{"id":"https://openalex.org/W7220656346","doi":"https://doi.org/10.48550/arxiv.2610.05647","title":"Transformer-Based Time-Series Inference of Lindblad Dynamics in Open Quantum Systems","display_name":"Transformer-Based Time-Series Inference of Lindblad Dynamics in Open Quantum Systems","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220656346","doi":"https://doi.org/10.48550/arxiv.2610.05647"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.05647","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05647","pdf_url":"https://arxiv.org/pdf/2610.05647","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.05647","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157710112","display_name":"Julian Guam","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guam, Julian","raw_affiliation_strings":["Department of Computer Science , North Carolina State University , Raleigh , NC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science , North Carolina State University , Raleigh , NC","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073815713","display_name":"Jianqing Liu","orcid":"https://orcid.org/0000-0001-7568-015X","observed_orcids":["https://orcid.org/0000-0001-7568-015X"]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liu, Jianqing","raw_affiliation_strings":["Department of Computer Science , North Carolina State University , Raleigh , NC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science , North Carolina State University , Raleigh , NC","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.63919997215271,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.63919997215271,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.22020000219345093,"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"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.08349999785423279,"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/lindblad-master-equation","display_name":"Lindblad master equation","score":0.9599999785423279},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.9929999709129333},{"id":"https://openalex.org/keywords/time-series-transformer","display_name":"time series transformer","score":0.7059999704360962},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.6309999823570251},{"id":"https://openalex.org/keywords/self-attention","display_name":"self-attention","score":0.8460000157356262},{"id":"https://openalex.org/keywords/robustness-to-measurement-noise","display_name":"measurement noise robustness","score":0.7369999885559082},{"id":"https://openalex.org/keywords/time-dependent-dissipation","display_name":"time-dependent dissipation","score":0.75}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6624000072479248},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.6575999855995178},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.6535000205039978},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6039999723434448},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5889999866485596},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5807999968528748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5074999928474426},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.5037999749183655},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.4943000078201294},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.460099995136261},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.4171999990940094},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.41130000352859497},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.39719998836517334},{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.3871000111103058},{"id":"https://openalex.org/C194975256","wikidata":"https://www.wikidata.org/wiki/Q7269039","display_name":"Quantum dissipation","level":3,"score":0.3779999911785126},{"id":"https://openalex.org/C163677043","wikidata":"https://www.wikidata.org/wiki/Q2382874","display_name":"Open system (computing)","level":3,"score":0.3596000075340271},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34470000863075256},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.3190999925136566},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3118000030517578},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.3037000000476837},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2971999943256378},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.28439998626708984},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.28110000491142273},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.2750999927520752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27489998936653137},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C201540876","wikidata":"https://www.wikidata.org/wiki/Q4476520","display_name":"Lindblad equation","level":4,"score":0.26510000228881836},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2624000012874603},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25769999623298645}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.05647","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05647","pdf_url":"https://arxiv.org/pdf/2610.05647","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2610.05647","doi":"https://doi.org/10.48550/arxiv.2610.05647","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.05647","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.05647","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05647","pdf_url":"https://arxiv.org/pdf/2610.05647","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220656346.pdf","grobid_xml":"https://content.openalex.org/works/W7220656346.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4415634223","https://openalex.org/W7125515233","https://openalex.org/W7134807992","https://openalex.org/W4412948378","https://openalex.org/W7134180378","https://openalex.org/W4415089247","https://openalex.org/W7165016085","https://openalex.org/W7114781829","https://openalex.org/W7134064370","https://openalex.org/W4403983979"],"abstract_inverted_index":{"The":[0,112],"Lindblad":[1],"master":[2],"equation":[3],"is":[4,114],"the":[5,10,26,30,81,92,106,138],"standard":[6],"framework":[7,157],"for":[8,109,158],"describing":[9],"non-unitary":[11],"evolution":[12],"of":[13,95],"open":[14,164],"quantum":[15,159,165],"systems,":[16],"where":[17],"environmental":[18],"interactions":[19],"induce":[20],"dissipation":[21,31,57,125],"and":[22,29,42,74,101,127,155],"decoherence.":[23],"When":[24],"both":[25],"system":[27],"Hamiltonian":[28,121],"rates":[32,58],"are":[33],"partially":[34],"unknown":[35,56,120],"or":[36],"explicitly":[37],"time-dependent,":[38],"traditional":[39],"analytical":[40],"inversion":[41],"system-identification":[43],"techniques":[44],"become":[45],"intractable.":[46],"Recent":[47],"works":[48],"have":[49],"demonstrated":[50],"that":[51,89],"Transformer-based":[52],"models":[53],"can":[54],"infer":[55],"from":[59],"observable":[60],"time":[61],"series,":[62],"yet":[63],"these":[64],"approaches":[65],"typically":[66],"rely":[67],"on":[68],"hand-crafted":[69],"statistical":[70],"features":[71],"under":[72,130],"idealized":[73],"highly":[75],"restricted":[76],"conditions.":[77],"Here":[78],"we":[79],"advance":[80],"paradigm":[82],"by":[83],"introducing":[84],"a":[85,152],"raw":[86],"time-series":[87],"Transformer":[88],"directly":[90],"ingests":[91],"full":[93],"trajectories":[94],"Pauli":[96],"expectation":[97],"values":[98],"$\\langle\u03c3_x(t)\\rangle$,":[99],"$\\langle\u03c3_y(t)\\rangle$,":[100],"$\\langle\u03c3_z(t)\\rangle$,":[102],"thereby":[103],"fully":[104],"exploiting":[105],"self-attention":[107],"mechanism":[108],"temporal":[110],"modeling.":[111],"architecture":[113],"further":[115],"extended":[116],"to":[117],"jointly":[118],"learn":[119],"parameters,":[122],"handle":[123],"multiple":[124],"channels,":[126],"operate":[128],"robustly":[129],"realistic":[131,163],"measurement":[132],"noise.":[133],"Across":[134],"all":[135],"tested":[136],"scenarios":[137],"model":[139],"achieves":[140],"consistently":[141],"high":[142],"reconstruction":[143],"accuracy":[144],"while":[145],"eliminating":[146],"manual":[147],"feature":[148],"engineering.":[149],"This":[150],"provides":[151],"scalable,":[153],"robust,":[154],"versatile":[156],"environment":[160],"sensing":[161],"in":[162],"systems.":[166]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-07T00:00:00"}
