{"id":"https://openalex.org/W4406958699","doi":"https://doi.org/10.1103/prxquantum.6.010320","title":"Hybrid Tree Tensor Networks for Quantum Simulation","display_name":"Hybrid Tree Tensor Networks for Quantum Simulation","publication_year":2025,"publication_date":"2025-01-29","ids":{"openalex":"https://openalex.org/W4406958699","doi":"https://doi.org/10.1103/prxquantum.6.010320"},"language":"en","primary_location":{"id":"doi:10.1103/prxquantum.6.010320","doi":"https://doi.org/10.1103/prxquantum.6.010320","is_oa":true,"landing_page_url":"https://doi.org/10.1103/prxquantum.6.010320","pdf_url":null,"source":{"id":"https://openalex.org/S4210195673","display_name":"PRX Quantum","issn_l":"2691-3399","issn":["2691-3399"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PRX Quantum","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1103/prxquantum.6.010320","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008471435","display_name":"Julian Schuhmacher","orcid":"https://orcid.org/0000-0002-7011-6477","observed_orcids":["https://orcid.org/0000-0002-7011-6477"]},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Julian Schuhmacher","raw_affiliation_strings":["IBM Quantum, IBM Research Europe - Zurich","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)"],"raw_orcid":"https://orcid.org/0000-0002-7011-6477","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe - Zurich","institution_ids":["https://openalex.org/I4210126328"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047200552","display_name":"Marco Ballarin","orcid":"https://orcid.org/0000-0002-3215-3453","observed_orcids":["https://orcid.org/0000-0002-3215-3453"]},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]},{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I4210105455","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Padova","ror":"https://ror.org/00z34yn88","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210105455"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Ballarin","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia \u201dG. Galilei\u201d","Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova","Universit\u00e0 degli Studi di Padova"],"raw_orcid":"https://orcid.org/0000-0002-3215-3453","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia \u201dG. Galilei\u201d","institution_ids":[]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova","institution_ids":["https://openalex.org/I160013858","https://openalex.org/I4210105455"]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Padova","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039903479","display_name":"Alberto Baiardi","orcid":"https://orcid.org/0000-0001-9112-8664","observed_orcids":["https://orcid.org/0000-0001-9112-8664"]},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alberto Baiardi","raw_affiliation_strings":["IBM Quantum, IBM Research Europe - Zurich"],"raw_orcid":"https://orcid.org/0000-0001-9112-8664","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe - Zurich","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077244311","display_name":"Giuseppe Magnifico","orcid":"https://orcid.org/0000-0002-7280-445X","observed_orcids":["https://orcid.org/0000-0002-7280-445X","https://orcid.org/0000-0003-4593-7369"]},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I4210112283","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Bari","ror":"https://ror.org/022hq6c49","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210112283"]},{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Magnifico","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia \u201dG. Galilei\u201d","Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Bari","Universit\u00e0 di Bari"],"raw_orcid":"https://orcid.org/0000-0002-7280-445X","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia \u201dG. Galilei\u201d","institution_ids":[]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Bari","institution_ids":["https://openalex.org/I160013858","https://openalex.org/I4210112283"]},{"raw_affiliation_string":"Universit\u00e0 di Bari","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066665970","display_name":"Francesco Tacchino","orcid":"https://orcid.org/0000-0003-2008-5956","observed_orcids":["https://orcid.org/0000-0003-2008-5956"]},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Francesco Tacchino","raw_affiliation_strings":["IBM Quantum, IBM Research Europe - Zurich"],"raw_orcid":"https://orcid.org/0000-0003-2008-5956","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe - Zurich","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003672540","display_name":"Simone Montangero","orcid":"https://orcid.org/0000-0002-8882-2169","observed_orcids":["https://orcid.org/0000-0002-8882-2169"]},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]},{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I4210105455","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Padova","ror":"https://ror.org/00z34yn88","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210105455"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Montangero","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia \u201dG. Galilei\u201d","Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova","Universit\u00e0 degli Studi di Padova"],"raw_orcid":"https://orcid.org/0000-0002-8882-2169","affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia \u201dG. Galilei\u201d","institution_ids":[]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova","institution_ids":["https://openalex.org/I160013858","https://openalex.org/I4210105455"]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Padova","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001223912","display_name":"Ivano