{"id":"https://openalex.org/W3130059149","doi":"https://doi.org/10.3390/e23030334","title":"From R\u00e9nyi Entropy Power to Information Scan of Quantum States","display_name":"From R\u00e9nyi Entropy Power to Information Scan of Quantum States","publication_year":2021,"publication_date":"2021-03-12","ids":{"openalex":"https://openalex.org/W3130059149","doi":"https://doi.org/10.3390/e23030334","mag":"3130059149","pmid":"https://pubmed.ncbi.nlm.nih.gov/33809011"},"language":"en","primary_location":{"id":"doi:10.3390/e23030334","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23030334","pdf_url":"https://www.mdpi.com/1099-4300/23/3/334/pdf?version=1616122209","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/3/334/pdf?version=1616122209","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055596286","display_name":"Petr Jizba","orcid":"https://orcid.org/0000-0002-7940-204X"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Petr Jizba","raw_affiliation_strings":["FNSPE, Czech Technical University in Prague, B\u0159ehov\u00e1 7, 115 19 Praha 1, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-7940-204X","affiliations":[{"raw_affiliation_string":"FNSPE, Czech Technical University in Prague, B\u0159ehov\u00e1 7, 115 19 Praha 1, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062134456","display_name":"Jacob Dunningham","orcid":"https://orcid.org/0000-0001-7976-3278"},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jacob Dunningham","raw_affiliation_strings":["Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UK"],"raw_orcid":"https://orcid.org/0000-0001-7976-3278","affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UK","institution_ids":["https://openalex.org/I162608824"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029126716","display_name":"Martin Prok\u0161","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Martin Prok\u0161","raw_affiliation_strings":["FNSPE, Czech Technical University in Prague, B\u0159ehov\u00e1 7, 115 19 Praha 1, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FNSPE, Czech Technical University in Prague, B\u0159ehov\u00e1 7, 115 19 Praha 1, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055596286"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5249,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62979825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"23","issue":"3","first_page":"334","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9988999962806702,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9943000078201294,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9926999807357788,"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/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.7220304012298584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5958292484283447},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5797615051269531},{"id":"https://openalex.org/keywords/tsallis-entropy","display_name":"Tsallis entropy","score":0.549410879611969},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.5433846116065979},{"id":"https://openalex.org/keywords/min-entropy","display_name":"Min entropy","score":0.5277177691459656},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5155937075614929},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.49498432874679565},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.4800059199333191},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.47931113839149475},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.46847882866859436},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4233250916004181},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3939543664455414},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3402640223503113},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.3102239966392517},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.2855643033981323},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22551336884498596},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19476324319839478},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16995692253112793}],"concepts":[{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.7220304012298584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5958292484283447},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5797615051269531},{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.549410879611969},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.5433846116065979},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.5277177691459656},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5155937075614929},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.49498432874679565},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4800059199333191},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.47931113839149475},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.46847882866859436},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4233250916004181},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3939543664455414},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3402640223503113},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3102239966392517},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.2855643033981323},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22551336884498596},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19476324319839478},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16995692253112793}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.3390/e23030334","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23030334","pdf_url":"https://www.mdpi.com/1099-4300/23/3/334/pdf?version=1616122209","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33809011","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33809011","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:arXiv.org:2102.09415","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.09415","pdf_url":"https://arxiv.org/pdf/2102.09415","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"},{"id":"pmh:oai:doaj.org/article:832ce90b73504e3cb15ede936b09ce45","is_oa":true,"landing_page_url":"https://doaj.org/article/832ce90b73504e3cb15ede936b09ce45","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 