{"id":"https://openalex.org/W7224092341","doi":"https://doi.org/10.48550/arxiv.2610.36356","title":"Probability bounds on trajectory-level exceedances of quantum speed limits under continuous-measurement feedback","display_name":"Probability bounds on trajectory-level exceedances of quantum speed limits under continuous-measurement feedback","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W7224092341","doi":"https://doi.org/10.48550/arxiv.2610.36356"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.36356","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36356","pdf_url":"https://arxiv.org/pdf/2610.36356","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/2610.36356","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160036104","display_name":"Kohei Kobayashi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4400009020","display_name":"Institute of Science Tokyo","ror":"https://ror.org/05dqf9946","country_code":"JP","type":"education","lineage":["https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kobayashi, Kohei","raw_affiliation_strings":["Department of Physics , Institute of Science Tokyo , 2-12-1 Ookayama , Meguro-ku , Tokyo , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Institute of Science Tokyo , 2-12-1 Ookayama , Meguro-ku , Tokyo , Japan","institution_ids":["https://openalex.org/I4400009020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5160036104"],"corresponding_institution_ids":["https://openalex.org/I4400009020"],"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/T10020","display_name":"Quantum Information and Cryptography","score":0.4311999976634979,"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":0.4311999976634979,"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":0.3433000147342682,"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":0.20069999992847443,"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-speed-limit","display_name":"quantum speed limit","score":0.9240000247955322},{"id":"https://openalex.org/keywords/quantum-trajectories","display_name":"quantum trajectories","score":0.8820000290870667},{"id":"https://openalex.org/keywords/continuous-measurement","display_name":"continuous measurement","score":0.7450000047683716},{"id":"https://openalex.org/keywords/quantum-feedback-control","display_name":"quantum feedback control","score":0.8090000152587891},{"id":"https://openalex.org/keywords/exceedance-probability","display_name":"exceedance probability","score":0.675000011920929},{"id":"https://openalex.org/keywords/concentration-bounds","display_name":"concentration bounds","score":0.609000027179718},{"id":"https://openalex.org/keywords/qubit-dynamics","display_name":"qubit dynamics","score":0.7329999804496765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6057000160217285},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5687999725341797},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.531000018119812},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5149000287055969},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5077000260353088},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4875999987125397},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4846999943256378},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45570001006126404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42660000920295715},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.42579999566078186},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.3492000102996826},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.3109999895095825},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3003999888896942},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.2971000075340271},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C2780210587","wikidata":"https://www.wikidata.org/wiki/Q1077350","display_name":"Speed limit","level":2,"score":0.2809999883174896},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.2791000008583069},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2590999901294708}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.36356","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36356","pdf_url":"https://arxiv.org/pdf/2610.36356","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.2610.36356","doi":"https://doi.org/10.48550/arxiv.2610.36356","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.36356","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.36356","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36356","pdf_url":"https://arxiv.org/pdf/2610.36356","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/W7224092341.pdf","grobid_xml":"https://content.openalex.org/works/W7224092341.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4322201941","https://openalex.org/W2789494119","https://openalex.org/W3006803743","https://openalex.org/W7171365719","https://openalex.org/W3001043599","https://openalex.org/W4411363129","https://openalex.org/W4407571819","https://openalex.org/W7035907514","https://openalex.org/W7125228857","https://openalex.org/W4399766487"],"abstract_inverted_index":{"We":[0,43,81],"investigate":[1],"the":[2,22,33,52,89,96,100,107],"probability":[3,35,91],"that":[4,73],"a":[5,63,78,84],"conditioned":[6,101],"quantum":[7,12],"trajectory":[8],"exceeds":[9],"an":[10,29,58],"ensemble-derived":[11],"speed":[13],"limit":[14],"(QSL)":[15],"velocity":[16],"under":[17],"continuous":[18],"measurement-based":[19],"feedback.":[20],"Using":[21],"finite-time":[23,85],"average":[24],"fidelity":[25,53],"velocity,":[26],"we":[27,66],"derive":[28,67],"upper":[30],"bound":[31],"on":[32,51],"exceedance":[34,90],"in":[36,77,87],"terms":[37],"of":[38,99],"its":[39],"mean":[40],"and":[41,55,71,110],"variance.":[42],"further":[44],"obtain":[45],"state-independent":[46],"bounds":[47,70,109],"from":[48],"uniform":[49],"constraints":[50],"drift":[54],"diffusion,":[56],"including":[57],"exponential":[59],"concentration":[60],"bound.":[61],"For":[62],"feedback-controlled":[64],"qubit,":[65],"explicit":[68],"model-specific":[69],"show":[72],"they":[74],"are":[75],"nontrivial":[76],"short-time":[79],"regime.":[80],"also":[82],"identify":[83],"regime":[86],"which":[88],"vanishes":[92],"exactly":[93],"due":[94],"to":[95],"restricted":[97],"support":[98],"dynamics.":[102],"Monte":[103],"Carlo":[104],"simulations":[105],"confirm":[106],"analytical":[108],"illustrate":[111],"their":[112],"tightness.":[113]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-29T00:00:00"}