Tavernelli","orcid":"https://orcid.org/0000-0001-5690-1981","observed_orcids":["https://orcid.org/0000-0001-5690-1981"]},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ivano Tavernelli","raw_affiliation_strings":["IBM Quantum, IBM Research Europe - Zurich"],"raw_orcid":"https://orcid.org/0000-0001-5690-1981","affiliations":[{"raw_affiliation_string":"IBM Quantum, IBM Research Europe - Zurich","institution_ids":["https://openalex.org/I4210126328"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3450,"currency":"USD","value_usd":3450},"apc_paid":{"value":3450,"currency":"USD","value_usd":3450},"fwci":4.0086,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9490079,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"6","issue":"1","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":0.7860999703407288,"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":0.7860999703407288,"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":0.20980000495910645,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-simulation","display_name":"quantum simulation","score":0.7549999952316284},{"id":"https://openalex.org/keywords/variational-quantum-states","display_name":"variational quantum states","score":0.8429999947547913},{"id":"https://openalex.org/keywords/tensor-network-contraction","display_name":"tensor network contraction","score":0.8360000252723694}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5412144660949707},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5199957489967346},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4875180423259735},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39795440435409546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29329970479011536},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.125994473695755},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.106350839138031}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1103/prxquantum.6.010320","doi":"https://doi.org/10.1103/prxquantum.6.010320","is_oa":true,"landing_page_url":"https://doi.org/10.1103/prxquantum.6.010320","pdf_url":null,"source":{"id":"https://openalex.org/S4210195673","display_name":"PRX Quantum","issn_l":"2691-3399","issn":["2691-3399"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PRX Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2404.05784","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.05784","pdf_url":"https://arxiv.org/pdf/2404.05784","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":"pmh:oai:doaj.org/article:03b3bbbe1cc34b7ca309d498ddb5084d","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/03b3bbbe1cc34b7ca309d498ddb5084d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PRX Quantum, Vol 6, Iss 1, p 010320 (2025)","raw_type":"article"},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/247224","doi":null,"is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/247224","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},{"id":"pmh:oai:ricerca.uniba.it:11586/531180","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11586/531180","pdf_url":null,"source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.research.unipd.it:11577/3560279","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/11577/3560279","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2404.05784","doi":"https://doi.org/10.48550/arxiv.2404.05784","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.05784","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1103/prxquantum.6.010320","doi":"https://doi.org/10.1103/prxquantum.6.010320","is_oa":true,"landing_page_url":"https://doi.org/10.1103/prxquantum.6.010320","pdf_url":null,"source":{"id":"https://openalex.org/S4210195673","display_name":"PRX Quantum","issn_l":"2691-3399","issn":["2691-3399"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PRX Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1303340219","display_name":null,"funder_award_id":"2023-2027","funder_id":"https://openalex.org/F4320317295","funder_display_name":"Dipartimenti di Eccellenza"},{"id":"https://openalex.org/G3482134774","display_name":null,"funder_award_id":"205602","funder_id":"https://openalex.org/F4320335367","funder_display_name":"National Center of Competence in Research Materials\u2019 Revolution: Computational Design and Discovery of Novel Materials"},{"id":"https://openalex.org/G447281087","display_name":"NCCR MARVEL: Materials\u2019 Revolution: Computational Design and Discovery of Novel Materials (phase III)","funder_award_id":"205602","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7658037602","display_name":null,"funder_award_id":"205602","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306736","display_name":"International Council of Shopping Centers Educational Foundation","ror":"https://ror.org/04wehyc39"},{"id":"https://openalex.org/F4320307762","display_name":"International Business Machines Corporation","ror":"https://ror.org/05hh8d621"},{"id":"https://openalex.org/F4320317295","display_name":"Dipartimenti di Eccellenza","ror":null},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320335367","display_name":"National Center of Competence in Research Materials\u2019 Revolution: Computational Design and Discovery of Novel