{"id":"https://openalex.org/W4362665475","doi":"https://doi.org/10.22331/q-2023-04-06-973","title":"Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains","display_name":"Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains","publication_year":2023,"publication_date":"2023-04-06","ids":{"openalex":"https://openalex.org/W4362665475","doi":"https://doi.org/10.22331/q-2023-04-06-973"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-04-06-973","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-04-06-973","pdf_url":"https://quantum-journal.org/papers/q-2023-04-06-973/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-2023-04-06-973/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043645333","display_name":"Alfred Godley","orcid":null},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alfred Godley","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, University Park, NG8 2SD Nottingham, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, University Park, NG8 2SD Nottingham, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078748305","display_name":"M\u0103d\u0103lin Gu\u0163\u01ce","orcid":"https://orcid.org/0000-0002-9017-2222"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Madalin Guta","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, University Park, NG8 2SD Nottingham, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, University Park, NG8 2SD Nottingham, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043645333"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.8165,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.92200421,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"973","last_page":"973"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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":0.9976000189781189,"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":0.9965999722480774,"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/computer-science","display_name":"Computer science","score":0.6027411222457886},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5161279439926147},{"id":"https://openalex.org/keywords/optimal-estimation","display_name":"Optimal estimation","score":0.5096077919006348},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.49316853284835815},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.46846482157707214},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.46519458293914795},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4528931975364685},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.43892142176628113},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.43277284502983093},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.42846226692199707},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.42543134093284607},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3346342444419861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31172800064086914},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11616989970207214},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09116274118423462},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08582106232643127}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6027411222457886},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5161279439926147},{"id":"https://openalex.org/C39425265","wikidata":"https://www.wikidata.org/wiki/Q7098944","display_name":"Optimal estimation","level":2,"score":0.5096077919006348},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.49316853284835815},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.46846482157707214},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46519458293914795},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4528931975364685},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.43892142176628113},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.43277284502983093},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.42846226692199707},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.42543134093284607},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3346342444419861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31172800064086914},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11616989970207214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09116274118423462},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08582106232643127},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2023-04-06-973","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-04-06-973","pdf_url":"https://quantum-journal.org/papers/q-2023-04-06-973/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:nottingham-repository.worktribe.com:19779983","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/19779983","pdf_url":"https://nottingham-repository.worktribe.com/file/19779983/1/Adaptive%20Measurement%20Filter%3A%20Efficient%20Strategy%20For%20Optimal%20Estimation%20Of%20Quantum%20Markov%20Chains","source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:doaj.org/article:a27599cd882547868eae1a3619717248","is_oa":true,"landing_page_url":"https://doaj.org/article/a27599cd882547868eae1a3619717248","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 