{"id":"https://openalex.org/W7214760425","doi":"https://doi.org/10.48550/arxiv.2609.35754","title":"Perfect Born Sampling of Symmetric Thermal Tensor Network States","display_name":"Perfect Born Sampling of Symmetric Thermal Tensor Network States","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214760425","doi":"https://doi.org/10.48550/arxiv.2609.35754"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.35754","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35754","pdf_url":"https://arxiv.org/pdf/2609.35754","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/2609.35754","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153504835","display_name":"Jianxin Gao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gao, Jianxin","raw_affiliation_strings":["Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","Peng Huanwu Collaborative Center for Research and Education , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"raw_affiliation_string":"Peng Huanwu Collaborative Center for Research and Education , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123833729","display_name":"Qiaoyi Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Qiaoyi","raw_affiliation_strings":["Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","School of Physical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"raw_affiliation_string":"School of Physical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153404765","display_name":"Yuan Gao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gao, Yuan","raw_affiliation_strings":["Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109735876","display_name":"Chuanshu Xu","orcid":"https://orcid.org/0009-0002-3589-0624","observed_orcids":["https://orcid.org/0009-0002-3589-0624"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu, Chuanshu","raw_affiliation_strings":["Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","School of Physical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"raw_affiliation_string":"School of Physical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125615516","display_name":"Guoliang Wu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu, Guoliang","raw_affiliation_strings":["Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","School of Physical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics , Chinese Academy of Sciences , Beijing 100190 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"raw_affiliation_string":"School of Physical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153512477","display_name":"Su Yi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi, Su","raw_affiliation_strings":["Institute of Fundamental Physics and Quantum Technology , Ningbo University , Ningbo 315211 , China","Peng Huanwu Collaborative Center for Research and Education , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Fundamental Physics and Quantum Technology , Ningbo University , Ningbo 315211 , China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Peng Huanwu Collaborative Center for Research and Education , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153425252","display_name":"Bin-Bin Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen, Bin-Bin","raw_affiliation_strings":["Peng Huanwu Collaborative Center for Research and Education , Beihang University , Beijing 100191 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Peng Huanwu Collaborative Center for Research and Education , Beihang University , Beijing 100191 , China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5153432797","display_name":"Wei Li","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Wei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"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":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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-lattice-models","display_name":"quantum lattice models","score":0.753000020980835},{"id":"https://openalex.org/keywords/importance-sampling","display_name":"importance sampling","score":0.6079999804496765},{"id":"https://openalex.org/keywords/triangular-lattice-hubbard-model","display_name":"triangular lattice Hubbard model","score":0.9929999709129333},{"id":"https://openalex.org/keywords/optical-conductivity","display_name":"optical conductivity","score":0.8320000171661377},{"id":"https://openalex.org/keywords/quantum-ising-model","display_name":"quantum Ising model","score":0.9419999718666077},{"id":"https://openalex.org/keywords/quantum-critical-point","display_name":"quantum critical point","score":0.9589999914169312}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6147000193595886},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5516999959945679},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5289999842643738},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5115000009536743},{"id":"https://openalex.org/C106074065","wikidata":"https://www.wikidata.org/wiki/Q1571298","display_name":"Hubbard model","level":3,"score":0.5002999901771545},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4814000129699707},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.44190001487731934},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3928999900817871},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.3889999985694885},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.37770000100135803},{"id":"https://openalex.org/C2778351468","wikidata":"https://www.wikidata.org/wiki/Q17149634","display_name":"Matrix product state","level":4,"score":0.36390000581741333},{"id":"https://openalex.org/C161166931","wikidata":"https://www.wikidata.org/wiki/Q7269096","display_name":"Quantum simulator","level":4,"score":0.33709999918937683},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3292999863624573},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.32760000228881836},{"id":"https://openalex.org/C152754458","wikidata":"https://www.wikidata.org/wiki/Q142270","display_name":"T-symmetry","level":3,"score":0.3125999867916107},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.30489999055862427},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.30140000581741333},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.29159998893737793},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.288100004196167},{"id":"https://openalex.org/C2776394503","wikidata":"https://www.wikidata.org/wiki/Q5282063","display_name":"Discrete