{"id":"https://openalex.org/W3008032787","doi":"https://doi.org/10.1007/s11128-021-03193-y","title":"The decompositions of Werner and isotropic states","display_name":"The decompositions of Werner and isotropic states","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W3008032787","doi":"https://doi.org/10.1007/s11128-021-03193-y","mag":"3008032787"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-021-03193-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-021-03193-y","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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.00694","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ma-Cheng Yang","orcid":null},"institutions":[{"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":true,"raw_author_name":"Ma-Cheng Yang","raw_affiliation_strings":["School of Physical Sciences, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China"],"affiliations":[{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jun-Li Li","orcid":"https://orcid.org/0000-0003-4742-8090"},"institutions":[{"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":"Jun-Li Li","raw_affiliation_strings":["Center of Materials Science and Optoelectronics Engineering & CMSOT, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China"],"affiliations":[{"raw_affiliation_string":"Center of Materials Science and Optoelectronics Engineering & CMSOT, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cong-Feng Qiao","orcid":null},"institutions":[{"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":"Cong-Feng Qiao","raw_affiliation_strings":["Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","School of Physical Sciences, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.2799,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60933511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.593500018119812,"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":0.593500018119812,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.23880000412464142,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.05999999865889549,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.8349999785423279},{"id":"https://openalex.org/keywords/separable-state","display_name":"Separable state","score":0.7402999997138977},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7337999939918518},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6348000168800354},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.5785999894142151},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5672000050544739},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.544700026512146},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5419999957084656}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.8349999785423279},{"id":"https://openalex.org/C55795843","wikidata":"https://www.wikidata.org/wiki/Q614178","display_name":"Separable state","level":5,"score":0.7402999997138977},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7337999939918518},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6348000168800354},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.5785999894142151},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5672000050544739},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.544700026512146},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5419999957084656},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5248000025749207},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4765999913215637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47530001401901245},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.41839998960494995},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35339999198913574},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3467000126838684},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34049999713897705},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3368000090122223},{"id":"https://openalex.org/C28799612","wikidata":"https://www.wikidata.org/wiki/Q685437","display_name":"Hilbert transform","level":3,"score":0.3052999973297119},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.29339998960494995},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2881999909877777},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2777000069618225},{"id":"https://openalex.org/C152026323","wikidata":"https://www.wikidata.org/wiki/Q1032070","display_name":"Coherent states","level":3,"score":0.2599000036716461},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2515999972820282}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11128-021-03193-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-021-03193-y","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:2003.00694","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.00694","pdf_url":"https://arxiv.org/pdf/2003.00694","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.00694","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.00694","pdf_url":"https://arxiv.org/pdf/2003.00694","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2885435843","display_name":null,"funder_award_id":"11975236","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1709784975","https://openalex.org/W1989301452","https://openalex.org/W2000256072","https://openalex.org/W2000407553","https://openalex.org/W2007319630","https://openalex.org/W2010067894","https://openalex.org/W2010214996","https://openalex.org/W2011208902","https://openalex.org/W2012719830","https://openalex.org/W2039004790","https://openalex.org/W2060887031","https://openalex.org/W2062292260","https://openalex.org/W2068343535","https://openalex.org/W2089110262","https://openalex.org/W2092927912","https://openalex.org/W2094366212","https://openalex.org/W2513299842","https://openalex.org/W2608678408","https://openalex.org/W2734631187","https://openalex.org/W2763590252","https://openalex.org/W2766036987","https://openalex.org/W2962709742","https://openalex.org/W3037737784"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2020-03-06T00:00:00"}