7, p 973 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-04-06-973","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-04-06-973","pdf_url":"https://quantum-journal.org/papers/q-2023-04-06-973/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/G2559126365","display_name":"Statistical theory of controlled quantum dynamics","funder_award_id":"EP/T022140/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4715171194","display_name":null,"funder_award_id":"EP/T022140/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4362665475.pdf"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W1530682388","https://openalex.org/W1608838938","https://openalex.org/W1662373048","https://openalex.org/W1755870703","https://openalex.org/W1925468567","https://openalex.org/W1966574714","https://openalex.org/W1967378500","https://openalex.org/W1968315000","https://openalex.org/W1968668741","https://openalex.org/W1988927448","https://openalex.org/W1993488859","https://openalex.org/W1996542865","https://openalex.org/W1999024086","https://openalex.org/W2000215650","https://openalex.org/W2007948277","https://openalex.org/W2013512546","https://openalex.org/W2015876000","https://openalex.org/W2020050358","https://openalex.org/W2020783771","https://openalex.org/W2049445847","https://openalex.org/W2052436549","https://openalex.org/W2067342226","https://openalex.org/W2081175999","https://openalex.org/W2083423624","https://openalex.org/W2093545507","https://openalex.org/W2094267422","https://openalex.org/W2101153101","https://openalex.org/W2136506962","https://openalex.org/W2144083929","https://openalex.org/W2145623531","https://openalex.org/W2158692426","https://openalex.org/W2165728502","https://openalex.org/W2197056472","https://openalex.org/W2213542266","https://openalex.org/W2266204602","https://openalex.org/W2276665177","https://openalex.org/W2286527937","https://openalex.org/W2289455364","https://openalex.org/W2345835179","https://openalex.org/W2482581664","https://openalex.org/W2514948190","https://openalex.org/W2548804331","https://openalex.org/W2608205557","https://openalex.org/W2610491560","https://openalex.org/W2622552587","https://openalex.org/W2739135533","https://openalex.org/W2766137931","https://openalex.org/W2790344518","https://openalex.org/W2890855655","https://openalex.org/W2912150403","https://openalex.org/W2951318263","https://openalex.org/W2952539205","https://openalex.org/W2963395928","https://openalex.org/W2963783471","https://openalex.org/W3003510969","https://openalex.org/W3022074355","https://openalex.org/W3097999035","https://openalex.org/W3099197188","https://openalex.org/W3100733246","https://openalex.org/W3100777706","https://openalex.org/W3102184011","https://openalex.org/W3102232847","https://openalex.org/W3102788146","https://openalex.org/W3104157705","https://openalex.org/W3105491435","https://openalex.org/W3143400115","https://openalex.org/W4213406559","https://openalex.org/W4302561155"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340","https://openalex.org/W187740018","https://openalex.org/W2162286586","https://openalex.org/W4255368532"],"abstract_inverted_index":{"Continuous-time":[0],"measurements":[1,31],"are":[2],"instrumental":[3],"for":[4,77,90,101,158],"a":[5,52,92,115,120,148],"multitude":[6],"of":[7,18,21,38,66,80,86,108,114],"tasks":[8],"in":[9,41,63],"quantum":[10,13,23,69,117],"engineering":[11],"and":[12,96,141],"control,":[14],"including":[15],"the":[16,27,35,42,64,102,109,112,124,127,130,138],"estimation":[17,79],"dynamical":[19,82],"parameters":[20,83],"open":[22,54],"systems":[24],"monitored":[25],"through":[26],"environment.":[28],"However,":[29],"such":[30,136],"do":[32],"not":[33],"extract":[34],"maximum":[36],"amount":[37],"information":[39],"available":[40],"output":[43,103,125],"state,":[44],"so":[45],"finding":[46],"alternative":[47],"optimal":[48,78,159],"measurement":[49,99],"strategies":[50],"is":[51,111,133,145,166],"major":[53],"problem.":[55],"In":[56],"this":[57,61],"paper":[58],"we":[59],"solve":[60],"problem":[62],"setting":[65],"discrete-time":[67],"input-output":[68],"Markov":[70],"chains.":[71],"We":[72],"present":[73],"an":[74,87,155],"efficient":[75],"algorithm":[76],"one-dimensional":[81],"which":[84],"consists":[85],"iterative":[88],"procedure":[89],"updating":[91],"`measurement":[93],"filter&amp;apos;":[94],"operator":[95],"determining":[97],"successive":[98],"bases":[100],"units.":[104],"A":[105],"key":[106],"ingredient":[107],"scheme":[110,153],"use":[113],"coherent":[116],"absorber":[118,142],"as":[119],"way":[121],"to":[122,168],"post-process":[123],"after":[126],"interaction":[128],"with":[129],"system.":[131],"This":[132],"designed":[134],"adaptively":[135],"that":[137],"joint":[139],"system":[140],"stationary":[143],"state":[144],"pure":[146],"at":[147],"reference":[149],"parameter":[150],"value.":[151],"The":[152],"offers":[154],"exciting":[156],"prospect":[157],"continuous-time":[160],"adaptive":[161],"measurements,":[162],"but":[163],"more":[164],"work":[165],"needed":[167],"find":[169],"realistic":[170],"practical":[171],"implementations.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-04-07T00:00:00"}
