{"id":"https://openalex.org/W7220437709","doi":"https://doi.org/10.48550/arxiv.2610.03696","title":"Maximum-Entropy Extension of Quantum Correlation Functions from Short Real-Time Dynamics","display_name":"Maximum-Entropy Extension of Quantum Correlation Functions from Short Real-Time Dynamics","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220437709","doi":"https://doi.org/10.48550/arxiv.2610.03696"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.03696","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03696","pdf_url":"https://arxiv.org/pdf/2610.03696","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/2610.03696","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012132139","display_name":"Filippo Maria Gambetta","orcid":"https://orcid.org/0000-0002-9182-1415","observed_orcids":["https://orcid.org/0000-0002-9182-1415"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gambetta, Filippo Maria","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000550406","display_name":"Sabrina Yue Wang","orcid":"https://orcid.org/0000-0001-8431-6683","observed_orcids":["https://orcid.org/0000-0001-8431-6683"]},"institutions":[{"id":"https://openalex.org/I4210126100","display_name":"Phasecraft Ltd. (United Kingdom)","ror":"https://ror.org/042jzp908","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210126100"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Wang, Sabrina Yue","raw_affiliation_strings":["Phasecraft Ltd. , Colston Street , Bristol BS1 4XE , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Phasecraft Ltd. , Colston Street , Bristol BS1 4XE , United Kingdom","institution_ids":["https://openalex.org/I4210126100"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5157601369","display_name":"Raul A. Santos","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210126100","display_name":"Phasecraft Ltd. (United Kingdom)","ror":"https://ror.org/042jzp908","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210126100"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Santos, Raul A.","raw_affiliation_strings":["Phasecraft Ltd. , Charlotte Street , London W1T 4PW , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Phasecraft Ltd. , Charlotte Street , London W1T 4PW , United Kingdom","institution_ids":["https://openalex.org/I4210126100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T11804","display_name":"Quantum many-body systems","score":0.9785000085830688,"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":0.9785000085830688,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0015999999595806003,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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-correlation-functions","display_name":"quantum correlation functions","score":0.9850000143051147},{"id":"https://openalex.org/keywords/maximum-entropy-principle","display_name":"maximum entropy principle","score":0.6650000214576721},{"id":"https://openalex.org/keywords/autoregressive-models","display_name":"autoregressive models","score":0.8140000104904175},{"id":"https://openalex.org/keywords/yule-walker-equations","display_name":"Yule-Walker equations","score":0.9879999756813049},{"id":"https://openalex.org/keywords/stationary-processes","display_name":"stationary processes","score":0.8050000071525574},{"id":"https://openalex.org/keywords/time-series-extension","display_name":"time series extension","score":0.6380000114440918},{"id":"https://openalex.org/keywords/quasiparticle-excitations","display_name":"quasiparticle excitations","score":0.7680000066757202},{"id":"https://openalex.org/keywords/collective-excitations","display_name":"collective excitations","score":0.7379999756813049}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6495000123977661},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5806000232696533},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5180000066757202},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.503600001335144},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4961000084877014},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C53622274","wikidata":"https://www.wikidata.org/wiki/Q2496679","display_name":"Correlation function (quantum field theory)","level":3,"score":0.4546999931335449},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4300000071525574},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4174000024795532},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.39160001277923584},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.38749998807907104},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C198377831","wikidata":"https://www.wikidata.org/wiki/Q7269027","display_name":"Quantum