Materials","ror":"https://ror.org/00vvxbe27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":105,"referenced_works":["https://openalex.org/W1483289337","https://openalex.org/W1529624360","https://openalex.org/W1538812421","https://openalex.org/W1580989833","https://openalex.org/W1621265897","https://openalex.org/W1658890454","https://openalex.org/W1922629554","https://openalex.org/W1965288006","https://openalex.org/W1973309660","https://openalex.org/W1974645033","https://openalex.org/W1976462214","https://openalex.org/W1976879565","https://openalex.org/W1983894121","https://openalex.org/W1990455780","https://openalex.org/W2000359198","https://openalex.org/W2002280650","https://openalex.org/W2003656163","https://openalex.org/W2016407890","https://openalex.org/W2017474131","https://openalex.org/W2019692968","https://openalex.org/W2033368244","https://openalex.org/W2036463035","https://openalex.org/W2037768897","https://openalex.org/W2065768518","https://openalex.org/W2066972040","https://openalex.org/W2088468720","https://openalex.org/W2093774709","https://openalex.org/W2094888156","https://openalex.org/W2118564312","https://openalex.org/W2122816100","https://openalex.org/W2124289529","https://openalex.org/W2135273380","https://openalex.org/W2136035771","https://openalex.org/W2154815292","https://openalex.org/W2155179619","https://openalex.org/W2161685427","https://openalex.org/W2163846795","https://openalex.org/W2257937122","https://openalex.org/W2258593728","https://openalex.org/W2327599667","https://openalex.org/W2417052039","https://openalex.org/W2419175238","https://openalex.org/W2488305810","https://openalex.org/W2558921197","https://openalex.org/W2755255888","https://openalex.org/W2763400602","https://openalex.org/W2794444783","https://openalex.org/W2904511170","https://openalex.org/W2940782017","https://openalex.org/W2955598323","https://openalex.org/W2978542215","https://openalex.org/W2995151820","https://openalex.org/W2999053080","https://openalex.org/W2999682805","https://openalex.org/W3002596439","https://openalex.org/W3005527956","https://openalex.org/W3006823398","https://openalex.org/W3012082490","https://openalex.org/W3033312235","https://openalex.org/W3039469968","https://openalex.org/W3045458491","https://openalex.org/W3045606049","https://openalex.org/W3046922941","https://openalex.org/W3080410339","https://openalex.org/W3083574950","https://openalex.org/W3098351521","https://openalex.org/W3103872322","https://openalex.org/W3107968153","https://openalex.org/W3115562073","https://openalex.org/W3117469420","https://openalex.org/W3119402126","https://openalex.org/W3129559974","https://openalex.org/W3132125399","https://openalex.org/W3135926897","https://openalex.org/W3144849350","https://openalex.org/W3152694690","https://openalex.org/W3157653732","https://openalex.org/W3167946837","https://openalex.org/W3180039530","https://openalex.org/W3206304482","https://openalex.org/W3213604535","https://openalex.org/W3214892380","https://openalex.org/W3217341968","https://openalex.org/W4221140012","https://openalex.org/W4237881409","https://openalex.org/W4284976704","https://openalex.org/W4286892624","https://openalex.org/W4288051764","https://openalex.org/W4312058297","https://openalex.org/W4313366897","https://openalex.org/W4362522271","https://openalex.org/W4365451604","https://openalex.org/W4367841521","https://openalex.org/W4379056593","https://openalex.org/W4380627387","https://openalex.org/W4385708209","https://openalex.org/W4387769387","https://openalex.org/W4388453633","https://openalex.org/W4388628525","https://openalex.org/W4389783315","https://openalex.org/W4390691840","https://openalex.org/W4391463116","https://openalex.org/W4399383176","https://openalex.org/W4400080275","https://openalex.org/W4401331420"],"related_works":["https://openalex.org/W7162035559","https://openalex.org/W3039469968","https://openalex.org/W7106096581","https://openalex.org/W2904368027","https://openalex.org/W7165044814","https://openalex.org/W3038950000","https://openalex.org/W7034430288","https://openalex.org/W7166577970","https://openalex.org/W2971476734","https://openalex.org/W4391988034"],"abstract_inverted_index":{"Hybrid":[0],"tensor":[1,78],"networks":[2,79],"(hTNs)":[3],"offer":[4],"a":[5,68,88],"promising":[6,91],"solution":[7],"for":[8],"encoding":[9],"variational":[10],"quantum":[11,22],"states":[12],"beyond":[13],"the":[14,37,41,52,102,106,110,131],"capabilities":[15],"of":[16,33,39,43,54,90],"efficient":[17],"classical":[18,124,132],"methods":[19],"or":[20],"noisy":[21],"computers":[23],"alone.":[24],"However,":[25],"their":[26],"practical":[27],"usefulness":[28],"and":[29,51,84,86,109],"many":[30],"operational":[31],"aspects":[32],"hTN-based":[34],"algorithms,":[35],"like":[36],"optimization":[38],"hTNs,":[40],"generalization":[42],"standard":[44],"contraction":[45],"rules":[46],"to":[47,71],"an":[48],"hybrid":[49,76],"setting,":[50],"design":[53],"application-oriented":[55],"architectures":[56],"have":[57],"not":[58],"been":[59],"thoroughly":[60],"investigated":[61],"yet.":[62],"In":[63,113],"this":[64],"work,":[65],"we":[66,116],"introduce":[67],"novel":[69],"algorithm":[70],"perform":[72],"ground-state":[73],"optimizations":[74],"with":[75,126],"tree":[77],"(hTTNs),":[80],"discussing":[81],"its":[82],"advantages":[83],"roadblocks,":[85],"identifying":[87],"set":[89],"applications.":[92],"We":[93],"benchmark":[94],"our":[95],"approach":[96],"on":[97],"two":[98],"paradigmatic":[99],"models,":[100],"namely":[101],"Ising":[103],"model":[104],"at":[105],"critical":[107],"point":[108],"Toric-code":[111],"Hamiltonian.":[112],"both":[114],"cases,":[115],"successfully":[117],"demonstrate":[118],"that":[119],"hTTNs":[120],"can":[121],"improve":[122],"upon":[123],"equivalents":[125],"equal":[127],"bond":[128],"dimension":[129],"in":[130],"part.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7}],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2025-01-30T00:00:00"}