{"id":"https://openalex.org/W1492153140","doi":"https://doi.org/10.23919/ecc.2013.6669234","title":"A stochastic Lyapunov feedback technique for propagator generation of quantum systems on U(n)","display_name":"A stochastic Lyapunov feedback technique for propagator generation of quantum systems on U(n)","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1492153140","doi":"https://doi.org/10.23919/ecc.2013.6669234","mag":"1492153140"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669234","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","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/A5039197928","display_name":"H. B. Silveira","orcid":"https://orcid.org/0000-0001-5047-8692"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"H. B. Silveira","raw_affiliation_strings":["Department of Automation and Systems (DAS), Federal University of Santa Catarina (UFSC), Brazil","Dept. of Autom. & Syst. (DAS), Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems (DAS), Federal University of Santa Catarina (UFSC), Brazil","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"Dept. of Autom. & Syst. (DAS), Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068346372","display_name":"Paulo S\u00e9rgio Pereira da Silva","orcid":"https://orcid.org/0000-0002-5458-182X"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210090141","display_name":"Centre for Research and Development in Telecommunications (Brazil)","ror":"https://ror.org/00ej99c12","country_code":"BR","type":"company","lineage":["https://openalex.org/I4210090141"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"P. S. Pereira da Silva","raw_affiliation_strings":["Department of Telecommunications and Control Engineering (PTC), University of S\u00e3o Paulo (USP), Brazil","Dept. of Telecommun. & Control Eng. (PTC), Univ. of Sao Paulo (USP), Sao Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Telecommunications and Control Engineering (PTC), University of S\u00e3o Paulo (USP), Brazil","institution_ids":["https://openalex.org/I4210090141"]},{"raw_affiliation_string":"Dept. of Telecommun. & Control Eng. (PTC), Univ. of Sao Paulo (USP), Sao Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"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":"P. Rouchon","raw_affiliation_strings":["Mines ParisTech, Centre Automatique et Syst\u00e8mes, France","Centre Autom. et Syst., Math. et Syst. (CAS), Mines ParisTech, Paris, France"],"affiliations":[{"raw_affiliation_string":"Mines ParisTech, Centre Automatique et Syst\u00e8mes, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Centre Autom. et Syst., Math. et Syst. (CAS), Mines ParisTech, Paris, France","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039197928"],"corresponding_institution_ids":["https://openalex.org/I4104125"],"apc_list":null,"apc_paid":null,"fwci":0.4989,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6381499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2712","last_page":"2716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9950000047683716,"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/propagator","display_name":"Propagator","score":0.9130568504333496},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6669479608535767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5509034991264343},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5132296085357666},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5041230916976929},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4824691116809845},{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.47156259417533875},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.45905694365501404},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.42930367588996887},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3811160922050476},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3653642535209656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2647695541381836},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.178422212600708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12532493472099304},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12345626950263977},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12260586023330688},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1096324622631073}],"concepts":[{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.9130568504333496},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6669479608535767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5509034991264343},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5132296085357666},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5041230916976929},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4824691116809845},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.47156259417533875},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.45905694365501404},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.42930367588996887},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3811160922050476},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3653642535209656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2647695541381836},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.178422212600708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12532493472099304},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12345626950263977},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12260586023330688},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1096324622631073},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669234","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W100568604","https://openalex.org/W1604226557","https://openalex.org/W1631356911","https://openalex.org/W1971044547","https://openalex.org/W2023285936","https://openalex.org/W2026872054","https://openalex.org/W2032128836","https://openalex.org/W2035854693","https://openalex.org/W2050439892","https://openalex.org/W2054931070","https://openalex.org/W2057285417","https://openalex.org/W2069427982","https://openalex.org/W2091744500","https://openalex.org/W2096501535","https://openalex.org/W2133841948","https://openalex.org/W2156853786","https://openalex.org/W2170348041","https://openalex.org/W2501142942","https://openalex.org/W2570513205","https://openalex.org/W3103500997"],"related_works":["https://openalex.org/W1488175704","https://openalex.org/W4286849939","https://openalex.org/W2990905476","https://openalex.org/W3217258686","https://openalex.org/W4383815106","https://openalex.org/W2036697162","https://openalex.org/W4386135338","https://openalex.org/W3158508387","https://openalex.org/W2911825792","https://openalex.org/W2736207500"],"abstract_inverted_index":{"This":[0],"work":[1],"treats":[2],"the":[3,19,31,42,45,47,60,63,66,77,108,124,133],"problem":[4,29],"of":[5,26,33,44,59,62,71,135],"generating":[6],"any":[7],"desired":[8,109],"goal":[9,67,110],"propagator":[10,61,111],"for":[11],"a":[12,73,103,113],"driftless":[13],"quantum":[14,35,38],"system":[15,64,122],"that":[16,54,106,118],"evolves":[17],"on":[18,92,102],"unitary":[20],"group":[21],"U(n).":[22],"The":[23,69,84,98],"physical":[24],"relevance":[25],"such":[27,117],"control":[28,52,85],"is":[30,79,130],"realization":[32],"arbitrary":[34],"gates":[36],"in":[37,76,112],"computers.":[39],"Assuming":[40],"only":[41],"controllability":[43],"system,":[46],"paper":[48],"constructs":[49],"explicit":[50],"stochastic":[51,74,96],"laws":[53,100],"assure":[55],"global":[56],"asymptotic":[57],"convergence":[58],"towards":[65],"propagator.":[68],"purpose":[70],"introducing":[72],"behaviour":[75],"controls":[78,99],"to":[80,144],"speed":[81],"up":[82],"convergence.":[83],"strategy":[86],"can":[87],"be":[88,145],"rigorously":[89],"proved":[90],"based":[91],"Lyapunov":[93],"feedback":[94],"and":[95,116,137],"techniques.":[97],"rely":[101],"reference":[104],"trajectory":[105],"crosses":[107],"time-periodic":[114],"fashion":[115],"its":[119],"corresponding":[120],"linearised":[121],"generates":[123],"Lie":[125],"algebra":[126],"u(n).":[127],"Their":[128],"existence":[129],"ensured":[131],"by":[132],"ReturnMethod":[134],"Coron,":[136],"standard":[138],"Fourier":[139],"series":[140],"results":[141],"allows":[142],"them":[143],"explicitly":[146],"constructed.":[147]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
