{"id":"https://openalex.org/W3157956839","doi":"https://doi.org/10.22331/q-2022-05-17-714","title":"Deep Learning of Quantum Many-Body Dynamics via Random Driving","display_name":"Deep Learning of Quantum Many-Body Dynamics via Random Driving","publication_year":2022,"publication_date":"2022-05-17","ids":{"openalex":"https://openalex.org/W3157956839","doi":"https://doi.org/10.22331/q-2022-05-17-714","mag":"3157956839"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-05-17-714","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-05-17-714","pdf_url":"https://quantum-journal.org/papers/q-2022-05-17-714/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-05-17-714/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082239974","display_name":"Naeimeh Mohseni","orcid":"https://orcid.org/0000-0003-3373-4572"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Naeimeh Mohseni","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","Physics Department, University of Erlangen-Nuremberg, Staudtstr. 5, 91058 Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]},{"raw_affiliation_string":"Physics Department, University of Erlangen-Nuremberg, Staudtstr. 5, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113161936","display_name":"Thomas F\u00f6sel","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas F\u00f6sel","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","Physics Department, University of Erlangen-Nuremberg, Staudtstr. 5, 91058 Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]},{"raw_affiliation_string":"Physics Department, University of Erlangen-Nuremberg, Staudtstr. 5, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000935789","display_name":"Lingzhen Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lingzhen Guo","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007141643","display_name":"Carlos Navarrete\u2013Benlloch","orcid":"https://orcid.org/0000-0002-1709-0052"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["CN","DE"],"is_corresponding":false,"raw_author_name":"Carlos Navarrete-Benlloch","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","Shanghai Research Center for Quantum Sciences, Shanghai 201315, China","Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]},{"raw_affiliation_string":"Shanghai Research Center for Quantum Sciences, Shanghai 201315, China","institution_ids":[]},{"raw_affiliation_string":"Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059746672","display_name":"Florian Marquardt","orcid":"https://orcid.org/0000-0003-4566-1753"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I4210110240","display_name":"Max Planck Institute for the Science of Light","ror":"https://ror.org/020as7681","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210110240"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Marquardt","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","Physics Department, University of Erlangen-Nuremberg, Staudtstr. 5, 91058 Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr die Physik des Lichts, Staudtstrasse 2, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I4210110240"]},{"raw_affiliation_string":"Physics Department, University of Erlangen-Nuremberg, Staudtstr. 5, 91058 Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.9046,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.91141636,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"714","last_page":"714"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9998000264167786,"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/T11804","display_name":"Quantum many-body systems","score":0.9998000264167786,"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/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.9993000030517578,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.8004368543624878},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6284319162368774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6265542507171631},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5677772164344788},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.5518072247505188},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5145401358604431},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.49052733182907104},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.48404282331466675},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.4750770926475525},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4640205502510071},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44326362013816833},{"id":"https://openalex.org/keywords/spin","display_name":"Spin (aerodynamics)","score":0.43342214822769165},{"id":"https://openalex.org/keywords/spin-network","display_name":"Spin network","score":0.4280286431312561},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4189285933971405},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.4138833284378052},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29970812797546387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22899699211120605},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18926501274108887}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.8004368543624878},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6284319162368774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6265542507171631},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5677772164344788},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5518072247505188},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5145401358604431},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.49052733182907104},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.48404282331466675},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.4750770926475525},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4640205502510071},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44326362013816833},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.43342214822769165},{"id":"https://openalex.org/C68562976","wikidata":"https://www.wikidata.org/wiki/Q654081","display_name":"Spin