{"id":"https://openalex.org/W4387914295","doi":"https://doi.org/10.1109/codit58514.2023.10284049","title":"An Application of Pontryagin Neural Networks to Solve Optimal Quantum Control Problems","display_name":"An Application of Pontryagin Neural Networks to Solve Optimal Quantum Control Problems","publication_year":2023,"publication_date":"2023-07-03","ids":{"openalex":"https://openalex.org/W4387914295","doi":"https://doi.org/10.1109/codit58514.2023.10284049"},"language":"en","primary_location":{"id":"doi:10.1109/codit58514.2023.10284049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit58514.2023.10284049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 9th International Conference on Control, Decision and Information Technologies (CoDIT)","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/A5041894093","display_name":"Nahid Binandeh Dehaghani","orcid":"https://orcid.org/0000-0002-0370-7744"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4210166615","display_name":"INESC TEC","ror":"https://ror.org/05fa8ka61","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210125590","https://openalex.org/I4210166615"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Nahid Binandeh Dehaghani","raw_affiliation_strings":["University of Porto,FEUP - Faculty of Engineering, Research Center for Systems and Technologies (SYSTEC),Electrical and Computer Engineering Department,Porto,Portugal,4200-465"],"affiliations":[{"raw_affiliation_string":"University of Porto,FEUP - Faculty of Engineering, Research Center for Systems and Technologies (SYSTEC),Electrical and Computer Engineering Department,Porto,Portugal,4200-465","institution_ids":["https://openalex.org/I4210166615","https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069883451","display_name":"A. Pedro Aguiar","orcid":"https://orcid.org/0000-0001-7105-0505"},"institutions":[{"id":"https://openalex.org/I4210166615","display_name":"INESC TEC","ror":"https://ror.org/05fa8ka61","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210125590","https://openalex.org/I4210166615"]},{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A. Pedro Aguiar","raw_affiliation_strings":["University of Porto,FEUP - Faculty of Engineering, Research Center for Systems and Technologies (SYSTEC),Electrical and Computer Engineering Department,Porto,Portugal,4200-465"],"affiliations":[{"raw_affiliation_string":"University of Porto,FEUP - Faculty of Engineering, Research Center for Systems and Technologies (SYSTEC),Electrical and Computer Engineering Department,Porto,Portugal,4200-465","institution_ids":["https://openalex.org/I4210166615","https://openalex.org/I182534213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041894093"],"corresponding_institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4210166615"],"apc_list":null,"apc_paid":null,"fwci":0.5002,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61666334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"202","last_page":"207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9711999893188477,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9711999893188477,"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/T10597","display_name":"Nuclear reactor physics and engineering","score":0.96670001745224,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9559000134468079,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.8471193313598633},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6826107501983643},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5841071605682373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5526351928710938},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5437943935394287},{"id":"https://openalex.org/keywords/quantum-control","display_name":"Quantum control","score":0.5218000411987305},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4990353584289551},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41492384672164917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34972208738327026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.310977965593338},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25852447748184204},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1692897081375122},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14002841711044312}],"concepts":[{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.8471193313598633},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6826107501983643},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5841071605682373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5526351928710938},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5437943935394287},{"id":"https://openalex.org/C2984281365","wikidata":"https://www.wikidata.org/wiki/Q906781","display_name":"Quantum