{"id":"https://openalex.org/W2067090076","doi":"https://doi.org/10.1142/s1230161214500103","title":"Convergence Conditions of Mixed States and their von Neumann Entropy in Continuous Quantum Measurements","display_name":"Convergence Conditions of Mixed States and their von Neumann Entropy in Continuous Quantum Measurements","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2067090076","doi":"https://doi.org/10.1142/s1230161214500103","mag":"2067090076"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161214500103","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161214500103","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021349457","display_name":"Toru Fuda","orcid":null},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Toru Fuda","raw_affiliation_strings":["Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021349457"],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10019584,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"04","first_page":"1450010","last_page":"1450010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9998000264167786,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9998000264167786,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9980000257492065,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9973999857902527,"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/von-neumann-entropy","display_name":"Von Neumann entropy","score":0.8021120429039001},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.7191411852836609},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6947330236434937},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.6563313603401184},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.6378383636474609},{"id":"https://openalex.org/keywords/quantum-mutual-information","display_name":"Quantum mutual information","score":0.5238328576087952},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5096762180328369},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.5060483813285828},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.4788617789745331},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4496746361255646},{"id":"https://openalex.org/keywords/quantum-zeno-effect","display_name":"Quantum Zeno effect","score":0.4404152035713196},{"id":"https://openalex.org/keywords/von-neumann-algebra","display_name":"Von Neumann algebra","score":0.42956796288490295},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.42460116744041443},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.4211133122444153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35479384660720825},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3482017517089844},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.2887243628501892},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.2569925785064697},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2440134584903717},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.2181781828403473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16744133830070496}],"concepts":[{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.8021120429039001},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.7191411852836609},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6947330236434937},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.6563313603401184},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6378383636474609},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.5238328576087952},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5096762180328369},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.5060483813285828},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.4788617789745331},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4496746361255646},{"id":"https://openalex.org/C194867977","wikidata":"https://www.wikidata.org/wiki/Q1897309","display_name":"Quantum Zeno effect","level":4,"score":0.4404152035713196},{"id":"https://openalex.org/C153408630","wikidata":"https://www.wikidata.org/wiki/Q1970172","display_name":"Von Neumann algebra","level":3,"score":0.42956796288490295},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.42460116744041443},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.4211133122444153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35479384660720825},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3482017517089844},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2887243628501892},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2569925785064697},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2440134584903717},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.2181781828403473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16744133830070496},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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:10.1142/s1230161214500103","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161214500103","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:CiteSeerX.psu:10.1.1.749.6377","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.749.6377","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/1312.2028.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W638991545","https://openalex.org/W1592958377","https://openalex.org/W1597680787","https://openalex.org/W1631356911","https://openalex.org/W1997165286","https://openalex.org/W2010138343","https://openalex.org/W2013879218","https://openalex.org/W2024823087","https://openalex.org/W2063669966","https://openalex.org/W2080919950","https://openalex.org/W2105918132","https://openalex.org/W2985153281","https://openalex.org/W3123777847","https://openalex.org/W3123792075","https://openalex.org/W4249637202"],"related_works":["https://openalex.org/W3103412666","https://openalex.org/W2083403685","https://openalex.org/W1977059108","https://openalex.org/W4388950697","https://openalex.org/W2037163827","https://openalex.org/W3101299541","https://openalex.org/W3101122513","https://openalex.org/W2344848379","https://openalex.org/W2951301255","https://openalex.org/W2140915619"],"abstract_inverted_index":{"By":[0],"carrying":[1],"out":[2],"appropriate":[3],"continuous":[4],"quantum":[5,31],"measurements":[6],"with":[7],"a":[8,13],"family":[9],"of":[10,42,57],"projection":[11],"operators,":[12],"unitary":[14],"channel":[15],"can":[16,66],"be":[17,67],"approximated":[18],"in":[19,23],"an":[20,37,43],"arbitrary":[21],"precision":[22],"the":[24,30,40,47,55,58,61],"trace":[25],"norm":[26],"sense.":[27],"In":[28,39],"particular,":[29],"Zeno":[32],"effect":[33],"is":[34,51],"described":[35],"as":[36,63],"application.":[38],"case":[41],"infinite":[44],"dimension,":[45],"although":[46],"von":[48],"Neumann":[49],"entropy":[50],"not":[52],"necessarily":[53],"continuous,":[54],"difference":[56],"entropies":[59],"between":[60],"states,":[62],"mentioned":[64],"above,":[65],"made":[68],"arbitrarily":[69],"small":[70],"under":[71],"some":[72],"conditions.":[73]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}