{"id":"https://openalex.org/W7160516934","doi":"https://doi.org/10.48550/arxiv.2605.04881","title":"From Classical to Quantum-Mechanical Data Assimilation: A Comparison between DATO and QMDA","display_name":"From Classical to Quantum-Mechanical Data Assimilation: A Comparison between DATO and QMDA","publication_year":2026,"publication_date":"2026-05-06","ids":{"openalex":"https://openalex.org/W7160516934","doi":"https://doi.org/10.48550/arxiv.2605.04881"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.04881","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04881","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.04881","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135617351","display_name":"Emanuele Donno","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Donno, Emanuele","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135630310","display_name":"Giovanni Conti","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Conti, Giovanni","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023661837","display_name":"Paolo Oddo","orcid":"https://orcid.org/0000-0003-4451-3898"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oddo, Paolo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035273096","display_name":"Silvio Gualdi","orcid":"https://orcid.org/0000-0001-7777-8935"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gualdi, Silvio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006930217","display_name":"Luca Mainetti","orcid":"https://orcid.org/0000-0001-9387-9277"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mainetti, Luca","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068232148","display_name":"Giovanni Aloisio","orcid":"https://orcid.org/0000-0001-5902-6983"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aloisio, Giovanni","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.41449999809265137,"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":0.41449999809265137,"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/T11804","display_name":"Quantum many-body systems","score":0.0478999987244606,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.0364999994635582,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.7196000218391418},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6377000212669373},{"id":"https://openalex.org/keywords/assimilation","display_name":"Assimilation (phonology)","score":0.614799976348877},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.47749999165534973},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.3993000090122223},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.34689998626708984},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.3314000070095062}],"concepts":[{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.7196000218391418},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6377000212669373},{"id":"https://openalex.org/C75649859","wikidata":"https://www.wikidata.org/wiki/Q148877","display_name":"Assimilation (phonology)","level":2,"score":0.614799976348877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5932999849319458},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.47749999165534973},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3993000090122223},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.39899998903274536},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.34689998626708984},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3458000123500824},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33820000290870667},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33489999175071716},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3246000111103058},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.2858999967575073},{"id":"https://openalex.org/C23131810","wikidata":"https://www.wikidata.org/wiki/Q818574","display_name":"Observational study","level":2,"score":0.27459999918937683},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.04881","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04881","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.04881","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04881","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Data":[0,32,41],"assimilation":[1,81,145],"provides":[2],"a":[3,21,28,60,71,118],"systematic":[4],"framework":[5,170],"for":[6,184],"combining":[7],"dynamical":[8,115],"models":[9],"with":[10,34,91],"partial":[11],"and":[12,38,51,80,89,101,126,140,151,158,174],"noisy":[13],"observations":[14],"to":[15,68,93,148],"infer":[16],"the":[17,106,165,179],"evolving":[18],"state":[19],"of":[20,31,76,120,155,181],"system.":[22],"In":[23],"this":[24],"work,":[25],"we":[26,109],"undertake":[27],"comparative":[29],"study":[30,162],"Assimilation":[33,42],"Transfer":[35],"Operators":[36],"(DATO)":[37],"Quantum":[39],"Mechanical":[40],"(QMDA),":[43],"focusing":[44],"on":[45,70,113],"their":[46,74,86,135],"mathematical":[47],"formulation,":[48],"algorithmic":[49],"structure,":[50,95],"empirical":[52],"performance.":[53],"Both":[54],"methods":[55],"are":[56],"first":[57],"cast":[58],"within":[59],"common":[61],"operator-theoretic":[62,137],"framework,":[63],"which":[64,168],"makes":[65],"it":[66],"possible":[67],"compare,":[69],"unified":[72],"basis,":[73],"representations":[75],"uncertainty,":[77],"forecast":[78],"propagation,":[79],"updates.":[82],"We":[83],"then":[84],"analyse":[85],"principal":[87],"similarities":[88],"differences":[90],"respect":[92],"state-space":[94],"update":[96],"mechanisms,":[97],"structural":[98],"preservation":[99],"properties,":[100],"computational":[102],"cost.":[103],"To":[104],"complement":[105],"theoretical":[107],"analysis,":[108],"assess":[110],"both":[111],"approaches":[112],"benchmark":[114],"systems":[116],"across":[117],"range":[119],"observational":[121],"settings,":[122],"including":[123],"noisy,":[124],"sparse,":[125],"partially":[127],"observed":[128],"regimes.":[129],"Our":[130],"results":[131],"show":[132],"that,":[133],"despite":[134],"shared":[136],"motivation,":[138],"DATO":[139],"QMDA":[141],"embody":[142],"substantially":[143],"different":[144],"paradigms,":[146],"leading":[147],"distinct":[149],"advantages":[150],"limitations":[152],"in":[153,167],"terms":[154],"interpretability,":[156],"robustness,":[157],"scalability.":[159],"The":[160],"present":[161],"helps":[163],"delineate":[164],"regimes":[166],"each":[169],"is":[171],"most":[172],"effective":[173],"offers":[175],"broader":[176],"insight":[177],"into":[178],"design":[180],"operator-based":[182],"methodologies":[183],"data":[185],"assimilation.":[186]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-08T00:00:00"}