{"id":"https://openalex.org/W2747096396","doi":"https://doi.org/10.1007/s11128-017-1685-9","title":"Quantum entropy of non-Hermitian entangled systems","display_name":"Quantum entropy of non-Hermitian entangled systems","publication_year":2017,"publication_date":"2017-08-17","ids":{"openalex":"https://openalex.org/W2747096396","doi":"https://doi.org/10.1007/s11128-017-1685-9","mag":"2747096396"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-017-1685-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-017-1685-9","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030584853","display_name":"Shiyang Zhang","orcid":"https://orcid.org/0000-0001-6229-3652"},"institutions":[{"id":"https://openalex.org/I4210108141","display_name":"Ministry of Education","ror":"https://ror.org/01hw7wf62","country_code":"IR","type":"government","lineage":["https://openalex.org/I4210108141"]},{"id":"https://openalex.org/I916048824","display_name":"Hunan First Normal University","ror":"https://ror.org/00s9d1a36","country_code":"CN","type":"education","lineage":["https://openalex.org/I916048824"]}],"countries":["CN","IR"],"is_corresponding":true,"raw_author_name":"Shi-Yang Zhang","raw_affiliation_strings":["Hunan First Normal University, Changsha, 410205, People\u2019s Republic of China","Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China","Hunan First Normal University, Changsha, 410205, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Hunan First Normal University, Changsha, 410205, People\u2019s Republic of China","institution_ids":["https://openalex.org/I916048824"]},{"raw_affiliation_string":"Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210108141"]},{"raw_affiliation_string":"Hunan First Normal University, Changsha, 410205, People's Republic of China","institution_ids":["https://openalex.org/I916048824"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110648439","display_name":"Mao-Fa Fang","orcid":"https://orcid.org/0000-0003-2321-1321"},"institutions":[{"id":"https://openalex.org/I4210108141","display_name":"Ministry of Education","ror":"https://ror.org/01hw7wf62","country_code":"IR","type":"government","lineage":["https://openalex.org/I4210108141"]},{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN","IR"],"is_corresponding":false,"raw_author_name":"Mao-Fa Fang","raw_affiliation_strings":["Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China","Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210108141"]},{"raw_affiliation_string":"Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People's Republic of China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100756922","display_name":"Lan Xu","orcid":"https://orcid.org/0000-0002-6542-0036"},"institutions":[{"id":"https://openalex.org/I916048824","display_name":"Hunan First Normal University","ror":"https://ror.org/00s9d1a36","country_code":"CN","type":"education","lineage":["https://openalex.org/I916048824"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lan Xu","raw_affiliation_strings":["Hunan First Normal University, Changsha, 410205, People\u2019s Republic of China","Hunan First Normal University, Changsha, 410205, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Hunan First Normal University, Changsha, 410205, People\u2019s Republic of China","institution_ids":["https://openalex.org/I916048824"]},{"raw_affiliation_string":"Hunan First Normal University, Changsha, 410205, People's Republic of China","institution_ids":["https://openalex.org/I916048824"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030584853"],"corresponding_institution_ids":["https://openalex.org/I4210108141","https://openalex.org/I916048824"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":1.2999,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.80966286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"10","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9998999834060669,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9864000082015991,"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/hermitian-matrix","display_name":"Hermitian matrix","score":0.789414644241333},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.5782658457756042},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.555769145488739},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.48484909534454346},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.4805605709552765},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4802411198616028},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.475908100605011},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.47552207112312317},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47227510809898376},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46310871839523315},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.4482729434967041},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.44365596771240234},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4391748607158661},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35699573159217834},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.35438966751098633}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.789414644241333},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.5782658457756042},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.555769145488739},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.48484909534454346},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4805605709552765},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4802411198616028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.475908100605011},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.47552207112312317},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47227510809898376},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46310871839523315},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.4482729434967041},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.44365596771240234},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4391748607158661},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35699573159217834},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.35438966751098633},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-017-1685-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-017-1685-9","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5354401615","display_name":null,"funder_award_id":"2017JJ3046","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8170905203","display_name":null,"funder_award_id":"11374096","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"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1531935167","https://openalex.org/W1578322733","https://openalex.org/W1631356911","https://openalex.org/W1784323277","https://openalex.org/W1792177208","https://openalex.org/W1911969426","https://openalex.org/W1967948418","https://openalex.org/W1972082874","https://openalex.org/W1989637994","https://openalex.org/W1997323544","https://openalex.org/W2010599738","https://openalex.org/W2033909248","https://openalex.org/W2033963235","https://openalex.org/W2039255727","https://openalex.org/W2040362900","https://openalex.org/W2058913783","https://openalex.org/W2061711994","https://openalex.org/W2067123857","https://openalex.org/W2069672988","https://openalex.org/W2075138946","https://openalex.org/W2084864304","https://openalex.org/W2084903764","https://openalex.org/W2092238315","https://openalex.org/W2117897634","https://openalex.org/W2140726841","https://openalex.org/W2152074534","https://openalex.org/W2168215626","https://openalex.org/W2302083102","https://openalex.org/W2487512313","https://openalex.org/W2563598896","https://openalex.org/W2739884744","https://openalex.org/W2764347725","https://openalex.org/W3037737784","https://openalex.org/W3098248904","https://openalex.org/W3100599776","https://openalex.org/W3101386734","https://openalex.org/W3104362105","https://openalex.org/W3104668646"],"related_works":["https://openalex.org/W3123817353","https://openalex.org/W2185581801","https://openalex.org/W2097862335","https://openalex.org/W2069758385","https://openalex.org/W2613415550","https://openalex.org/W2313837655","https://openalex.org/W2780970334","https://openalex.org/W3160505967","https://openalex.org/W2024254517","https://openalex.org/W2769448356"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}