network","level":5,"score":0.4280286431312561},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4189285933971405},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.4138833284378052},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29970812797546387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22899699211120605},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18926501274108887},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C58801389","wikidata":"https://www.wikidata.org/wiki/Q739962","display_name":"Loop quantum gravity","level":4,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-05-17-714","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-05-17-714","pdf_url":"https://quantum-journal.org/papers/q-2022-05-17-714/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2105.00352","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.00352","pdf_url":"https://arxiv.org/pdf/2105.00352","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:11dc7b9df3fa4854bd92d2fab99306ff","is_oa":true,"landing_page_url":"https://doaj.org/article/11dc7b9df3fa4854bd92d2fab99306ff","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 6, p 714 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-05-17-714","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-05-17-714","pdf_url":"https://quantum-journal.org/papers/q-2022-05-17-714/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3157956839.pdf","grobid_xml":"https://content.openalex.org/works/W3157956839.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W1566049037","https://openalex.org/W1720070971","https://openalex.org/W1974623591","https://openalex.org/W1977733098","https://openalex.org/W1999404512","https://openalex.org/W2003464774","https://openalex.org/W2017293193","https://openalex.org/W2028190807","https://openalex.org/W2033368244","https://openalex.org/W2035024533","https://openalex.org/W2042827511","https://openalex.org/W2053987271","https://openalex.org/W2064675550","https://openalex.org/W2069285834","https://openalex.org/W2082571549","https://openalex.org/W2105603648","https://openalex.org/W2125875368","https://openalex.org/W2130942839","https://openalex.org/W2143612262","https://openalex.org/W2337082154","https://openalex.org/W2394549188","https://openalex.org/W2414456771","https://openalex.org/W2419175238","https://openalex.org/W2466426585","https://openalex.org/W2531147647","https://openalex.org/W2533940598","https://openalex.org/W2557283755","https://openalex.org/W2580506952","https://openalex.org/W2594041373","https://openalex.org/W2624637765","https://openalex.org/W2762549329","https://openalex.org/W2765597272","https://openalex.org/W2786295636","https://openalex.org/W2789327225","https://openalex.org/W2888578743","https://openalex.org/W2896556344","https://openalex.org/W2902080782","https://openalex.org/W2919115771","https://openalex.org/W2945223993","https://openalex.org/W2958012537","https://openalex.org/W2965720422","https://openalex.org/W2994355427","https://openalex.org/W2995786632","https://openalex.org/W3050945359","https://openalex.org/W3087527598","https://openalex.org/W3099640881","https://openalex.org/W3099690799","https://openalex.org/W3101214870","https://openalex.org/W3101298748","https://openalex.org/W3102180547","https://openalex.org/W3104481216","https://openalex.org/W3105534620","https://openalex.org/W3106073154","https://openalex.org/W3168735145","https://openalex.org/W3193037426","https://openalex.org/W4205136712","https://openalex.org/W4230053572","https://openalex.org/W4309182862","https://openalex.org/W6947760228"],"related_works":["https://openalex.org/W3103610490","https://openalex.org/W1984391726","https://openalex.org/W2025643442","https://openalex.org/W3103734247","https://openalex.org/W2036241378","https://openalex.org/W72711369","https://openalex.org/W1982141981","https://openalex.org/W4310419547","https://openalex.org/W4389555521","https://openalex.org/W2025548804"],"abstract_inverted_index":{"Neural":[0],"networks":[1],"have":[2],"emerged":[3],"as":[4,177,179],"a":[5,31,75,124,139],"powerful":[6],"way":[7],"to":[8,26,60,114,118,163,167,180],"approach":[9,113],"many":[10],"practical":[11],"problems":[12],"in":[13],"quantum":[14,32,108,125],"physics.":[15],"In":[16],"this":[17],"work,":[18],"we":[19,80,157],"illustrate":[20],"the":[21,28,36,82,96,106,143,159,165,181],"power":[22],"of":[23,30,49,77,98,100,142],"deep":[24],"learning":[25],"predict":[27],"dynamics":[29,97,166],"many-body":[33,126],"system,":[34],"where":[35],"training":[37],"is":[38,58,161],"<mml:math":[39],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[40],"class=\"MJX-TeXAtom-ORD\"><mml:mtext":[41],"class=\"MJX-tex-mathit\"":[42],"mathvariant=\"italic\">based":[43],"purely":[44],"on":[45,84],"monitoring":[46],"expectation":[47],"values":[48],"observables":[50,99],"under":[51],"random":[52],"driving</mml:mtext></mml:mrow></mml:math>.":[53],"The":[54],"trained":[55,175],"recurrent":[56],"network":[57,83,160],"able":[59,162],"produce":[61],"accurate":[62],"predictions":[63],"for":[64,138,150],"driving":[65],"trajectories":[66],"entirely":[67],"different":[68],"than":[69,170],"those":[70,171],"observed":[71],"during":[72],"training.":[73],"As":[74],"proof":[76],"principle,":[78],"here":[79],"train":[81],"numerical":[85],"data":[86,121],"generated":[87,122],"from":[88,123],"spin":[89],"models,":[90],"showing":[91],"that":[92,128],"it":[93,172],"can":[94],"learn":[95],"interest":[101],"without":[102,135],"needing":[103],"information":[104],"about":[105],"full":[107],"state.":[109],"This":[110,145],"allows":[111],"our":[112],"be":[115,130],"applied":[116],"eventually":[117],"actual":[119],"experimental":[120],"system":[127],"might":[129],"open,":[131],"noisy,":[132],"or":[133],"disordered,":[134],"any":[136],"need":[137],"detailed":[140],"understanding":[141],"system.":[144],"scheme":[146],"provides":[147],"considerable":[148],"speedup":[149],"rapid":[151],"explorations":[152],"and":[153],"pulse":[154],"optimization.":[155],"Remarkably,":[156],"show":[158],"extrapolate":[164],"times":[168],"longer":[169],"has":[173],"been":[174],"on,":[176],"well":[178],"infinite-system-size":[182],"limit.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