correlation","level":5,"score":0.384799987077713},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.35420000553131104},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.3492000102996826},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3409999907016754},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.3305000066757202},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.3215000033378601},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30820000171661377},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.30329999327659607},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2922999858856201},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2847999930381775},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.28119999170303345},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2685000002384186},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2660999894142151},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.03696","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03696","pdf_url":"https://arxiv.org/pdf/2610.03696","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.2610.03696","doi":"https://doi.org/10.48550/arxiv.2610.03696","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.03696","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:2610.03696","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03696","pdf_url":"https://arxiv.org/pdf/2610.03696","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":[{"id":"https://openalex.org/G4912398007","display_name":"QUantum Algorithms to SImulate MAny-body Physics (QuASi-MaP)","funder_award_id":"10120959","funder_id":"https://openalex.org/F4320335087","funder_display_name":"Innovate UK"}],"funders":[{"id":"https://openalex.org/F4320335087","display_name":"Innovate UK","ror":"https://ror.org/05ar5fy68"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220437709.pdf","grobid_xml":"https://content.openalex.org/works/W7220437709.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W4317207183","https://openalex.org/W4385436430","https://openalex.org/W4386044714","https://openalex.org/W4414688617","https://openalex.org/W4414697812","https://openalex.org/W4415910183","https://openalex.org/W7104020706","https://openalex.org/W7108463764","https://openalex.org/W7138273606","https://openalex.org/W7160406887","https://openalex.org/W7168247118","https://openalex.org/W7171663479","https://openalex.org/W7203582724"],"related_works":["https://openalex.org/W4252372635","https://openalex.org/W2010239607","https://openalex.org/W2046997923","https://openalex.org/W2123062330","https://openalex.org/W1971104736","https://openalex.org/W2110408270","https://openalex.org/W3026082951","https://openalex.org/W2073265037","https://openalex.org/W72298407","https://openalex.org/W2091018158"],"abstract_inverted_index":{"Correlation":[0],"functions":[1,56],"are":[2],"central":[3],"to":[4,17,33,77,82,98,139,156,163],"understanding":[5],"the":[6,23,84,89,93,120,123,126,157,184],"behavior":[7],"of":[8,53,69,92,108,122,129,186],"quantum":[9,39,54],"systems,":[10],"with":[11,66,88,148],"their":[12,59,64],"spectra":[13],"giving":[14],"direct":[15],"access":[16],"quasiparticle":[18],"and":[19,38,57,125,142,176],"collective":[20],"excitations.":[21],"However,":[22],"long-time":[24],"evolution":[25],"required":[26],"for":[27,35,49,167],"sufficient":[28],"spectral":[29,60,132,177],"resolution":[30],"is":[31,114],"challenging":[32],"reach":[34],"both":[36,140],"classical":[37],"simulations.":[40],"In":[41],"this":[42],"work,":[43],"we":[44],"introduce":[45],"a":[46,106],"principled":[47],"approach":[48,137],"extending":[50],"time":[51,166],"series":[52],"correlation":[55,94,144,170],"reconstructing":[58],"densities,":[61],"based":[62],"on":[63],"connection":[65,74],"covariance":[67],"sequences":[68],"stationary":[70],"stochastic":[71],"processes.":[72],"This":[73],"enables":[75],"us":[76],"apply":[78],"Burg's":[79],"maximum-entropy":[80],"principle":[81],"find":[83],"least-committal":[85],"extension":[86,113,175],"compatible":[87],"measured":[90,169],"values":[91],"function,":[95],"which":[96],"corresponds":[97],"an":[99],"all-pole":[100],"autoregressive":[101],"model":[102],"whose":[103],"coefficients":[104],"solve":[105],"set":[107],"Yule--Walker":[109],"equations.":[110],"The":[111,136,154],"resulting":[112],"positive":[115],"semi-definite":[116],"by":[117],"construction,":[118],"guaranteeing":[119],"positivity":[121],"spectrum":[124],"automatic":[127],"satisfaction":[128],"its":[130],"total":[131],"weight":[133],"sum":[134],"rule.":[135],"applies":[138],"scalar":[141],"matrix-valued":[143],"functions,":[145,171],"including":[146],"those":[147],"highly":[149],"structured":[150],"or":[151],"continuous":[152],"spectra.":[153],"generalization":[155],"matrix":[158],"case":[159],"makes":[160],"it":[161],"possible":[162],"trade":[164],"simulation":[165],"additional":[168],"enabling":[172],"accurate":[173],"time-series":[174],"reconstruction":[178],"from":[179],"short-time":[180],"data,":[181],"even":[182],"in":[183],"presence":[185],"noise.":[187]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-06T00:00:00"}