{"id":"https://openalex.org/W7212300508","doi":"https://doi.org/10.48550/arxiv.2609.11351","title":"Optimizing quantum encodings for analog simulation through dynamical algebra reachability","display_name":"Optimizing quantum encodings for analog simulation through dynamical algebra reachability","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7212300508","doi":"https://doi.org/10.48550/arxiv.2609.11351"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.11351","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11351","pdf_url":"https://arxiv.org/pdf/2609.11351","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.11351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107252276","display_name":"M. Mangin-Brinet","orcid":"https://orcid.org/0000-0001-8876-2023","observed_orcids":["https://orcid.org/0000-0001-8876-2023"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210133362","display_name":"Institut National de Physique Nucl\u00e9aire et de Physique des Particules","ror":"https://ror.org/03fd77x13","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210133362"]},{"id":"https://openalex.org/I4210141222","display_name":"Laboratoire de Physique Subatomique et de Cosmologie","ror":"https://ror.org/03f0apy98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210133362","https://openalex.org/I4210141222","https://openalex.org/I4210148025","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mangin-Brinet, Mariane","raw_affiliation_strings":["Laboratoire de Physique Subatomique et de Cosmologie , CNRS/IN2P3/UGA , 38026 Grenoble , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Subatomique et de Cosmologie , CNRS/IN2P3/UGA , 38026 Grenoble , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210133362","https://openalex.org/I4210141222","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107252276"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210133362","https://openalex.org/I4210141222","https://openalex.org/I899635006"],"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":0.9667999744415283,"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":0.9667999744415283,"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/T11804","display_name":"Quantum many-body systems","score":0.01510000042617321,"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":0.008500000461935997,"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/analog-quantum-computing","display_name":"analog quantum computing","score":0.8510000109672546},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8379999995231628},{"id":"https://openalex.org/keywords/unitary-orbits","display_name":"unitary orbits","score":0.6129999756813049},{"id":"https://openalex.org/keywords/riemannian-gradient-descent","display_name":"Riemannian gradient descent","score":0.9229999780654907},{"id":"https://openalex.org/keywords/rydberg-atoms","display_name":"Rydberg atoms","score":0.6930000185966492},{"id":"https://openalex.org/keywords/state-preparation-fidelity","display_name":"state preparation fidelity","score":0.8349999785423279}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.6200000047683716},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.515999972820282},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.48510000109672546},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.3903999924659729},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3873000144958496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3847000002861023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37689998745918274},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3723999857902527},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.36410000920295715},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.34610000252723694},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.33550000190734863},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3310000002384186},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.30309998989105225},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C2776865275","wikidata":"https://www.wikidata.org/wiki/Q311666","display_name":"Projector","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2955000102519989},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.29030001163482666},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2840999960899353},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.27469998598098755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2685000002384186},{"id":"https://openalex.org/C130295795","wikidata":"https://www.wikidata.org/wiki/Q3550684","display_name":"Unitarity","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.25940001010894775}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2609.11351","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11351","pdf_url":"https://arxiv.org/pdf/2609.11351","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":"pmh:oai:HAL:hal-05759396v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05759396v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2609.11351","doi":"https://doi.org/10.48550/arxiv.2609.11351","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.11351","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.11351","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.11351","pdf_url":"https://arxiv.org/pdf/2609.11351","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212300508.pdf","grobid_xml":"https://content.openalex.org/works/W7212300508.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1754228434","https://openalex.org/W3114964656","https://openalex.org/W7171405753"],"related_works":["https://openalex.org/W4403756011","https://openalex.org/W3159828518","https://openalex.org/W3131729454","https://openalex.org/W3182251839","https://openalex.org/W4392804748","https://openalex.org/W4416344473","https://openalex.org/W4407358700","https://openalex.org/W7077280556","https://openalex.org/W3161727367","https://openalex.org/W1965719193"],"abstract_inverted_index":{"Analog":[0],"quantum":[1],"computers":[2],"provides":[3],"direct":[4],"access":[5],"to":[6,139,188],"continuous":[7],"many-body":[8],"dynamics,":[9],"but":[10,39],"their":[11],"native":[12,133],"control":[13,83,234],"Hamiltonians":[14,84],"generate":[15,47],"only":[16,35],"a":[17,29,53,68,73,86,109,121,145,176,198],"restricted":[18],"operator":[19,75],"space.":[20],"Consequently,":[21],"the":[22,42,48,63,79,100,104,132,140,168,172,183,189,217],"fidelity":[23,187],"with":[24,131,156],"which":[25],"they":[26],"can":[27,45,93,236],"reproduce":[28],"target":[30,69,105,126],"Hamiltonian's":[31],"dynamics":[32],"depends":[33],"not":[34],"on":[36,40,117,144],"spectral":[37,64],"agreement":[38],"whether":[41],"physical":[43],"controls":[44],"actually":[46],"required":[49],"evolution.":[50],"We":[51,107,135],"introduce":[52],"geometry-independent":[54,178],"framework":[55,138],"for":[56,159,202,238],"diagnosing":[57],"and":[58,72,85,213,221,231],"optimizing":[59],"this":[60,137,157],"compatibility":[61,170],"between":[62,219],"algebra":[65,127],"generated":[66,77],"by":[67],"Hamiltonian":[70,142],"$H$":[71],"Krylov-type":[74],"space":[76,158],"from":[78],"device's":[80],"independently":[81],"tunable":[82],"fixed":[87],"initial":[88],"state.":[89],"The":[90,149],"encoding":[91,152,180,204,227],"problem":[92],"be":[94],"formulated":[95],"as":[96,197],"an":[97],"optimization":[98,165,228],"over":[99],"unitary":[101],"orbit":[102],"of":[103,171,185],"Hamiltonian.":[106],"maximize":[108],"smooth":[110],"subspace-overlap":[111],"functional":[112],"using":[113,175],"Riemannian":[114],"gradient":[115],"descent":[116],"$U(d)$,":[118],"thereby":[119],"selecting":[120],"spectrally":[122],"equivalent":[123],"representation":[124],"whose":[125],"is":[128,153,229],"better":[129],"aligned":[130],"controls.":[134],"apply":[136],"deuteron":[141],"encoded":[143],"Rydberg-atom":[146],"analog":[147,203],"processor.":[148],"standard":[150],"binary":[151],"strongly":[154],"misaligned":[155],"small":[160],"system":[161],"sizes,":[162],"while":[163,216],"principal-angle":[164],"substantially":[166,181],"improves":[167],"algebraic":[169,195,240],"encoding.":[173],"Moreover,":[174],"single":[177],"optimized":[179],"reduces":[182],"sensitivity":[184],"state-preparation":[186],"atomic":[190],"geometry.":[191],"These":[192],"results":[193],"establish":[194],"reachability":[196,223],"useful":[199],"preprocessing":[200],"criterion":[201],"design:":[205],"it":[206],"identifies":[207],"representation-level":[208],"incompatibilities":[209],"before":[210],"device-specific":[211],"geometry":[212],"pulse":[214],"optimization,":[215],"distinction":[218],"algebra-level":[220],"state-level":[222],"clarifies":[224],"when":[225,232],"full":[226],"necessary":[230],"geometry-dependent":[233],"resources":[235],"compensate":[237],"incomplete":[239],"alignment.":[241]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-12T00:00:00"}