control","level":3,"score":0.5218000411987305},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4990353584289551},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41492384672164917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34972208738327026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.310977965593338},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25852447748184204},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1692897081375122},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14002841711044312}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/codit58514.2023.10284049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit58514.2023.10284049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 9th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8700000047683716,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1723930440","display_name":null,"funder_award_id":"2021.07608.BD,UIDB/00147/2020,UIDP/00147/2020,LA/P/0112/2020,PTDC/EEI-AUT/3522/2020","funder_id":"https://openalex.org/F4320323642","funder_display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior"}],"funders":[{"id":"https://openalex.org/F4320323642","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior","ror":"https://ror.org/045b9pr88"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1971064885","https://openalex.org/W2111072639","https://openalex.org/W2138733959","https://openalex.org/W2147625890","https://openalex.org/W2809522182","https://openalex.org/W2895860665","https://openalex.org/W2899283552","https://openalex.org/W2999191516","https://openalex.org/W3102270033","https://openalex.org/W3102287617","https://openalex.org/W3157083971","https://openalex.org/W4205416474","https://openalex.org/W4251770864","https://openalex.org/W4282934709","https://openalex.org/W4287180848","https://openalex.org/W4293239655","https://openalex.org/W4296439342","https://openalex.org/W4313728013","https://openalex.org/W6838233788"],"related_works":["https://openalex.org/W2962746246","https://openalex.org/W1967384683","https://openalex.org/W4292923857","https://openalex.org/W4285534277","https://openalex.org/W162218241","https://openalex.org/W3031081244","https://openalex.org/W4302321938","https://openalex.org/W3209004265","https://openalex.org/W4293239655","https://openalex.org/W2592232225"],"abstract_inverted_index":{"Reliable":[0],"high-fidelity":[1],"quantum":[2,14,70,170],"state":[3,163,167],"transformation":[4],"has":[5,26],"always":[6],"been":[7],"considered":[8],"as":[9],"an":[10,30,39],"inseparable":[11],"part":[12],"of":[13,87,108,141,178],"information":[15],"processing.":[16],"In":[17],"this":[18,48,128],"regard,":[19],"Pontryagin":[20],"Minimum":[21],"(or":[22],"maximum)":[23],"Principle":[24],"(PMP)":[25],"proved":[27],"to":[28,33,61,68,98,116,152,164],"play":[29],"important":[31],"role":[32],"achieve":[34],"the":[35,73,79,85,118,123,134,148,154,179,186],"maximum":[36],"fidelity":[37],"in":[38,47,90,96,183],"optimum":[40],"time":[41,63],"or":[42],"energy.":[43],"Motivated":[44],"by":[45,136,168],"this,":[46],"work,":[49],"we":[50,59,103],"formulate":[51],"a":[52,69,91,105,139,160,165,169],"control":[53,56,150],"constrained":[54],"optimal":[55,149],"problem":[57],"where":[58],"aim":[60],"minimize":[62],"and":[64,156,185],"also":[65],"energy":[66],"subjected":[67],"system":[71],"satisfying":[72],"bilinear":[74],"Schr\u00f6dinger":[75],"equation.":[76],"We":[77,125,175],"derive":[78],"first":[80,137],"order":[81,97],"optimality":[82],"conditions":[83],"through":[84],"application":[86],"PMP":[88],"resulting":[89],"boundary":[92],"value":[93],"problem.":[94],"Next,":[95],"obtain":[99],"efficient":[100],"numerical":[101],"results,":[102],"exploit":[104],"particular":[106],"family":[107],"physics-informed":[109],"neural":[110],"networks":[111],"that":[112,127],"are":[113],"specifically":[114],"designed":[115],"tackle":[117],"indirect":[119],"method":[120,129],"based":[121],"on":[122],"PMP.":[124],"show":[126],"can":[130],"significantly":[131],"speed":[132],"up":[133],"process":[135],"obtaining":[138],"set":[140],"relations":[142],"which":[143],"finally":[144],"let":[145],"us":[146],"compute":[147],"strategy":[151],"determine":[153],"time-":[155],"energy-optimal":[157],"protocol":[158],"driving":[159],"general":[161],"initial":[162],"target":[166],"Hamiltonian":[171],"with":[172],"bounded":[173],"control.":[174],"make":[176],"use":[177],"so-called":[180],"\u201cqutip\u201d":[181],"package":[182],"python,":[184],"newly":[187],"developed":[188],"\u201ctfc\u201d":[189],"python":[190],"package.":[191]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}