{"id":"https://openalex.org/W637444432","doi":"https://doi.org/10.1137/130949816","title":"Exact Algebraic Conditions for Indirect Controllability of Quantum Systems","display_name":"Exact Algebraic Conditions for Indirect Controllability of Quantum Systems","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W637444432","doi":"https://doi.org/10.1137/130949816","mag":"637444432"},"language":"en","primary_location":{"id":"doi:10.1137/130949816","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130949816","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11577/3187773","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008152552","display_name":"Domenico D\u2019Alessandro","orcid":"https://orcid.org/0000-0003-0179-7157"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Domenico D'Alessandro","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, Iowa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, Iowa","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042084730","display_name":"Francesca Albertini","orcid":"https://orcid.org/0000-0003-2168-9997"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesca Albertini","raw_affiliation_strings":["Dipartimento di Matematica, Universita' di Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universita' di Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085614920","display_name":"Raffaele Romano","orcid":"https://orcid.org/0000-0001-7555-0486"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raffaele Romano","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, Iowa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, Iowa","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008152552"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":null,"apc_paid":null,"fwci":0.4396,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.64701721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"53","issue":"3","first_page":"1509","last_page":"1542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9984999895095825,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9984999895095825,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9797999858856201,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9750999808311462,"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/controllability","display_name":"Controllability","score":0.9386544227600098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7615194320678711},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.6646143198013306},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.6322542428970337},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6119140982627869},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5623900890350342},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5319899320602417},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5229502320289612},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47057244181632996},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35122501850128174},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3299875259399414},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2521136999130249},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.20447617769241333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1839779019355774},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16868063807487488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10872018337249756},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0942888855934143},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08142530918121338}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9386544227600098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7615194320678711},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.6646143198013306},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.6322542428970337},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6119140982627869},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5623900890350342},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5319899320602417},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5229502320289612},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47057244181632996},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35122501850128174},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3299875259399414},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2521136999130249},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20447617769241333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1839779019355774},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16868063807487488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10872018337249756},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0942888855934143},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08142530918121338},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130949816","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130949816","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3187773","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3187773","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.research.unipd.it:11577/3187773","is_oa":true,"landing_page_url":"http://hdl.handle.net/11577/3187773","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1500256440","https://openalex.org/W1565930783","https://openalex.org/W1578322733","https://openalex.org/W1631356911","https://openalex.org/W1965195879","https://openalex.org/W1973499051","https://openalex.org/W1975763267","https://openalex.org/W1983894121","https://openalex.org/W1992651606","https://openalex.org/W1992802226","https://openalex.org/W1995362788","https://openalex.org/W2009315184","https://openalex.org/W2015775746","https://openalex.org/W2015775929","https://openalex.org/W2049523897","https://openalex.org/W2057285417","https://openalex.org/W2082468028","https://openalex.org/W2099332956","https://openalex.org/W2109193903","https://openalex.org/W2109880163","https://openalex.org/W2126134919","https://openalex.org/W2147493617","https://openalex.org/W2244749167","https://openalex.org/W2501142942","https://openalex.org/W3101243334","https://openalex.org/W4254830816"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2050576042","https://openalex.org/W2595622705","https://openalex.org/W1990131059","https://openalex.org/W1568902373","https://openalex.org/W2015251325","https://openalex.org/W2951959148","https://openalex.org/W4302790341","https://openalex.org/W637444432","https://openalex.org/W2120961567"],"abstract_inverted_index":{"In":[0,95],"several":[1],"quantum":[2,7],"control":[3,22],"schemes,":[4],"a":[5,138,219],"target":[6],"system":[8,17,29,40,83,93,110,175,192,230,253],"$S$":[9,30,41,59,67,163,231],"is":[10,31,42,106,112,118,124,153,164,177,197,214,238,255],"put":[11],"in":[12,216],"contact":[13],"with":[14,37,60],"an":[15],"auxiliary":[16,92,109,252],"$A$":[18,111,122,254],"and":[19,85,129,167,241,246],"the":[20,35,56,71,78,81,87,91,108,134,173,188,191,226,229,247,251],"coherent":[21],"can":[23,52],"directly":[24],"affect":[25],"only":[26,168,242],"$A$.":[27,38,94],"The":[28,39,63,207],"controlled":[32],"indirectly":[33,46],"through":[34],"interaction":[36],"said":[43],"to":[44,127,144,158,199,212],"be":[45,53,145],"controllable":[47],"if":[48,151,166,169,240,243],"every":[49],"unitary":[50],"transformation":[51],"performed":[54],"on":[55,70,86],"state":[57,89,249],"of":[58,66,80,90,121,136,162,172,190,218,228,250],"this":[61,96,100],"scheme.":[62],"indirect":[64,160,201,236],"controllability":[65,161,171,202,237],"will":[68],"depend":[69],"dynamical":[72],"Lie":[73,220],"algebra":[74,221],"${\\cal":[75,180,183,222,244],"L}$":[76],"characterizing":[77],"dynamics":[79],"total":[82,174],"$S+A$":[84,176],"initial":[88,248],"paper,":[97],"we":[98,130,142],"describe":[99],"characterization":[101],"exactly.":[102],"A":[103],"natural":[104],"assumption":[105],"that":[107,116,123,150,211,235],"minimal,":[113],"which":[114,141,224],"means":[115],"there":[117],"no":[119],"part":[120],"not":[125],"coupled":[126],"$S$,":[128],"denote":[131],"by":[132],"$n_A$":[133,152],"dimension":[135,189],"such":[137],"minimal":[139],"$A$,":[140],"assume":[143],"fully":[146],"controllable.":[147],"We":[148,233],"show":[149],"greater":[154],"than":[155],"or":[156,182],"equal":[157],"$3$,":[159],"verified":[165,239],"complete":[170,205],"verified,":[178],"i.e.,":[179],"L}=su(n_Sn_A)$":[181],"L}=u(n_Sn_A)$,":[184],"where":[185],"$n_S$":[186],"denotes":[187],"$S$.":[193],"If":[194],"$n_A=2$,":[195],"it":[196],"possible":[198],"have":[200],"without":[203],"having":[204],"controllability.":[206],"exact":[208],"condition":[209],"for":[210],"happen":[213],"given":[215],"terms":[217],"L}_S$":[223],"describes":[225],"evolution":[227],"only.":[232],"prove":[234],"L}_S=u(n_S)$":[245],"pure.":[256]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
