{"id":"https://openalex.org/W4367311552","doi":"https://doi.org/10.1007/s11128-023-03935-0","title":"A family of bipartite separability criteria based on Bloch representation of density matrices","display_name":"A family of bipartite separability criteria based on Bloch representation of density matrices","publication_year":2023,"publication_date":"2023-04-28","ids":{"openalex":"https://openalex.org/W4367311552","doi":"https://doi.org/10.1007/s11128-023-03935-0"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-023-03935-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-023-03935-0","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/2305.00460","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007359441","display_name":"Xue\u2010Na Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xue-Na Zhu","raw_affiliation_strings":["School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China"],"raw_orcid":"https://orcid.org/0000-0002-6035-7672","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China","institution_ids":["https://openalex.org/I182707071"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100378639","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0003-0451-3316"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["College of the Science, China University of Petroleum, Qingdao, 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of the Science, China University of Petroleum, Qingdao, 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004386335","display_name":"Gui Bao","orcid":"https://orcid.org/0000-0001-7766-7012"},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gui Bao","raw_affiliation_strings":["School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China","institution_ids":["https://openalex.org/I182707071"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100351382","display_name":"Ming Li","orcid":"https://orcid.org/0000-0002-1218-2804"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Li","raw_affiliation_strings":["College of the Science, China University of Petroleum, Qingdao, 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of the Science, China University of Petroleum, Qingdao, 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060732737","display_name":"Shu\u2010Qian Shen","orcid":"https://orcid.org/0000-0002-3768-6566"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu-Qian Shen","raw_affiliation_strings":["College of the Science, China University of Petroleum, Qingdao, 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of the Science, China University of Petroleum, Qingdao, 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087659431","display_name":"Shao-Ming Fei","orcid":"https://orcid.org/0000-0003-2412-8626"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN","DE"],"is_corresponding":false,"raw_author_name":"Shao-Ming Fei","raw_affiliation_strings":["Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany","School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210119712","https://openalex.org/I4210091327"]},{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5007359441"],"corresponding_institution_ids":["https://openalex.org/I182707071"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":1.0225,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8044796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"5","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":0.9998999834060669,"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":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991999864578247,"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":0.9966999888420105,"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/bipartite-graph","display_name":"Bipartite graph","score":0.8428234457969666},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.7477267980575562},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7276926040649414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5628104209899902},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5098034739494324},{"id":"https://openalex.org/keywords/density-matrix","display_name":"Density matrix","score":0.5011711120605469},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.48827505111694336},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.46616679430007935},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.42284464836120605},{"id":"https://openalex.org/keywords/bloch-sphere","display_name":"Bloch sphere","score":0.4147588014602661},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3958038091659546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3814663887023926},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36356282234191895},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3522007167339325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32047605514526367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27240413427352905},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.17762550711631775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17053630948066711},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08726468682289124}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8428234457969666},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7477267980575562},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7276926040649414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5628104209899902},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5098034739494324},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.5011711120605469},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48827505111694336},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.46616679430007935},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.42284464836120605},{"id":"https://openalex.org/C136277988","wikidata":"https://www.wikidata.org/wiki/Q884593","display_name":"Bloch sphere","level":4,"score":0.4147588014602661},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3958038091659546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3814663887023926},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36356282234191895},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3522007167339325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32047605514526367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27240413427352905},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.17762550711631775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17053630948066711},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08726468682289124},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11128-023-03935-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-023-03935-0","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:2305.00460","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00460","pdf_url":"https://arxiv.org/pdf/2305.00460","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":"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2305.00460","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00460","pdf_url":"https://arxiv.org/pdf/2305.00460","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":"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":[{"id":"https://openalex.org/G4012849871","display_name":null,"funder_award_id":"ZR2021LLZ002","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4530997659","display_name":null,"funder_award_id":"12075159","funder_id":"https://openalex.org/F4320333688","funder_display_name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China"},{"id":"https://openalex.org/G604181186","display_name":null,"funder_award_id":"12075159","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7206151321","display_name":null,"funder_award_id":"12171044","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8542704358","display_name":null,"funder_award_id":"SIQSE202001","funder_id":"https://openalex.org/F4320327605","funder_display_name":"Southern University of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320310931","display_name":"Capital Normal University","ror":"https://ror.org/005edt527"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320327605","display_name":"Southern University of Science and Technology","ror":null},{"id":"https://openalex.org/F4320333688","display_name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4367311552.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1605098109","https://openalex.org/W1964728833","https://openalex.org/W1989317009","https://openalex.org/W1995799509","https://openalex.org/W2034920898","https://openalex.org/W2043671058","https://openalex.org/W2057104066","https://openalex.org/W2074848738","https://openalex.org/W2089501140","https://openalex.org/W2090807706","https://openalex.org/W2096089357","https://openalex.org/W2103713333","https://openalex.org/W2132578652","https://openalex.org/W2144126354","https://openalex.org/W2473272119","https://openalex.org/W2764347725","https://openalex.org/W2794648121","https://openalex.org/W2802198087","https://openalex.org/W2952721131","https://openalex.org/W3002609932","https://openalex.org/W3101325319","https://openalex.org/W3102664209","https://openalex.org/W3110655565","https://openalex.org/W3122850579"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2999799752","https://openalex.org/W2950018025","https://openalex.org/W4312450331","https://openalex.org/W2945704288","https://openalex.org/W4390280424","https://openalex.org/W2065175659"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2023-04-29T00:00:00"}
