{"id":"https://openalex.org/W7220959228","doi":"https://doi.org/10.48550/arxiv.2610.09666","title":"Geodesic-based optimal control for leakage suppression in superconducting qubits","display_name":"Geodesic-based optimal control for leakage suppression in superconducting qubits","publication_year":2026,"publication_date":"2026-10-07","ids":{"openalex":"https://openalex.org/W7220959228","doi":"https://doi.org/10.48550/arxiv.2610.09666"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.09666","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09666","pdf_url":"https://arxiv.org/pdf/2610.09666","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/2610.09666","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002238342","display_name":"Adonai Hil\u00e1rio da Silva","orcid":"https://orcid.org/0000-0002-6613-1690","observed_orcids":["https://orcid.org/0000-0002-6613-1690"]},"institutions":[{"id":"https://openalex.org/I87653560","display_name":"VTT Technical Research Centre of Finland","ror":"https://ror.org/04b181w54","country_code":"FI","type":"nonprofit","lineage":["https://openalex.org/I4210089493","https://openalex.org/I87653560"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"da Silva, Adonai Hil\u00e1rio","raw_affiliation_strings":["Quantum algorithms and software , VTT Technical Research Centre of Finland Ltd , Tietotie 3 , 02150 Espoo , Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quantum algorithms and software , VTT Technical Research Centre of Finland Ltd , Tietotie 3 , 02150 Espoo , Finland","institution_ids":["https://openalex.org/I87653560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008097361","display_name":"Tanmoy Pandit","orcid":"https://orcid.org/0000-0002-2377-6181","observed_orcids":["https://orcid.org/0000-0002-2377-6181","https://orcid.org/0009-0000-6092-6532"]},"institutions":[{"id":"https://openalex.org/I87653560","display_name":"VTT Technical Research Centre of Finland","ror":"https://ror.org/04b181w54","country_code":"FI","type":"nonprofit","lineage":["https://openalex.org/I4210089493","https://openalex.org/I87653560"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pandit, Tanmoy","raw_affiliation_strings":["Quantum algorithms and software , VTT Technical Research Centre of Finland Ltd , Tietotie 3 , 02150 Espoo , Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quantum algorithms and software , VTT Technical Research Centre of Finland Ltd , Tietotie 3 , 02150 Espoo , Finland","institution_ids":["https://openalex.org/I87653560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027488208","display_name":"F. Cosco","orcid":"https://orcid.org/0000-0002-4418-3879","observed_orcids":["https://orcid.org/0000-0002-4418-3879"]},"institutions":[{"id":"https://openalex.org/I87653560","display_name":"VTT Technical Research Centre of Finland","ror":"https://ror.org/04b181w54","country_code":"FI","type":"nonprofit","lineage":["https://openalex.org/I4210089493","https://openalex.org/I87653560"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Cosco, Francesco","raw_affiliation_strings":["Quantum algorithms and software , VTT Technical Research Centre of Finland Ltd , Tietotie 3 , 02150 Espoo , Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quantum algorithms and software , VTT Technical Research Centre of Finland Ltd , Tietotie 3 , 02150 Espoo , Finland","institution_ids":["https://openalex.org/I87653560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87653560"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9340999722480774,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9340999722480774,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.05570000037550926,"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":0.003000000026077032,"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/superconducting-qubits","display_name":"superconducting qubits","score":0.9599999785423279},{"id":"https://openalex.org/keywords/leakage-control","display_name":"leakage control","score":0.8450000286102295},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.8220000267028809},{"id":"https://openalex.org/keywords/sub-riemannian-geodesics","display_name":"sub-Riemannian geodesics","score":0.9539999961853027},{"id":"https://openalex.org/keywords/unitary-groups","display_name":"unitary groups","score":0.843999981880188},{"id":"https://openalex.org/keywords/iswap-gate","display_name":"iSWAP gate","score":0.8339999914169312},{"id":"https://openalex.org/keywords/average-gate-fidelity","display_name":"average gate fidelity","score":0.7490000128746033},{"id":"https://openalex.org/keywords/gaussian-pulse","display_name":"Gaussian