{"id":"https://openalex.org/W1584556772","doi":"https://doi.org/10.1007/s11128-015-1157-z","title":"Highly symmetric POVMs and their informational power","display_name":"Highly symmetric POVMs and their informational power","publication_year":2015,"publication_date":"2015-11-13","ids":{"openalex":"https://openalex.org/W1584556772","doi":"https://doi.org/10.1007/s11128-015-1157-z","mag":"1584556772"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-015-1157-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-015-1157-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-015-1157-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11128-015-1157-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063223788","display_name":"Wojciech S\u0142omczy\u0144ski","orcid":"https://orcid.org/0000-0003-2388-8930"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Wojciech S\u0142omczy\u0144ski","raw_affiliation_strings":["Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland","Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland 30-348#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland 30-348#TAB#","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029758010","display_name":"Anna Szymusiak","orcid":"https://orcid.org/0000-0002-8512-4947"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Anna Szymusiak","raw_affiliation_strings":["Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland","Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland 30-348#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics, Jagiellonian University, Krak\u00f3w, Poland 30-348#TAB#","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029758010","https://openalex.org/A5063223788"],"corresponding_institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":2.4394,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86928169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"15","issue":"1","first_page":"565","last_page":"606"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7640455961227417},{"id":"https://openalex.org/keywords/entropy-power-inequality","display_name":"Entropy power inequality","score":0.6168946027755737},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.579041063785553},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.5194913148880005},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.5151780843734741},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.4737575650215149},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.4733284115791321},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4493631422519684},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.4213927686214447},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.41956016421318054},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.415108859539032},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3717001676559448},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.30236250162124634},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.27382785081863403},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.2279219925403595},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2223142683506012},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.2152276337146759},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17756256461143494},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09005197882652283}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7640455961227417},{"id":"https://openalex.org/C320580","wikidata":"https://www.wikidata.org/wiki/Q5380810","display_name":"Entropy power inequality","level":5,"score":0.6168946027755737},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.579041063785553},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.5194913148880005},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.5151780843734741},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.4737575650215149},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.4733284115791321},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4493631422519684},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.4213927686214447},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.41956016421318054},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.415108859539032},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3717001676559448},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.30236250162124634},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.27382785081863403},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2279219925403595},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2223142683506012},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2152276337146759},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17756256461143494},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09005197882652283}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11128-015-1157-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-015-1157-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-015-1157-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/26727","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/26727","pdf_url":"http://ruj.uj.edu.pl/bitstreams/1ec593ca-fe1a-44e5-88cb-276d1b3fb821/download","source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"artyku\u0142 w czasopi\u015bmie"},{"id":"mag:1584556772","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1402.0375","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1402.0375","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1402.0375","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s11128-015-1157-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-015-1157-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-015-1157-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1584556772.pdf","grobid_xml":"https://content.openalex.org/works/W1584556772.grobid-xml"},"referenced_works_count":147,"referenced_works":["https://openalex.org/W122561819","https://openalex.org/W245337057","https://openalex.org/W360650912","https://openalex.org/W564736863","https://openalex.org/W644150847","https://openalex.org/W767138208","https://openalex.org/W1127821184","https://openalex.org/W1409569118","https://openalex.org/W1493863997","https://openalex.org/W1496462336","https://openalex.org/W1517698869","https://openalex.org/W1574861711","https://openalex.org/W1592698791","https://openalex.org/W1598690020","https://openalex.org/W1610274090","https://openalex.org/W1623408213","https://openalex.org/W1658554953","https://openalex.org/W1796936645","https://openalex.org/W1860134631","https://openalex.org/W1879145692","https://openalex.org/W1912497050","https://openalex.org/W1969501121","https://openalex.org/W1971947347","https://openalex.org/W1973820