{"id":"https://openalex.org/W2056321581","doi":"https://doi.org/10.1007/s11080-007-9026-6","title":"Rotationally Invariant Multipartite States","display_name":"Rotationally Invariant Multipartite States","publication_year":2007,"publication_date":"2007-03-01","ids":{"openalex":"https://openalex.org/W2056321581","doi":"https://doi.org/10.1007/s11080-007-9026-6","mag":"2056321581"},"language":"en","primary_location":{"id":"doi:10.1007/s11080-007-9026-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11080-007-9026-6","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://repozytorium.umk.pl/bitstreams/dd6b9dda-d03f-4edd-85ba-fe91f2c99ad8/download","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045294338","display_name":"Dariusz Chru\u015bci\u0144ski","orcid":"https://orcid.org/0000-0002-6582-6730"},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]},{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Dariusz Chru\u015bci\u0144ski","raw_affiliation_strings":["Institute of Physics, Nicolaus Copernicus University, Grudzia\u00b8dzka 5/7, 87\u2013100 Toru\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, Nicolaus Copernicus University, Grudzia\u00b8dzka 5/7, 87\u2013100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I4210086947","https://openalex.org/I3019271933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056187445","display_name":"Andrzej Kossakowski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Andrzej Kossakowski","raw_affiliation_strings":["Institute of Physics, Nicolaus Copernicus University, Grudzia\u00b8dzka 5/7, 87\u2013100 Toru\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, Nicolaus Copernicus University, Grudzia\u00b8dzka 5/7, 87\u2013100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I4210086947","https://openalex.org/I3019271933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045294338"],"corresponding_institution_ids":["https://openalex.org/I3019271933","https://openalex.org/I4210086947"],"apc_list":null,"apc_paid":null,"fwci":2.4182,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90002085,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"14","issue":"01","first_page":"25","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9993000030517578,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9993000030517578,"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/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.9442803859710693},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.8751323223114014},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7155441641807556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.558179497718811},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.49638277292251587},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36572277545928955},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.35959386825561523},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34978151321411133},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3303631544113159},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3296281397342682},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.23486819863319397},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.11685457825660706},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07610389590263367},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.048370420932769775},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.04778340458869934}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.9442803859710693},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.8751323223114014},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7155441641807556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.558179497718811},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.49638277292251587},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36572277545928955},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.35959386825561523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34978151321411133},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3303631544113159},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3296281397342682},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.23486819863319397},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.11685457825660706},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07610389590263367},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.048370420932769775},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.04778340458869934},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11080-007-9026-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11080-007-9026-6","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:repozytorium.umk.pl:item/199","is_oa":true,"landing_page_url":"http://repozytorium.umk.pl/handle/item/199","pdf_url":"https://repozytorium.umk.pl/bitstreams/dd6b9dda-d03f-4edd-85ba-fe91f2c99ad8/download","source":null,"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.252.2357","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.2357","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/quant-ph/0606181v2.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:repozytorium.umk.pl:item/199","is_oa":true,"landing_page_url":"http://repozytorium.umk.pl/handle/item/199","pdf_url":"https://repozytorium.umk.pl/bitstreams/dd6b9dda-d03f-4edd-85ba-fe91f2c99ad8/download","source":null,"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2056321581.pdf","grobid_xml":"https://content.openalex.org/works/W2056321581.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1631356911","https://openalex.org/W1933460799","https://openalex.org/W1971261561","https://openalex.org/W1980450508","https://openalex.org/W1983911066","https://openalex.org/W1993828178","https://openalex.org/W2000407553","https://openalex.org/W2002598418","https://openalex.org/W2003326660","https://openalex.org/W2005468889","https://openalex.org/W2011998251","https://openalex.org/W2015775929","https://openalex.org/W2035682720","https://openalex.org/W2048680711","https://openalex.org/W2050146474","https://openalex.org/W2052598678","https://openalex.org/W2056162638","https://openalex.org/W2062292260","https://openalex.org/W2090421743","https://openalex.org/W2111145493","https://openalex.org/W2156500023","https://openalex.org/W2764347725","https://openalex.org/W2801663647","https://openalex.org/W3216958049","https://openalex.org/W4230880638"],"related_works":["https://openalex.org/W2035682720","https://openalex.org/W2952850764","https://openalex.org/W2056321581","https://openalex.org/W2091158890","https://openalex.org/W2262568608","https://openalex.org/W2090421743","https://openalex.org/W2050426599","https://openalex.org/W2277771903","https://openalex.org/W2082458642","https://openalex.org/W4245609766"],"abstract_inverted_index":{"We":[0,43],"construct":[1],"a":[2],"class":[3],"of":[4,16,28,47],"multipartite":[5,41,48],"states":[6,15,30],"possessing":[7],"rotational":[8],"SO":[9,49],"(3)":[10,50],"symmetry":[11],"\u2014":[12],"these":[13],"are":[14],"K":[17,22],"spin-j":[18,23],"A":[19],"particles":[20],"and":[21,39,55],"B":[24],"particles.":[25],"The":[26],"construction":[27],"symmetric":[29,51],"follows":[31],"our":[32],"two":[33],"recent":[34],"papers":[35],"devoted":[36],"to":[37],"unitary":[38],"orthogonal":[40],"symmetry.":[42],"study":[44],"basic":[45],"properties":[46],"states:":[52],"separability":[53],"criteria":[54],"multi-PPT":[56],"conditions.":[57]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}