{"id":"https://openalex.org/W2099833196","doi":"https://doi.org/10.1109/acc.2011.5991108","title":"Back and forth nudging for quantum state estimation by continuous weak measurement","display_name":"Back and forth nudging for quantum state estimation by continuous weak measurement","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2099833196","doi":"https://doi.org/10.1109/acc.2011.5991108","mag":"2099833196"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5991108","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991108","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046511583","display_name":"Zaki Leghtas","orcid":"https://orcid.org/0000-0002-9172-1537"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Zaki Leghtas","raw_affiliation_strings":["INRIA-Paris-Rocquencourt Domaine de Voluceau, Le Chesnay, France","INRIA Paris-Rocquencourt Domaine de Voluceau, BP105 78153 Le Chesnay Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA-Paris-Rocquencourt Domaine de Voluceau, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Paris-Rocquencourt Domaine de Voluceau, BP105 78153 Le Chesnay Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017123421","display_name":"Mazyar Mirrahimi","orcid":"https://orcid.org/0000-0001-9471-6031"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mazyar Mirrahimi","raw_affiliation_strings":["INRIA-Paris-Rocquencourt Domaine de Voluceau, Le Chesnay, France","INRIA Paris-Rocquencourt Domaine de Voluceau, BP105 78153 Le Chesnay Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA-Paris-Rocquencourt Domaine de Voluceau, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Paris-Rocquencourt Domaine de Voluceau, BP105 78153 Le Chesnay Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065752316","display_name":"Pierre Rouchon","orcid":"https://orcid.org/0000-0001-6160-5634"},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Rouchon","raw_affiliation_strings":["Mines-ParisTech, Centre Automatique et Syst\u00e8mes, Paris, France","Mines-ParisTech, Centre Automatique et Syst\u00e8mes, 60, boulevard Saint-Michel 75272 Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mines-ParisTech, Centre Automatique et Syst\u00e8mes, Paris, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Mines-ParisTech, Centre Automatique et Syst\u00e8mes, 60, boulevard Saint-Michel 75272 Cedex, France","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"4334","last_page":"4339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11993","display_name":"Atomic and Subatomic Physics Research","score":0.9918000102043152,"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/T11993","display_name":"Atomic and Subatomic Physics Research","score":0.9918000102043152,"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9732000231742859,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9466999769210815,"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/observable","display_name":"Observable","score":0.8468215465545654},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7853976488113403},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6968916058540344},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6921213865280151},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5392199158668518},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5285695195198059},{"id":"https://openalex.org/keywords/state-estimator","display_name":"State estimator","score":0.4686552584171295},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4579119086265564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4155108630657196},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4053025543689728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3902457058429718},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3750068247318268},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2953124940395355},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21021857857704163},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1972835659980774},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19429507851600647}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.8468215465545654},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7853976488113403},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6968916058540344},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6921213865280151},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5392199158668518},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5285695195198059},{"id":"https://openalex.org/C2984536560","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State estimator","level":3,"score":0.4686552584171295},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4579119086265564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4155108630657196},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4053025543689728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3902457058429718},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3750068247318268},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2953124940395355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21021857857704163},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1972835659980774},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19429507851600647},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5991108","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991108","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W3980525","https://openalex.org/W1986168529","https://openalex.org/W1988155384","https://openalex.org/W1992118120","https://openalex.org/W2002231977","https://openalex.org/W2041666676","https://openalex.org/W2081830310","https://openalex.org/W2101581278","https://openalex.org/W2105748268","https://openalex.org/W2118877356","https://openalex.org/W2146255907","https://openalex.org/W2158618715","https://openalex.org/W2164826144","https://openalex.org/W2168859963","https://openalex.org/W2332821728","https://openalex.org/W2606982402","https://openalex.org/W3102204710","https://openalex.org/W6600151856"],"related_works":["https://openalex.org/W1994680671","https://openalex.org/W2000283393","https://openalex.org/W2002320543","https://openalex.org/W2061947244","https://openalex.org/W2150232912","https://openalex.org/W2054940838","https://openalex.org/W2044444031","https://openalex.org/W2123024628","https://openalex.org/W2024277665","https://openalex.org/W4206631173"],"abstract_inverted_index":{"We":[0,26],"propose":[1],"to":[2,17,78,80,88,115],"apply":[3],"the":[4,19,66,73,81,94,107,113,116],"Back":[5],"and":[6,59,76,102],"Forth":[7],"Nudging":[8],"(BFN)":[9],"method":[10,52],"used":[11],"for":[12],"geophysical":[13],"data":[14,75],"assimilations":[15],"[1]":[16],"estimate":[18],"initial":[20],"state":[21,64],"of":[22,30,65,112],"a":[23,28,34,38],"quantum":[24],"system.":[25],"consider":[27],"cloud":[29],"atoms":[31],"interacting":[32],"with":[33],"magnetic":[35],"field":[36],"while":[37],"single":[39],"observable":[40],"is":[41,69,96,119],"being":[42],"continuously":[43,70],"measured":[44,74],"over":[45],"time":[46],"using":[47],"homodyne":[48],"detection.":[49],"The":[50,63,84],"BFN":[51,67],"relies":[53],"on":[54],"designing":[55],"an":[56],"observer":[57,68],"forward":[58],"backwards":[60],"in":[61,106],"time.":[62],"updated":[71],"by":[72],"tends":[77],"converge":[79],"system's":[82],"state.":[83],"proposed":[85],"estimator":[86],"seems":[87],"be":[89],"globally":[90],"asymptotically":[91],"convergent":[92],"when":[93],"system":[95],"observable.":[97],"A":[98],"detailed":[99],"convergence":[100],"proof":[101],"simulations":[103],"are":[104],"given":[105],"2-level":[108],"case.":[109],"An":[110],"extension":[111],"algorithm":[114],"multilevel":[117],"case":[118],"also":[120],"presented.":[121]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}