{"id":"https://openalex.org/W7159584282","doi":"https://doi.org/10.48550/arxiv.2604.27838","title":"Heisenberg-limited Hamiltonian learning without short-time control","display_name":"Heisenberg-limited Hamiltonian learning without short-time control","publication_year":2026,"publication_date":"2026-04-30","ids":{"openalex":"https://openalex.org/W7159584282","doi":"https://doi.org/10.48550/arxiv.2604.27838"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.27838","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27838","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":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.2604.27838","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134959241","display_name":"Myeongjin Shin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shin, Myeongjin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134934082","display_name":"Junseo Lee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lee, Junseo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134979650","display_name":"Changhun Oh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oh, Changhun","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5077999830245972,"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":0.5077999830245972,"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":0.18129999935626984,"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/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.1128000020980835,"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/quantum","display_name":"Quantum","score":0.49790000915527344},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4864000082015991},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.48539999127388},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4262999892234802},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4185999929904938},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.4041999876499176},{"id":"https://openalex.org/keywords/adiabatic-quantum-computation","display_name":"Adiabatic quantum computation","score":0.3873000144958496},{"id":"https://openalex.org/keywords/iterative-learning-control","display_name":"Iterative learning control","score":0.37439998984336853},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.3700000047683716}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49790000915527344},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4864000082015991},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.48539999127388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4406999945640564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4361000061035156},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4262999892234802},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4185999929904938},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4041999876499176},{"id":"https://openalex.org/C192353077","wikidata":"https://www.wikidata.org/wiki/Q4682635","display_name":"Adiabatic quantum computation","level":4,"score":0.3873000144958496},{"id":"https://openalex.org/C117619785","wikidata":"https://www.wikidata.org/wiki/Q6094414","display_name":"Iterative learning control","level":3,"score":0.37439998984336853},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3700000047683716},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3531999886035919},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3490999937057495},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C2984281365","wikidata":"https://www.wikidata.org/wiki/Q906781","display_name":"Quantum control","level":3,"score":0.3303000032901764},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3273000121116638},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32089999318122864},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.3167000114917755},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2946000099182129},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2904999852180481},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.28929999470710754},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.28529998660087585},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2533000111579895}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.27838","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27838","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.27838","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27838","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":false,"raw_source_name":null,"raw_type":"Preprint"},"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":{"Characterizing":[0],"quantum":[1,13,106,210],"systems":[2],"by":[3,109],"learning":[4,58,111,122],"their":[5],"underlying":[6],"Hamiltonians":[7],"is":[8,99],"a":[9,67,81,100,160,180,191],"central":[10],"task":[11,123],"in":[12,24,69,141,183,195],"information":[14],"science.":[15],"While":[16],"recent":[17],"algorithmic":[18],"advances":[19],"have":[20],"achieved":[21,61],"near-optimal":[22],"efficiency":[23],"this":[25,51,89],"task,":[26],"they":[27],"critically":[28],"rely":[29],"on":[30],"accessing":[31],"arbitrarily":[32],"short-time":[33,63],"dynamics.":[34],"This":[35,119],"reliance":[36],"poses":[37],"severe":[38],"experimental":[39],"challenges":[40],"due":[41],"to":[42,73,124],"finite":[43],"control":[44,107],"bandwidth":[45],"and":[46,86,198],"transient":[47],"pulse":[48],"errors.":[49],"In":[50],"work,":[52],"we":[53,158],"demonstrate":[54],"that":[55,88,165,200],"Heisenberg-limited":[56,94],"Hamiltonian":[57],"can":[59,171],"be":[60,172],"without":[62],"control.":[64],"We":[65],"introduce":[66],"framework":[68],"which":[70],"every":[71],"query":[72],"the":[74,104,121,136,166,176,196],"unknown":[75],"dynamics":[76],"has":[77],"duration":[78],"at":[79,179],"least":[80],"prescribed":[82],"minimum":[83,149,167],"time":[84,144,151,170],"$T$,":[85],"show":[87],"restriction":[90],"does":[91],"not":[92,205],"preclude":[93],"scaling.":[95],"The":[96],"key":[97],"ingredient":[98],"method":[101],"for":[102,129,145,208],"emulating":[103],"continuous":[105],"required":[108,168],"iterative":[110],"algorithms":[112],"using":[113],"only":[114],"such":[115],"lower-bounded":[116],"evolution":[117,143,150,169,185],"times.":[118],"reduces":[120],"sparse":[125,131],"pure-state":[126],"tomography.":[127],"Notably,":[128],"logarithmically":[130],"Hamiltonians,":[132],"our":[133],"algorithm":[134],"achieves":[135],"information-theoretically":[137],"optimal":[138,209],"$1/\\varepsilon$":[139],"scaling":[140],"total":[142,184],"any":[146],"arbitrary":[147],"constant":[148],"$T$.":[152],"For":[153],"many-body":[154],"(polynomially":[155],"sparse)":[156],"systems,":[157],"uncover":[159],"rigorous":[161],"quantitative":[162],"tradeoff,":[163],"showing":[164],"significantly":[173],"relaxed":[174],"from":[175],"standard":[177],"limit":[178],"polynomial":[181],"cost":[182],"time.":[186],"Our":[187],"results":[188],"affirmatively":[189],"resolve":[190],"prominent":[192],"open":[193],"problem":[194],"field":[197],"reveal":[199],"high-bandwidth,":[201],"ultra-short":[202],"pulses":[203],"are":[204],"fundamentally":[206],"necessary":[207],"learning.":[211]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-02T00:00:00"}