{"id":"https://openalex.org/W3012036957","doi":"https://doi.org/10.1109/cdc40024.2019.9029317","title":"Quantum control in infinite dimensions and Banach-Lie algebras","display_name":"Quantum control in infinite dimensions and Banach-Lie algebras","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3012036957","doi":"https://doi.org/10.1109/cdc40024.2019.9029317","mag":"3012036957"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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/A5025744808","display_name":"Michael Keyl","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Keyl","raw_affiliation_strings":["Dahlem Centre for Complex Quantum Systems, Free University of Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Dahlem Centre for Complex Quantum Systems, Free University of Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025744808"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":null,"apc_paid":null,"fwci":0.2896,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56985237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"41","issue":null,"first_page":"2298","last_page":"2303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9909999966621399,"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":0.9909999966621399,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9887999892234802,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5743441581726074},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5406325459480286},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5260263085365295},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.4888167083263397},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4566227197647095},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4521210789680481},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4402015805244446},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.43878990411758423},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.4270181953907013},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42564627528190613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40603625774383545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40095025300979614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2073729932308197},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1497301459312439},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.14796695113182068}],"concepts":[{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5743441581726074},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5406325459480286},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5260263085365295},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.4888167083263397},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4566227197647095},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4521210789680481},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4402015805244446},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.43878990411758423},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.4270181953907013},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42564627528190613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40603625774383545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40095025300979614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2073729932308197},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1497301459312439},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.14796695113182068},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1492113654","https://openalex.org/W1529667933","https://openalex.org/W1549564487","https://openalex.org/W1560268111","https://openalex.org/W1586981851","https://openalex.org/W1617450584","https://openalex.org/W1894491172","https://openalex.org/W1981252466","https://openalex.org/W1985818806","https://openalex.org/W1990579673","https://openalex.org/W1992651606","https://openalex.org/W2000761478","https://openalex.org/W2009886090","https://openalex.org/W2014947610","https://openalex.org/W2033102642","https://openalex.org/W2033888548","https://openalex.org/W2034341092","https://openalex.org/W2041277461","https://openalex.org/W2043300475","https://openalex.org/W2046758456","https://openalex.org/W2057285417","https://openalex.org/W2070267857","https://openalex.org/W2071150220","https://openalex.org/W2091395036","https://openalex.org/W2100021086","https://openalex.org/W2103024360","https://openalex.org/W2108982357","https://openalex.org/W2123046091","https://openalex.org/W2129842989","https://openalex.org/W2155131845","https://openalex.org/W2155716436","https://openalex.org/W2158618715","https://openalex.org/W2158876405","https://openalex.org/W2163429555","https://openalex.org/W2289356651","https://openalex.org/W2724616280","https://openalex.org/W2776475034","https://openalex.org/W2963588687","https://openalex.org/W3100923705","https://openalex.org/W3101243334","https://openalex.org/W3103813575","https://openalex.org/W3104095923","https://openalex.org/W3104398312","https://openalex.org/W4214579352","https://openalex.org/W4289105355","https://openalex.org/W4289243703","https://openalex.org/W4300813846","https://openalex.org/W6631775898","https://openalex.org/W6746989636","https://openalex.org/W6756375825","https://openalex.org/W6757367376"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2411113819","https://openalex.org/W2072887367","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2963288691","https://openalex.org/W4298401637","https://openalex.org/W2940979654"],"abstract_inverted_index":{"In":[0,39],"finite":[1],"dimensions,":[2],"controllability":[3,136],"of":[4,16,37,112,129,137],"bilinear":[5],"quantum":[6],"control":[7,59,81,139],"systems":[8,27,60],"can":[9,47],"be":[10,32,48],"decided":[11],"quite":[12],"easily":[13],"in":[14,131,141],"terms":[15],"the":[17,26,110,138],"\"Lie":[18],"algebra":[19,29],"rank":[20],"condition\"":[21],"(LARC),":[22],"such":[23],"that":[24],"only":[25],"Lie":[28],"has":[30],"to":[31,50,100,117,124,133],"determined":[33],"from":[34],"a":[35,119],"set":[36],"generators.":[38],"this":[40,45,54],"paper":[41],"we":[42,56],"study":[43],"how":[44],"idea":[46],"lifted":[49],"infinite":[51,63],"dimensions.":[52],"To":[53],"end":[55],"look":[57],"at":[58],"on":[61],"an":[62,71,126],"dimensional":[64],"Hilbert":[65],"space":[66],"which":[67,121],"are":[68],"given":[69],"by":[70],"unbounded":[72],"drift":[73,93],"Hamiltonian":[74],"H":[75,83,94],"<sub":[76,84,88,95],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[77,85,89,96],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[78,97],"and":[79,109],"bounded":[80],"Hamiltonians":[82],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[86],",...,H":[87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sub>":[90],".":[91],"The":[92],"is":[98],"assumed":[99],"have":[101],"empty":[102],"continuous":[103],"spectrum.":[104],"We":[105],"use":[106,125],"recurrence":[107],"methods":[108],"theory":[111],"Abelian":[113],"von":[114],"Neumann":[115],"algebras":[116],"develop":[118],"scheme,":[120],"allows":[122],"us":[123],"approximate":[127,135],"version":[128],"LARC,":[130],"order":[132],"check":[134],"sysPtem":[140],"question.":[142]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