symmetry","level":3,"score":0.28519999980926514},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.2745000123977661},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.2678999900817871},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.26589998602867126},{"id":"https://openalex.org/C2776897741","wikidata":"https://www.wikidata.org/wiki/Q12212546","display_name":"Quantum thermodynamics","level":3,"score":0.26499998569488525},{"id":"https://openalex.org/C90408235","wikidata":"https://www.wikidata.org/wiki/Q938141","display_name":"Quantum annealing","level":4,"score":0.26249998807907104},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.26179999113082886},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2590000033378601},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.25699999928474426},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2563000023365021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25609999895095825}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.35754","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35754","pdf_url":"https://arxiv.org/pdf/2609.35754","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.2609.35754","doi":"https://doi.org/10.48550/arxiv.2609.35754","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.35754","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:2609.35754","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.35754","pdf_url":"https://arxiv.org/pdf/2609.35754","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/G1817550964","display_name":null,"funder_award_id":"2021ZD0301900","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5445055080","display_name":null,"funder_award_id":"12534009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8351509261","display_name":null,"funder_award_id":"12447101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335768","display_name":"National Postdoctoral Program for Innovative Talents","ror":null},{"id":"https://openalex.org/F4320338247","display_name":"Moonshot Research and Development Program","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214760425.pdf","grobid_xml":"https://content.openalex.org/works/W7214760425.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1570334424","https://openalex.org/W2090558193","https://openalex.org/W4414424198","https://openalex.org/W4414750893","https://openalex.org/W4415318233","https://openalex.org/W6966952156","https://openalex.org/W7154993020"],"related_works":["https://openalex.org/W2090558193","https://openalex.org/W4389501397","https://openalex.org/W4403622345","https://openalex.org/W4407723038","https://openalex.org/W2602388990","https://openalex.org/W3021348370","https://openalex.org/W3023242753","https://openalex.org/W4307925153","https://openalex.org/W7124305646","https://openalex.org/W2280066578"],"abstract_inverted_index":{"Accurate":[0],"calculations":[1],"of":[2,21,31,186,194],"correlated":[3,245],"fermions":[4],"at":[5,151],"low":[6],"temperatures":[7],"constitute":[8],"a":[9,35,48,62,240],"major":[10],"challenge":[11],"in":[12,18],"quantum":[13,94,117,178,201,211,246,251],"many-body":[14],"physics,":[15],"most":[16],"notably":[17],"the":[19,77,82,98,125,137,161,172,183,187,192],"studies":[20],"high-$T_c$":[22],"superconductivity":[23],"and":[24,52,85,88,108,135,154,231],"ultracold":[25,166],"atom":[26,167],"optical":[27,184],"lattices.":[28],"Stochastic":[29],"sampling":[30,65,74,92,218],"tensor-network":[32],"states":[33,106,113],"offers":[34],"promising":[36],"route":[37],"to":[38,132,142,165,175,198,235],"tackle":[39],"this":[40],"problem;":[41],"however,":[42],"existing":[43],"schemes":[44],"have":[45],"long":[46],"faced":[47],"fundamental":[49],"dilemma---sampling":[50],"efficiency":[51,219],"symmetry":[53,93,222],"acceleration":[54],"\\textit{cannot}":[55],"be":[56],"achieved":[57],"simultaneously.":[58],"Here":[59],"we":[60,122],"propose":[61],"perfect":[63],"Born":[64,83],"approach":[66],"for":[67,244],"thermal":[68],"tensor":[69],"networks,":[70],"which":[71],"performs":[72],"importance":[73],"directly":[75,163],"from":[76],"purified":[78],"density":[79],"matrix":[80,104],"via":[81],"rule":[84],"incorporates":[86],"Abelian":[87],"non-Abelian":[89],"symmetries":[90],"by":[91,182],"numbers.":[95],"We":[96,146,169,190],"benchmark":[97],"method,":[99],"realized":[100],"as":[101,180],"both":[102,229],"stochastic":[103,109],"product":[105],"(stoMPS)":[107],"projected":[110],"entangled":[111],"pair":[112],"(stoPEPS),":[114],"on":[115,129,196],"large-scale":[116],"lattice":[118],"models.":[119],"Using":[120],"stoMPS,":[121],"accurately":[123],"simulate":[124],"square-lattice":[126,200],"Hubbard":[127,139,188,250],"model":[128,140],"cylinders":[130],"up":[131,197],"width":[133],"$W=10$,":[134],"study":[136],"triangular-lattice":[138],"down":[141,234],"$T/t":[143],"=":[144],"1/64$.":[145],"reveal":[147],"scalar":[148],"chiral":[149],"order":[150],"half":[152],"filling":[153],"kinetic":[155],"ferromagnetism":[156],"upon":[157],"electron":[158],"doping,":[159],"with":[160,220],"latter":[162],"compared":[164],"experiments.":[168],"further":[170],"extend":[171],"stoMPS":[173],"method":[174,215],"compute":[176],"finite-temperature":[177],"dynamics,":[179],"demonstrated":[181],"conductivity":[185],"model.":[189],"showcase":[191],"generalization":[193],"stoPEPS":[195],"$20\\times20$":[199],"Ising":[202],"model,":[203],"where":[204],"accurate":[205],"results":[206],"are":[207],"obtained":[208],"near":[209],"its":[210],"critical":[212],"point.":[213],"Our":[214],"combines":[216],"high":[217],"full":[221],"acceleration.":[223],"The":[224],"resulting":[225],"state-of-the-art":[226],"framework":[227],"captures":[228],"equilibrium":[230],"dynamical":[232],"properties":[233],"ultralow":[236],"temperatures,":[237],"thereby":[238],"providing":[239],"powerful":[241],"theoretical":[242],"tool":[243],"systems,":[247],"particularly":[248],"fermion":[249],"gas":[252],"microscopy.":[253]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}
