{"id":"https://openalex.org/W7134807992","doi":"https://doi.org/10.48550/arxiv.2603.07778","title":"Lindbladian Learning with Neural Differential Equations","display_name":"Lindbladian Learning with Neural Differential Equations","publication_year":2026,"publication_date":"2026-03-08","ids":{"openalex":"https://openalex.org/W7134807992","doi":"https://doi.org/10.48550/arxiv.2603.07778"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2603.07778","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128646156","display_name":"Timothy Heightman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Heightman, Timothy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128685904","display_name":"Roman Aseguinolaza Gallo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gallo, Roman Aseguinolaza","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128654853","display_name":"Edward Jiang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiang, Edward","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128660920","display_name":"JRM Saavedra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saavedra, JRM","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128630369","display_name":"Antonio Ac\u00edn","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ac\u00edn, Antonio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067597523","display_name":"Marcin P\u0142odzie\u0144","orcid":"https://orcid.org/0000-0002-0835-1644"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P\u0142odzie\u0144, Marcin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"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/T11804","display_name":"Quantum many-body systems","score":0.9395999908447266,"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":0.9395999908447266,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.021400000900030136,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.013299999758601189,"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/dissipative-system","display_name":"Dissipative system","score":0.6305999755859375},{"id":"https://openalex.org/keywords/pauli-exclusion-principle","display_name":"Pauli exclusion principle","score":0.5220999717712402},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.51910001039505},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4749999940395355},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4401000142097473},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4377000033855438},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.43380001187324524},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3698999881744385}],"concepts":[{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6305999755859375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5442000031471252},{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.5220999717712402},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.51910001039505},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4749999940395355},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4401000142097473},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4377000033855438},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.43380001187324524},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43320000171661377},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42559999227523804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40310001373291016},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.36970001459121704},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3695000112056732},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.3345000147819519},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3278999924659729},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.3199000060558319},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.31040000915527344},{"id":"https://openalex.org/C201665358","wikidata":"https://www.wikidata.org/wiki/Q899196","display_name":"Heisenberg model","level":3,"score":0.305400013923645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30059999227523804},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.2994000017642975},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2623000144958496},{"id":"https://openalex.org/C2986949344","wikidata":"https://www.wikidata.org/wiki/Q9404","display_name":"Neural system","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2603.07778","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2603.07778","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.07778","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2603.07778","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Inferring":[0],"the":[1,15,24,35,81,90,97,132,143],"dynamical":[2],"generator":[3],"of":[4,20,66,85,171],"a":[5,139],"many-body":[6],"quantum":[7,21],"system":[8,25,174],"from":[9],"measurement":[10,47],"data":[11,51],"is":[12,26,104],"essential":[13],"for":[14],"verification,":[16],"calibration,":[17],"and":[18,41,49,126,135,154,173],"control":[19],"processors.":[22],"When":[23],"open,":[27],"this":[28,61],"task":[29],"becomes":[30],"considerably":[31],"harder":[32],"than":[33,182],"in":[34],"purely":[36],"unitary":[37],"case,":[38],"because":[39],"coherent":[40,56],"dissipative":[42,144,163],"mechanisms":[43],"can":[44,52,159],"produce":[45],"similar":[46],"statistics":[48],"long-time":[50],"be":[53],"insensitive":[54],"to":[55,109,177],"couplings.":[57],"Here":[58],"we":[59,95,146],"tackle":[60],"so-called":[62],"Lindbladian":[63,113],"learning":[64],"problem":[65],"open-system":[67,119],"characterisation":[68],"with":[69,180],"maximum-likelihood":[70],"on":[71,138],"Pauli":[72],"measurements":[73],"at":[74],"multiple":[75],"experimentally":[76],"friendly":[77],"\\emph{transient}":[78],"times,":[79],"exploiting":[80],"richer":[82],"information":[83],"content":[84],"transient":[86],"dynamics.":[87],"To":[88],"navigate":[89],"resulting":[91],"non-convex":[92],"likelihood":[93],"loss-landscape,":[94],"augment":[96],"physical":[98],"model":[99],"neural":[100],"differential-equation":[101],"term,":[102],"which":[103],"progressively":[105],"removed":[106],"during":[107],"training":[108],"distil":[110],"an":[111],"interpretable":[112],"solution.":[114],"Our":[115,157],"method":[116],"reliably":[117],"learns":[118],"dynamics":[120],"across":[121],"neutral-atom":[122],"(with":[123],"2D":[124],"connectivity)":[125],"superconducting":[127],"Hamiltonians,":[128],"as":[129,131],"well":[130],"Heisenberg":[133],"XYZ,":[134],"PXP":[136],"models":[137],"spin-1/2":[140],"chain.":[141],"For":[142],"part,":[145],"show":[147],"robustness":[148],"over":[149,165],"phase":[150],"noise,":[151,153],"thermal":[152],"their":[155],"combination.":[156],"algorithm":[158],"robustly":[160],"infer":[161],"these":[162],"systems":[164],"noise-to-signal":[166],"ratios":[167],"spanning":[168],"four":[169],"orders":[170],"magnitude,":[172],"sizes":[175],"up":[176],"$N=6$":[178],"qubits":[179],"fewer":[181],"$5":[183],"\\times":[184],"10^5$":[185],"shots.":[186]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-11T00:00:00"}