376","https://openalex.org/W1975446074","https://openalex.org/W1975641357","https://openalex.org/W1979769600","https://openalex.org/W1984117593","https://openalex.org/W1985491706","https://openalex.org/W1987230133","https://openalex.org/W1988565257","https://openalex.org/W1989253723","https://openalex.org/W1989633063","https://openalex.org/W1990573885","https://openalex.org/W1991851767","https://openalex.org/W1992513639","https://openalex.org/W1992847503","https://openalex.org/W1993765178","https://openalex.org/W1994804213","https://openalex.org/W1999473457","https://openalex.org/W1999488319","https://openalex.org/W2005136306","https://openalex.org/W2010108191","https://openalex.org/W2010449804","https://openalex.org/W2011986905","https://openalex.org/W2012978323","https://openalex.org/W2013341539","https://openalex.org/W2015206019","https://openalex.org/W2017435658","https://openalex.org/W2019519832","https://openalex.org/W2020486890","https://openalex.org/W2022688366","https://openalex.org/W2025644344","https://openalex.org/W2029259388","https://openalex.org/W2029734006","https://openalex.org/W2030072167","https://openalex.org/W2031661210","https://openalex.org/W2032947240","https://openalex.org/W2037814692","https://openalex.org/W2039312417","https://openalex.org/W2042457049","https://openalex.org/W2048251292","https://openalex.org/W2049766099","https://openalex.org/W2053958878","https://openalex.org/W2055281720","https://openalex.org/W2055807027","https://openalex.org/W2056052954","https://openalex.org/W2057233237","https://openalex.org/W2057357748","https://openalex.org/W2058913783","https://openalex.org/W2061349439","https://openalex.org/W2062799611","https://openalex.org/W2066353970","https://openalex.org/W2068719726","https://openalex.org/W2070464057","https://openalex.org/W2071912526","https://openalex.org/W2072329172","https://openalex.org/W2072667867","https://openalex.org/W2073834674","https://openalex.org/W2074242905","https://openalex.org/W2075138946","https://openalex.org/W2084997190","https://openalex.org/W2086452860","https://openalex.org/W2088325035","https://openalex.org/W2089249635","https://openalex.org/W2091804476","https://openalex.org/W2092716687","https://openalex.org/W2093277124","https://openalex.org/W2093729867","https://openalex.org/W2094090098","https://openalex.org/W2094243554","https://openalex.org/W2099666213","https://openalex.org/W2108371686","https://openalex.org/W2114168600","https://openalex.org/W2115549178","https://openalex.org/W2119196296","https://openalex.org/W2124488553","https://openalex.org/W2124714273","https://openalex.org/W2135650458","https://openalex.org/W2139732988","https://openalex.org/W2139968887","https://openalex.org/W2141224437","https://openalex.org/W2144424682","https://openalex.org/W2149570649","https://openalex.org/W2164690070","https://openalex.org/W2168583535","https://openalex.org/W2171944046","https://openalex.org/W2182304189","https://openalex.org/W2204670776","https://openalex.org/W2325602005","https://openalex.org/W2332809074","https://openalex.org/W2332838444","https://openalex.org/W2505308072","https://openalex.org/W2614403044","https://openalex.org/W2798943694","https://openalex.org/W2962752549","https://openalex.org/W2963053954","https://openalex.org/W3098683797","https://openalex.org/W3099753513","https://openalex.org/W3099896948","https://openalex.org/W3100072452","https://openalex.org/W3100212445","https://openalex.org/W3100954629","https://openalex.org/W3101273447","https://openalex.org/W3101593975","https://openalex.org/W3103064417","https://openalex.org/W3103274847","https://openalex.org/W3103496604","https://openalex.org/W3103630501","https://openalex.org/W3104609897","https://openalex.org/W3105593544","https://openalex.org/W3106019570","https://openalex.org/W3106284467","https://openalex.org/W3150684574","https://openalex.org/W3213943817","https://openalex.org/W4229673239","https://openalex.org/W4233212321","https://openalex.org/W4234308660","https://openalex.org/W4244616930","https://openalex.org/W4249395363","https://openalex.org/W4250598149","https://openalex.org/W4255213956","https://openalex.org/W4255963664","https://openalex.org/W4292058084","https://openalex.org/W4293191855","https://openalex.org/W4301866048","https://openalex.org/W6601667473"],"related_works":["https://openalex.org/W3021192621","https://openalex.org/W3098312719","https://openalex.org/W2119196296","https://openalex.org/W3096333061","https://openalex.org/W2672841849","https://openalex.org/W2951570284","https://openalex.org/W3105530000","https://openalex.org/W1919515631","https://openalex.org/W3184202870","https://openalex.org/W2015400300","https://openalex.org/W2040203349","https://openalex.org/W3183418456","https://openalex.org/W3103812487","https://openalex.org/W43515042","https://openalex.org/W2114168600","https://openalex.org/W1996095627","https://openalex.org/W2020559278","https://openalex.org/W3104445295","https://openalex.org/W3100328769","https://openalex.org/W2479993875"],"abstract_inverted_index":{"We":[0],"discuss":[1],"the":[2,5,14,17,22,30,35,43,63,69,80,88,97,100,109,113,142,146],"dependence":[3],"of":[4,8,16,32,45,87,103,115],"Shannon":[6],"entropy":[7,64,71,136,149],"normalized":[9],"finite":[10],"rank-1":[11],"POVMs":[12,48],"on":[13],"choice":[15],"input":[18,81],"state,":[19],"looking":[20],"for":[21,106,118,129],"states":[23,89],"that":[24,62],"minimize":[25],"this":[26,58],"quantity.":[27],"To":[28],"distinguish":[29],"class":[31],"measurements":[33],"where":[34],"problem":[36],"can":[37,121],"be":[38,123],"solved":[39],"analytically,":[40],"we":[41,60],"introduce":[42],"notion":[44],"highly":[46],"symmetric":[47],"and":[49,67,77,112,128,138,145],"classify":[50],"them":[51],"in":[52,96,125],"dimension":[53],"2":[54],"(for":[55],"qubits).":[56],"In":[57],"case,":[59],"prove":[61],"is":[65,74,83],"minimal,":[66],"hence,":[68],"relative":[70],"(informational":[72],"power)":[73],"maximal,":[75],"if":[76,79],"only":[78],"state":[82],"orthogonal":[84],"to":[85],"one":[86],"constituting":[90],"a":[91],"POVM.":[92],"The":[93,133],"method":[94],"used":[95],"proof,":[98],"employing":[99],"Michel":[101],"theory":[102],"critical":[104],"points":[105],"group":[107],"action,":[108],"Hermite":[110],"interpolation,":[111],"structure":[114],"invariant":[116],"polynomials":[117],"unitary\u2013antiunitary":[119],"groups,":[120],"also":[122],"applied":[124],"higher":[126],"dimensions":[127],"other":[130],"entropy-like":[131],"functions.":[132],"links":[134],"between":[135],"minimization":[137],"entropic":[139],"uncertainty":[140],"relations,":[141],"Wehrl":[143],"entropy,":[144],"quantum":[147],"dynamical":[148],"are":[150],"described.":[151]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}