{"id":"https://openalex.org/W7214922354","doi":"https://doi.org/10.48550/arxiv.2609.38007","title":"Improved estimate of local Markovianity for quantum Gibbs states","display_name":"Improved estimate of local Markovianity for quantum Gibbs states","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214922354","doi":"https://doi.org/10.48550/arxiv.2609.38007"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.38007","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.38007","pdf_url":"https://arxiv.org/pdf/2609.38007","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/2609.38007","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015394994","display_name":"Tai Hsuan Yang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4405252470","display_name":"Anthony J. Leggett Institute for Condensed Matter Theory","ror":"https://ror.org/02zvy6a06","country_code":"US","type":"facility","lineage":["https://openalex.org/I157725225","https://openalex.org/I4405252470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yang, Tai Hsuan","raw_affiliation_strings":["Department of Physics and Institute for Condensed Matter Theory , University of Illinois Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Institute for Condensed Matter Theory , University of Illinois Urbana-Champaign","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I4405252470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015394994"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I4405252470"],"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/T11804","display_name":"Quantum many-body systems","score":0.9369999766349792,"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/T11804","display_name":"Quantum many-body systems","score":0.9369999766349792,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.015799999237060547,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/conditional-mutual-information","display_name":"conditional mutual information","score":0.9940000176429749},{"id":"https://openalex.org/keywords/finite-range-interactions","display_name":"finite-range interactions","score":0.8209999799728394},{"id":"https://openalex.org/keywords/stretched-exponential-decay","display_name":"stretched exponential decay","score":0.8360000252723694},{"id":"https://openalex.org/keywords/power-law-interactions","display_name":"power-law interactions","score":0.9869999885559082},{"id":"https://openalex.org/keywords/kullback-leibler-divergence","display_name":"Kullback-Leibler divergence","score":0.6579999923706055},{"id":"https://openalex.org/keywords/boundary-interactions","display_name":"boundary interactions","score":0.40299999713897705},{"id":"https://openalex.org/keywords/positive-temperature","display_name":"positive temperature","score":0.5}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.715399980545044},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5680000185966492},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5149000287055969},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.49639999866485596},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4959999918937683},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.49570000171661377},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47870001196861267},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4652999937534332},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.44780001044273376},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.41659998893737793},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.39820000529289246},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.3910999894142151},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3790999948978424},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.3564999997615814},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.34630000591278076},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.33070001006126404},{"id":"https://openalex.org/C2780872131","wikidata":"https://www.wikidata.org/wiki/Q5558987","display_name":"Gibbs state","level":3,"score":0.320499986410141},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.296999990940094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29600000381469727},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29170000553131104},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.2549000084400177}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.38007","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.38007","pdf_url":"https://arxiv.org/pdf/2609.38007","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.2609.38007","doi":"https://doi.org/10.48550/arxiv.2609.38007","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.38007","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.38007","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.38007","pdf_url":"https://arxiv.org/pdf/2609.38007","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":[{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214922354.pdf","grobid_xml":"https://content.openalex.org/works/W7214922354.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W2126081578","https://openalex.org/W2521155156","https://openalex.org/W2895223753","https://openalex.org/W4362515055","https://openalex.org/W4386823127","https://openalex.org/W4388748512","https://openalex.org/W4408015984","https://openalex.org/W4409696920","https://openalex.org/W4409718174","https://openalex.org/W4415262869","https://openalex.org/W4415307388","https://openalex.org/W4415313795","https://openalex.org/W4416390678","https://openalex.org/W7166579860"],"related_works":["https://openalex.org/W4409696920","https://openalex.org/W3033035931","https://openalex.org/W4414585415","https://openalex.org/W4392245761","https://openalex.org/W3158785456","https://openalex.org/W2521155156","https://openalex.org/W4409718174","https://openalex.org/W3094099024","https://openalex.org/W6944176224","https://openalex.org/W4415166266"],"abstract_inverted_index":{"We":[0,118],"establish":[1],"improved":[2],"locally":[3],"Markovian":[4],"properties":[5],"of":[6,18,39,42,48,51,65,114],"quantum":[7],"Gibbs":[8,121],"states":[9],"at":[10],"every":[11],"fixed":[12],"positive":[13],"temperature.":[14],"For":[15,76,91],"finite-range":[16],"interactions":[17],"bounded":[19],"interaction":[20],"degree,":[21],"the":[22,36,43,49,52,56,61,66,111,120,133],"conditional":[23],"mutual":[24],"information":[25],"(CMI)":[26],"decays":[27],"exponentially":[28,77],"with":[29,31,87,100,123],"separation,":[30],"a":[32,88,124,137],"prefactor":[33],"exponential":[34,62],"in":[35,108],"boundary":[37,130],"size":[38,50],"only":[40],"one":[41],"two":[44],"regions":[45],"and":[46,55,73,78,116],"independent":[47],"other":[53],"region":[54],"total":[57],"system.":[58],"This":[59],"improves":[60],"volume":[63],"dependence":[64],"local":[67],"Markov":[68],"bounds":[69],"established":[70],"by":[71,128],"Chen":[72,115],"Rouz\u00e9":[74],"\\cite{Chen2025}.":[75],"stretched-exponentially":[79],"decaying":[80],"interactions,":[81,93,131],"we":[82,94,141],"obtain":[83],"stretched-exponential":[84],"CMI":[85,134],"decay":[86,99],"boundary-dependent":[89],"prefactor.":[90],"power-law":[92],"prove":[95],"inverse-logarithmic":[96],"or":[97],"algebraic":[98],"polynomial":[101],"region-size":[102],"dependence.":[103],"Our":[104],"proof":[105],"is":[106],"static,":[107],"contrast":[109],"to":[110,136],"dynamical":[112],"approach":[113],"Rouz\u00e9.":[117],"compare":[119],"state":[122,126],"product":[125],"obtained":[127],"removing":[129],"reducing":[132],"bound":[135],"relative-entropy":[138],"loss":[139],"that":[140],"control":[142],"using":[143],"locality":[144],"estimates.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-01T00:00:00"}
