{"id":"https://openalex.org/W4417107482","doi":"https://doi.org/10.1007/s11128-026-05072-w","title":"Progress in the study of the (non)existence of genuinely unextendible product bases","display_name":"Progress in the study of the (non)existence of genuinely unextendible product bases","publication_year":2026,"publication_date":"2026-02-13","ids":{"openalex":"https://openalex.org/W4417107482","doi":"https://doi.org/10.1007/s11128-026-05072-w"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-026-05072-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-026-05072-w","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2509.26135","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016357872","display_name":"Maciej Demianowicz","orcid":"https://orcid.org/0000-0001-7018-582X"},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Maciej Demianowicz","raw_affiliation_strings":["Institute of Physics and Applied Computer Science, Faculty of Applied Physics and Mathematics, Gda\u0144sk University of Technology, Narutowicza 11/12, 80-233, Gda\u0144sk, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics and Applied Computer Science, Faculty of Applied Physics and Mathematics, Gda\u0144sk University of Technology, Narutowicza 11/12, 80-233, Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016357872"],"corresponding_institution_ids":["https://openalex.org/I169333911"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11973882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9178000092506409,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9178000092506409,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.012000000104308128,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.010099999606609344,"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/orthogonality","display_name":"Orthogonality","score":0.8093000054359436},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.7243000268936157},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.666700005531311},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.603600025177002},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5317000150680542},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.4343999922275543},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4341999888420105}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.8093000054359436},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.7243000268936157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.701200008392334},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.666700005531311},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6312000155448914},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.603600025177002},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5317000150680542},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.4343999922275543},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4341999888420105},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3950999975204468},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3677999973297119},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C58193220","wikidata":"https://www.wikidata.org/wiki/Q1778193","display_name":"Direct product","level":2,"score":0.3125},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.2669000029563904}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11128-026-05072-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-026-05072-w","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2509.26135","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.26135","pdf_url":"https://arxiv.org/pdf/2509.26135","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,"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:doi:10.48550/arxiv.2509.26135","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},{"id":"doi:10.48550/arxiv.2509.26135","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2509.26135","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,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2509.26135","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.26135","pdf_url":"https://arxiv.org/pdf/2509.26135","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,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4417107482.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W2148576428","https://openalex.org/W2028679634","https://openalex.org/W2003989474","https://openalex.org/W1974293884","https://openalex.org/W2102524805","https://openalex.org/W2066221344","https://openalex.org/W3217121547","https://openalex.org/W4396960042","https://openalex.org/W1967070690","https://openalex.org/W2033621353","https://openalex.org/W2753827843","https://openalex.org/W2076274342","https://openalex.org/W2048258323","https://openalex.org/W2784739606","https://openalex.org/W3024422547","https://openalex.org/W4313537323","https://openalex.org/W4404699049","https://openalex.org/W4307756849","https://openalex.org/W4400198798","https://openalex.org/W2776347567","https://openalex.org/W2951222560","https://openalex.org/W4288704607","https://openalex.org/W4386325618","https://openalex.org/W1988922918","https://openalex.org/W2084534072","https://openalex.org/W2040087419","https://openalex.org/W2138446095","https://openalex.org/W1968790908","https://openalex.org/W2018340769","https://openalex.org/W4313266499","https://openalex.org/W4403799665","https://openalex.org/W2925313525","https://openalex.org/W2966537414","https://openalex.org/W2995471633","https://openalex.org/W4319736121","https://openalex.org/W3215166315","https://openalex.org/W4232896595","https://openalex.org/W2175011670","https://openalex.org/W2036681141","https://openalex.org/W2078289947","https://openalex.org/W1579049696","https://openalex.org/W1973199140","https://openalex.org/W2085422823","https://openalex.org/W4253659528","https://openalex.org/W7084143583","https://openalex.org/W1990600049","https://openalex.org/W2161917555","https://openalex.org/W1553420678","https://openalex.org/W2150881673","https://openalex.org/W4307933731","https://openalex.org/W2101880654"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}