{"id":"https://openalex.org/W2136089111","doi":"https://doi.org/10.1137/060671504","title":"A Discrete Invitation to Quantum Filtering and Feedback Control","display_name":"A Discrete Invitation to Quantum Filtering and Feedback Control","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W2136089111","doi":"https://doi.org/10.1137/060671504","mag":"2136089111"},"language":"en","primary_location":{"id":"doi:10.1137/060671504","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060671504","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0606118","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Luc Bouten","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Luc Bouten","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Ramon van Handel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ramon van Handel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Matthew R. James","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matthew R. James","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.5809,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.97729556,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"51","issue":"2","first_page":"239","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.4196999967098236,"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":0.4196999967098236,"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":0.2328999936580658,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.17389999330043793,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4821000099182129},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44440001249313354},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4399999976158142},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40630000829696655},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.3905999958515167},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.37549999356269836},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.36980000138282776},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.36169999837875366},{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.3384999930858612}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4821000099182129},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4700999855995178},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44440001249313354},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4399999976158142},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40630000829696655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3993000090122223},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.3905999958515167},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.37549999356269836},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.36980000138282776},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.36169999837875366},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.3384999930858612},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32499998807907104},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.3188000023365021},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C2984281365","wikidata":"https://www.wikidata.org/wiki/Q906781","display_name":"Quantum control","level":3,"score":0.30820000171661377},{"id":"https://openalex.org/C152026323","wikidata":"https://www.wikidata.org/wiki/Q1032070","display_name":"Coherent states","level":3,"score":0.3070000112056732},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.28630000352859497},{"id":"https://openalex.org/C194269254","wikidata":"https://www.wikidata.org/wiki/Q661063","display_name":"Squeezed coherent state","level":4,"score":0.28119999170303345},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.2802000045776367},{"id":"https://openalex.org/C95013731","wikidata":"https://www.wikidata.org/wiki/Q7269071","display_name":"Quantum metrology","level":5,"score":0.27160000801086426},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.257999986410141},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2556000053882599},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2517000138759613}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/060671504","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060671504","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0606118","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0606118","pdf_url":"https://arxiv.org/pdf/math/0606118","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:authors.library.caltech.edu:14953","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20090811-111434670","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/57162","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/57162","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Review","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0606118","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0606118","pdf_url":"https://arxiv.org/pdf/math/0606118","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1552564179","https://openalex.org/W1969938643","https://openalex.org/W1976288589","https://openalex.org/W1976777526","https://openalex.org/W1985144383","https://openalex.org/W1986168529","https://openalex.org/W1991530331","https://openalex.org/W1994994693","https://openalex.org/W2003922224","https://openalex.org/W2007046555","https://openalex.org/W2009087153","https://openalex.org/W2014063759","https://openalex.org/W2019601500","https://openalex.org/W2019904958","https://openalex.org/W2026337802","https://openalex.org/W2027591506","https://openalex.org/W2028724991","https://openalex.org/W2029543068","https://openalex.org/W2035978203","https://openalex.org/W2039540991","https://openalex.org/W2040272543","https://openalex.org/W2041919985","https://openalex.org/W2045689488","https://openalex.org/W2054035194","https://openalex.org/W2055255242","https://openalex.org/W2063531468","https://openalex.org/W2068099730","https://openalex.org/W2070389945","https://openalex.org/W2079073804","https://openalex.org/W2080606239","https://openalex.org/W2083387993","https://openalex.org/W2083999149","https://openalex.org/W2084265277","https://openalex.org/W2086841542","https://openalex.org/W2097876164","https://openalex.org/W2115868614","https://openalex.org/W2122072646","https://openalex.org/W2130511475","https://openalex.org/W2146612430","https://openalex.org/W2160834299"],"related_works":[],"abstract_inverted_index":{"The":[0,24,86],"engineering":[1],"and":[2,19,52,62,91,137,140,149],"control":[3,53,64,144],"of":[4,14,17,40,47,65,76,96,105,114,122],"devices":[5],"at":[6,31],"the":[7,37,77,97,103,111,115,128],"quantum":[8,66],"mechanical":[9,67],"level\u2014such":[10],"as":[11],"those":[12],"consisting":[13],"small":[15],"numbers":[16],"atoms":[18],"photons\u2014is":[20],"a":[21,44,73,93,142],"delicate":[22],"business.":[23],"fundamental":[25],"uncertainty":[26],"that":[27,80],"is":[28,71,81,88],"inherently":[29],"present":[30],"this":[32,43,56],"scale":[33],"manifests":[34],"itself":[35],"in":[36,69,83,125],"unavoidable":[38],"presence":[39],"noise,":[41],"making":[42],"novel":[45],"field":[46],"application":[48],"for":[49,134],"stochastic":[50,143],"estimation":[51,61],"theory.":[54],"In":[55],"expository":[57],"paper":[58],"we":[59],"demonstrate":[60],"feedback":[63],"systems":[68],"what":[70],"essentially":[72],"noncommutative":[74],"version":[75],"binomial":[78],"model":[79,87],"popular":[82],"mathematical":[84],"finance.":[85],"extremely":[89],"rich":[90],"allows":[92],"full":[94],"development":[95],"theory":[98],"while":[99],"remaining":[100],"completely":[101],"within":[102],"setting":[104],"finite-dimensional":[106],"Hilbert":[107],"spaces":[108],"(thus":[109],"avoiding":[110],"technical":[112],"complications":[113],"continuous":[116],"theory).":[117],"We":[118],"introduce":[119],"discretized":[120],"models":[121],"an":[123],"atom":[124],"interaction":[126],"with":[127],"electromagnetic":[129],"field,":[130],"obtain":[131],"filtering":[132],"equations":[133],"photon":[135],"counting":[136],"homodyne":[138],"detection,":[139],"solve":[141],"problem":[145],"using":[146],"dynamic":[147],"programming":[148],"Lyapunov":[150],"function":[151],"methods.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}