pulse","score":0.7179999947547913},{"id":"https://openalex.org/keywords/heat-dissipation","display_name":"heat dissipation","score":0.722000002861023},{"id":"https://openalex.org/keywords/coherent-errors","display_name":"coherent errors","score":0.3230000138282776}],"concepts":[{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.6851000189781189},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.579800009727478},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5254999995231628},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4927999973297119},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4740000069141388},{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.46480000019073486},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4641999900341034},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.36079999804496765},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.3239000141620636},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.301800012588501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27709999680519104},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.26429998874664307},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2621999979019165},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.25679999589920044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25619998574256897},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.2556999921798706}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.09666","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09666","pdf_url":"https://arxiv.org/pdf/2610.09666","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.2610.09666","doi":"https://doi.org/10.48550/arxiv.2610.09666","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.09666","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:2610.09666","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.09666","pdf_url":"https://arxiv.org/pdf/2610.09666","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/W7220959228.pdf","grobid_xml":"https://content.openalex.org/works/W7220959228.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4394663370","https://openalex.org/W7165394891"],"related_works":["https://openalex.org/W3010664478","https://openalex.org/W4402641107","https://openalex.org/W2211717363","https://openalex.org/W7169511373","https://openalex.org/W1975440232","https://openalex.org/W2737086610","https://openalex.org/W2188200253","https://openalex.org/W7213580593","https://openalex.org/W2084222475","https://openalex.org/W7151229274"],"abstract_inverted_index":{"Superconducting":[0],"qubits":[1,89],"are":[2],"often":[3],"based":[4,73],"on":[5,74],"the":[6,18,28,57,79,95,103,110,125,132,147,155,165],"first":[7],"two":[8,87],"energy":[9,30,38],"levels":[10],"of":[11,20,86,127,167],"a":[12,83,169],"physical":[13],"anharmonic":[14],"LC":[15],"oscillator.":[16],"Since":[17],"anharmonicity":[19],"such":[21],"systems":[22],"is":[23,41],"usually":[24],"much":[25],"lower":[26],"than":[27],"involved":[29],"gaps,":[31],"population":[32],"can":[33,48],"easily":[34],"leak":[35],"to":[36,60,159],"higher":[37,162],"states.":[39],"This":[40],"what":[42],"characterizes":[43],"leakage":[44,91,128,151],"errors,":[45],"and":[46,102,138],"it":[47],"have":[49],"multiple":[50],"sources:":[51],"from":[52],"coherent":[53],"error":[54,152],"induced":[55],"by":[56],"control":[58,71],"platform":[59],"incoherent":[61],"thermal":[62],"dissipation.":[63],"In":[64],"this":[65],"work,":[66],"we":[67,112,157],"adapt":[68],"an":[69],"optimal":[70,134],"method":[72],"sub-Riemannian":[75],"geodesic":[76],"search":[77],"in":[78,117,124],"unitary":[80],"group":[81],"for":[82,98,106,142],"system":[84],"consisting":[85],"superconducting":[88],"with":[90,136,164],"levels.":[92],"We":[93],"use":[94],"$R_x(\u03c0/2)$":[96],"rotation":[97],"single-qubit":[99],"operation":[100,105],"analysis,":[101],"$i$SWAP":[104,148],"two-qubit":[107],"analysis.":[108],"For":[109,146],"former,":[111],"find":[113],"considerable":[114],"performance":[115],"improvement":[116],"average":[118],"gate":[119],"fidelity":[120],"as":[121,123],"well":[122],"reduction":[126],"errors":[129],"when":[130],"comparing":[131],"obtained":[133],"pulses":[135],"Gaussian":[137],"DRAG":[139],"pulses,":[140],"especially":[141],"short":[143],"duration":[144],"pulses.":[145],"gate,":[149],"although":[150],"remains":[153],"roughly":[154],"same,":[156],"manage":[158],"obtain":[160],"considerably":[161],"fidelities":[163],"cost":[166],"requiring":[168],"slightly":[170],"longer":[171],"time":[172],"evolution.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}