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihong Ren","raw_affiliation_strings":["Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China","institution_ids":["https://openalex.org/I181877577","https://openalex.org/I4210125404","https://openalex.org/I4392738299"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Weidong Li","orcid":null},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4392738299","display_name":"State Key Laboratory of Quantum Optics and Quantum Optics Devices","ror":"https://ror.org/035z18f46","country_code":null,"type":"facility","lineage":["https://openalex.org/I181877577","https://openalex.org/I4392738299"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weidong Li","raw_affiliation_strings":["Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China","institution_ids":["https://openalex.org/I181877577","https://openalex.org/I4210125404","https://openalex.org/I4392738299"]}]},{"author_position":"last","author":{"id":null,"display_name":"Augusto Smerzi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155815","display_name":"Quantum Science and Technology in Arcetri","ror":"https://ror.org/04mmhnh95","country_code":"IT","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I30771326","https://openalex.org/I4210120293","https://openalex.org/I4210120496","https://openalex.org/I4210155236","https://openalex.org/I4210155815","https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Augusto Smerzi","raw_affiliation_strings":["QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy","institution_ids":["https://openalex.org/I4210155815"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181877577","https://openalex.org/I4210125404","https://openalex.org/I4392738299"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.3374,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.92909908,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"20","issue":"9","first_page":"628","last_page":"628"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.4564000070095062,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.4564000070095062,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.2678000032901764,"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":0.032600000500679016,"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/frequentist-inference","display_name":"Frequentist inference","score":0.9677000045776367},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6775000095367432},{"id":"https://openalex.org/keywords/point-estimation","display_name":"Point estimation","score":0.5720999836921692},{"id":"https://openalex.org/keywords/bayes-estimator","display_name":"Bayes estimator","score":0.4357999861240387},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3797999918460846},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.37130001187324524},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.36899998784065247},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3675999939441681}],"concepts":[{"id":"https://openalex.org/C162376815","wikidata":"https://www.wikidata.org/wiki/Q2158281","display_name":"Frequentist inference","level":4,"score":0.9677000045776367},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6775000095367432},{"id":"https://openalex.org/C41426520","wikidata":"https://www.wikidata.org/wiki/Q1192065","display_name":"Point estimation","level":2,"score":0.5720999836921692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5252000093460083},{"id":"https://openalex.org/C68022304","wikidata":"https://www.wikidata.org/wiki/Q842217","display_name":"Bayes estimator","level":3,"score":0.4357999861240387},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3774000108242035},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3709000051021576},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.35199999809265137},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.3382999897003174},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.33730000257492065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3287999927997589},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31790000200271606},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3111000061035156},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C101112237","wikidata":"https://www.wikidata.org/wiki/Q4874481","display_name":"Bayesian statistics","level":4,"score":0.3046000003814697},{"id":"https://openalex.org/C37903108","wikidata":"https://www.wikidata.org/wiki/Q4874474","display_name":"Bayesian linear regression","level":4,"score":0.27399998903274536},{"id":"https://openalex.org/C149569020","wikidata":"https://www.wikidata.org/wiki/Q25098598","display_name":"Bayesian average","level":5,"score":0.2678999900817871},{"id":"https://openalex.org/C75455068","wikidata":"https://www.wikidata.org/wiki/Q1455566","display_name":"Frequentist probability","level":3,"score":0.2632000148296356},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e20090628","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20090628","pdf_url":"https://www.mdpi.com/1099-4300/20/9/628/pdf","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33265717","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33265717","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:arXiv.org:1804.10048","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.10048","pdf_url":"https://arxiv.org/pdf/1804.10048","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:f081c32681754e30baea14a1b671c21d","is_oa":true,"landing_page_url":"https://doaj.org/article/f081c32681754e30baea14a1b671c21d","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":"Entropy, Vol 20, Iss 9, p 628 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/9/628/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e20090628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7513152","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7513152","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e20090628","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20090628","pdf_url":"https://www.mdpi.com/1099-4300/20/9/628/pdf","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2798305660.pdf","grobid_xml":"https://content.openalex.org/works/W2798305660.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W119038370","https://openalex.org/W1535258871","https://openalex.org/W1563040068","https://openalex.org/W1607705556","https://openalex.org/W1964618210","https://openalex.org/W1974086818","https://openalex.org/W1974675113","https://openalex.org/W1977096840","https://openalex.org/W1981983416","https://openalex.org/W1982455649","https://openalex.org/W1986962549","https://openalex.org/W2006681603","https://openalex.org/W2007523837","https://openalex.org/W2018637760","https://openalex.org/W2022766087","https://openalex.org/W2025363053","https://openalex.org/W2028896424","https://openalex.org/W2033442379","https://openalex.org/W2033513840","https://openalex.org/W2038674186","https://openalex.org/W2040348359","https://openalex.org/W2041209858","https://openalex.org/W2045209814","https://openalex.org/W2051618454","https://openalex.org/W2051869207","https://openalex.org/W2067976138","https://openalex.org/W2068938156","https://openalex.org/W2076842149","https://openalex.org/W2085200623","https://openalex.org/W2089437384","https://openalex.org/W2090192367","https://openalex.org/W2103002157","https://openalex.org/W2108491246","https://openalex.org/W2119227377","https://openalex.org/W2130958046","https://openalex.org/W2165709293","https://openalex.org/W2167933251","https://openalex.org/W2314157214","https://openalex.org/W2491807253","https://openalex.org/W2491981306","https://openalex.org/W2524449277","https://openalex.org/W2767966692","https://openalex.org/W2773836929","https://openalex.org/W2905382656","https://openalex.org/W3037089521","https://openalex.org/W3145544159","https://openalex.org/W4246841922","https://openalex.org/W4300706847","https://openalex.org/W4388247078","https://openalex.org/W6628836592","https://openalex.org/W6966132159"],"related_works":[],"abstract_inverted_index":{"Frequentist":[0],"and":[1,29,52,76],"Bayesian":[2,74,85],"phase":[3,39],"estimation":[4,35,120],"strategies":[5,75],"lead":[6],"to":[7,33,73,95],"conceptually":[8],"different":[9],"results":[10],"on":[11],"the":[12,17,26,34,47,65,84,89,101,105,119],"state":[13],"of":[14,20,36,49,121],"knowledge":[15],"about":[16,118],"true":[18],"value":[19],"an":[21,37],"unknown":[22],"parameter.":[23,55,124],"We":[24,56],"compare":[25],"two":[27,106],"frameworks":[28],"their":[30],"sensitivity":[31],"bounds":[32,111],"interferometric":[38],"shift":[40],"limited":[41],"by":[42],"quantum":[43],"noise,":[44],"considering":[45],"both":[46],"cases":[48],"a":[50,53,97,122],"fixed":[51,123],"fluctuating":[54,113],"point":[57],"out":[58],"that":[59,83],"frequentist":[60,90],"precision":[61],"bounds,":[62],"such":[63],"as":[64],"Cram\u00e9r-Rao":[66,91],"bound,":[67,92],"for":[68,112],"instance,":[69],"do":[70],"not":[71],"apply":[72],"vice":[77],"versa.":[78],"In":[79],"particular,":[80],"we":[81],"show":[82],"variance":[86],"can":[87],"overcome":[88],"which":[93],"appears":[94],"be":[96],"paradoxical":[98],"result":[99],"if":[100],"conceptual":[102],"difference":[103],"between":[104],"approaches":[107],"are":[108],"overlooked.":[109],"Similarly,":[110],"parameters":[114],"make":[115],"no":[116],"statement":[117]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2018-05-07T00:00:00"}