{"id":"https://openalex.org/W4404852232","doi":"https://doi.org/10.1007/s40509-024-00351-6","title":"Equilibrium propagation: the quantum and the thermal cases","display_name":"Equilibrium propagation: the quantum and the thermal cases","publication_year":2024,"publication_date":"2024-11-29","ids":{"openalex":"https://openalex.org/W4404852232","doi":"https://doi.org/10.1007/s40509-024-00351-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40509-024-00351-6","doi":"https://doi.org/10.1007/s40509-024-00351-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40509-024-00351-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210173209","display_name":"Quantum Studies Mathematics and Foundations","issn_l":"2196-5609","issn":["2196-5609","2196-5617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Studies: Mathematics and Foundations","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2405.08467","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024306150","display_name":"Serge Massar","orcid":"https://orcid.org/0000-0002-4381-2485","observed_orcids":["https://orcid.org/0000-0002-4381-2485"]},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Serge Massar","raw_affiliation_strings":["Laboratoire d\u2019Information Quantique CP224, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050, Bruxelles, Belgium","Laboratoire d\u2019Information Quantique CP224, Universit\u00e9 libre de Bruxelles (ULB), Bruxelles, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-4381-2485","affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Information Quantique CP224, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050, Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Laboratoire d\u2019Information Quantique CP224, Universit\u00e9 libre de Bruxelles (ULB), Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055940765","display_name":"Bortolo Matteo Mognetti","orcid":"https://orcid.org/0000-0002-7960-8224","observed_orcids":["https://orcid.org/0000-0002-7960-8224"]},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Bortolo Matteo Mognetti","raw_affiliation_strings":["Interdisciplinary Center for Nonlinear Phenomena and Complex Systems CP231, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050, Bruxelles, Belgium","Interdisciplinary Center for Nonlinear Phenomena and Complex Systems CP231, Universit\u00e9 libre de Bruxelles (ULB), Bruxelles, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-7960-8224","affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Nonlinear Phenomena and Complex Systems CP231, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050, Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Interdisciplinary Center for Nonlinear Phenomena and Complex Systems CP231, Universit\u00e9 libre de Bruxelles (ULB), Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024306150","https://openalex.org/A5055940765"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5879,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68493377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"12","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5336999893188477,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5336999893188477,"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/T10320","display_name":"Neural Networks and Applications","score":0.42089998722076416,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.006000000052154064,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equilibrium-propagation","display_name":"equilibrium propagation","score":1.0},{"id":"https://openalex.org/keywords/quantum-neural-networks","display_name":"quantum neural networks","score":0.8889999985694885},{"id":"https://openalex.org/keywords/energy-functional","display_name":"energy functional","score":0.4569999873638153},{"id":"https://openalex.org/keywords/ground-state","display_name":"ground state","score":0.5130000114440918},{"id":"https://openalex.org/keywords/eigenstates","display_name":"eigenstates","score":0.7459999918937683},{"id":"https://openalex.org/keywords/thermal-fluctuations","display_name":"thermal fluctuations","score":0.7170000076293945},{"id":"https://openalex.org/keywords/finite-temperature","display_name":"finite temperature","score":0.8130000233650208},{"id":"https://openalex.org/keywords/low-temperature-limit","display_name":"low-temperature limit","score":0.9459999799728394},{"id":"https://openalex.org/keywords/neural-network-training","display_name":"neural network training","score":0.7400000095367432},{"id":"https://openalex.org/keywords/variational-principle","display_name":"variational principle","score":0.46000000834465027}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5063034296035767},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4819507300853729},{"id":"https://openalex.org/C29310469","wikidata":"https://www.wikidata.org/wiki/Q3175122","display_name":"Thermal equilibrium","level":2,"score":0.41919419169425964},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38272932171821594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3805752694606781},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34426063299179077},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3396596908569336},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.17183652520179749}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s40509-024-00351-6","doi":"https://doi.org/10.1007/s40509-024-00351-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40509-024-00351-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210173209","display_name":"Quantum Studies Mathematics and Foundations","issn_l":"2196-5609","issn":["2196-5609","2196-5617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Studies: Mathematics and Foundations","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2405.08467","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.08467","pdf_url":"https://arxiv.org/pdf/2405.08467","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/386055","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/386055","pdf_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/386055/3/QTEquilProp.pdf","source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"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":"Quantum Studies: Mathematics and Foundations, 12 (1","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2405.08467","doi":"https://doi.org/10.48550/arxiv.2405.08467","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2405.08467","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2405.08467","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.08467","pdf_url":"https://arxiv.org/pdf/2405.08467","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","license_id":"https://openalex.org/licenses/cc-by","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/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404852232.pdf","grobid_xml":"https://content.openalex.org/works/W4404852232.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W22297218","https://openalex.org/W1492899839","https://openalex.org/W1971567680","https://openalex.org/W1990514347","https://openalex.org/W2007431958","https://openalex.org/W2112246162","https://openalex.org/W2134664762","https://openalex.org/W2527798464","https://openalex.org/W2564229214","https://openalex.org/W2737458193","https://openalex.org/W2786167326","https://openalex.org/W2794444783","https://openalex.org/W3004965358","https://openalex.org/W3034007088","https://openalex.org/W3097610849","https://openalex.org/W3132418758","https://openalex.org/W4206419394","https://openalex.org/W4296126438","https://openalex.org/W4391995627","https://openalex.org/W6600584258","https://openalex.org/W6731921716"],"related_works":["https://openalex.org/W4399399603","https://openalex.org/W4412492672","https://openalex.org/W4416236778","https://openalex.org/W4389072212","https://openalex.org/W4410595660","https://openalex.org/W4405444162","https://openalex.org/W3117926786","https://openalex.org/W2985932931","https://openalex.org/W3135360678","https://openalex.org/W7163995555"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2024-11-30T00:00:00"}