{"id":"https://openalex.org/W2090153469","doi":"https://doi.org/10.1080/00207170701294573","title":"Optimal control of multi-level quantum system with energy cost functional","display_name":"Optimal control of multi-level quantum system with energy cost functional","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W2090153469","doi":"https://doi.org/10.1080/00207170701294573","mag":"2090153469"},"language":"en","primary_location":{"id":"doi:10.1080/00207170701294573","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701294573","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-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/A5052945559","display_name":"Biswapratim Roy","orcid":"https://orcid.org/0009-0002-1138-1657"},"institutions":[{"id":"https://openalex.org/I106542073","display_name":"University of Calcutta","ror":"https://ror.org/01e7v7w47","country_code":"IN","type":"education","lineage":["https://openalex.org/I106542073"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. C. Roy","raw_affiliation_strings":["The Institute of Radio Physics and Electronics , Science College, Calcutta University , 92, A. P. C. Road, Kolkata 700009, India"],"affiliations":[{"raw_affiliation_string":"The Institute of Radio Physics and Electronics , Science College, Calcutta University , 92, A. P. C. Road, Kolkata 700009, India","institution_ids":["https://openalex.org/I106542073"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082891306","display_name":"Pradip Das","orcid":"https://orcid.org/0000-0001-6407-8630"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P. K. Das","raw_affiliation_strings":["Physics and Applied Mathematics Unit , Indian Statistical Institute , 203, B. T. Road, Kolkata 700108, India","Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108, India"],"affiliations":[{"raw_affiliation_string":"Physics and Applied Mathematics Unit , Indian Statistical Institute , 203, B. T. Road, Kolkata 700108, India","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082891306"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":null,"apc_paid":null,"fwci":0.4973,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67633234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"80","issue":"8","first_page":"1299","last_page":"1306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.9997000098228455,"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/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.9997000098228455,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.995199978351593,"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":0.9922999739646912,"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/pauli-exclusion-principle","display_name":"Pauli exclusion principle","score":0.7937788367271423},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5874594449996948},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.5459299683570862},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5203903913497925},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5120719075202942},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.4541586637496948},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.44212859869003296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4363614320755005},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.43607014417648315},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39510342478752136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32682302594184875},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3199056088924408},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.18985503911972046}],"concepts":[{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.7937788367271423},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5874594449996948},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.5459299683570862},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5203903913497925},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5120719075202942},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4541586637496948},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44212859869003296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4363614320755005},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.43607014417648315},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39510342478752136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32682302594184875},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3199056088924408},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18985503911972046},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207170701294573","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701294573","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8899999856948853,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W564273710","https://openalex.org/W1484739396","https://openalex.org/W1631356911","https://openalex.org/W2000188322","https://openalex.org/W2036595722","https://openalex.org/W2046391378","https://openalex.org/W2060962965","https://openalex.org/W2068605895","https://openalex.org/W2077253659","https://openalex.org/W2166662778","https://openalex.org/W2611132655","https://openalex.org/W2764347725","https://openalex.org/W3092084332","https://openalex.org/W3155282474","https://openalex.org/W4213416190"],"related_works":["https://openalex.org/W3006983566","https://openalex.org/W2052382920","https://openalex.org/W2024371448","https://openalex.org/W1611230162","https://openalex.org/W2352949123","https://openalex.org/W1994484700","https://openalex.org/W2000929666","https://openalex.org/W1799601513","https://openalex.org/W2091469848","https://openalex.org/W4388843412"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"have":[4,29],"synthesized":[5],"optimal":[6,46],"control":[7,47],"of":[8,18,22,25,42,49,53,56,77,86],"multi-level":[9,35],"quantum":[10,36,54,79],"system":[11,59],"by":[12],"representing":[13],"unitary":[14],"operator":[15],"in":[16,75],"terms":[17,76],"the":[19,23,26,31,43,50,66,78,87],"projection":[20],"operators":[21],"Hamiltonian":[24],"system.":[27,90],"We":[28],"solved":[30],"steering":[32],"problem":[33,48],"for":[34],"systems":[37],"minimizing":[38],"energy":[39,68],"cost":[40],"functional":[41],"control.":[44],"The":[45],"time":[51],"evolution":[52],"spin":[55,80,83],"Pauli":[57,88],"two-level":[58,89],"subjected":[60],"to":[61],"an":[62],"external":[63],"field":[64],"with":[65],"minimum":[67],"function":[69],"is":[70],"also":[71],"illustrated":[72],"and":[73,82],"formulated":[74],"up":[81],"down":[84],"states":[85]},"counts_by_year":[{"year":2015,"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"}