3, p 334 (2021)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/23480768","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/From_R_nyi_entropy_power_to_information_scan_of_quantum_states/23480768","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/3/334/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23030334","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy; Volume 23; Issue 3; Pages: 334","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8001603","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8001603","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:sro.sussex.ac.uk:97715","is_oa":true,"landing_page_url":"http://sro.sussex.ac.uk/id/eprint/97715/1/Entropy-accepted-03-08-2021_JDP.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400129","display_name":"Sussex Research Online (University of Sussex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162608824","host_organization_name":"University of Sussex","host_organization_lineage":["https://openalex.org/I162608824"],"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":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.3390/e23030334","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23030334","pdf_url":"https://www.mdpi.com/1099-4300/23/3/334/pdf?version=1616122209","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G1970708878","display_name":null,"funder_award_id":"19-16066S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8960705998","display_name":null,"funder_award_id":"EP/M013243/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3130059149.pdf","grobid_xml":"https://content.openalex.org/works/W3130059149.grobid-xml"},"referenced_works_count":121,"referenced_works":["https://openalex.org/W360650912","https://openalex.org/W1418485628","https://openalex.org/W1491647559","https://openalex.org/W1529624360","https://openalex.org/W1530054495","https://openalex.org/W1553236419","https://openalex.org/W1554840666","https://openalex.org/W1558629316","https://openalex.org/W1574861711","https://openalex.org/W1584835303","https://openalex.org/W1592472301","https://openalex.org/W1592958377","https://openalex.org/W1672879477","https://openalex.org/W1792177208","https://openalex.org/W1840880509","https://openalex.org/W1922629554","https://openalex.org/W1924249641","https://openalex.org/W1983874169","https://openalex.org/W1991776683","https://openalex.org/W1993019674","https://openalex.org/W1995875735","https://openalex.org/W1996114616","https://openalex.org/W2000747741","https://openalex.org/W2001885186","https://openalex.org/W2001903741","https://openalex.org/W2001935257","https://openalex.org/W2002867407","https://openalex.org/W2004181051","https://openalex.org/W2004183509","https://openalex.org/W2007312823","https://openalex.org/W2009540844","https://openalex.org/W2011033654","https://openalex.org/W2014739224","https://openalex.org/W2015042120","https://openalex.org/W2015586056","https://openalex.org/W2024864245","https://openalex.org/W2027378594","https://openalex.org/W2028712970","https://openalex.org/W2029920391","https://openalex.org/W2030098325","https://openalex.org/W2032370820","https://openalex.org/W2035245840","https://openalex.org/W2035364928","https://openalex.org/W2039993839","https://openalex.org/W2041765604","https://openalex.org/W2042601507","https://openalex.org/W2043371182","https://openalex.org/W2043671058","https://openalex.org/W2045390111","https://openalex.org/W2056129277","https://openalex.org/W2057180031","https://openalex.org/W2059889790","https://openalex.org/W2065967227","https://openalex.org/W2066532004","https://openalex.org/W2070613832","https://openalex.org/W2072718918","https://openalex.org/W2075138946","https://openalex.org/W2086435517","https://openalex.org/W2088048184","https://openalex.org/W2088325035","https://openalex.org/W2088892532","https://openalex.org/W2092170739","https://openalex.org/W2093802314","https://openalex.org/W2093988651","https://openalex.org/W2094654291","https://openalex.org/W2097854052","https://openalex.org/W2099111195","https://openalex.org/W2101107238","https://openalex.org/W2107602703","https://openalex.org/W2110283120","https://openalex.org/W2113980287","https://openalex.org/W2119713083","https://openalex.org/W2122166994","https://openalex.org/W2144965412","https://openalex.org/W2153206408","https://openalex.org/W2168102257","https://openalex.org/W2258809045","https://openalex.org/W2263958071","https://openalex.org/W2270735164","https://openalex.org/W2320045903","https://openalex.org/W2323093390","https://openalex.org/W2327248386","https://openalex.org/W2409978206","https://openalex.org/W2414463777","https://openalex.org/W2467435161","https://openalex.org/W2478708596","https://openalex.org/W2479877649","https://openalex.org/W2524449277","https://openalex.org/W2531434902","https://openalex.org/W2559735145","https://openalex.org/W2589641207","https://openalex.org/W2719025183","https://openalex.org/W2756071920","https://openalex.org/W2798198027","https://openalex.org/W2887427821","https://openalex.org/W2888288252","https://openalex.org/W2901930902","https://openalex.org/W2914417118","https://openalex.org/W2939132431","https://openalex.org/W2947175055","https://openalex.org/W2963144918","https://openalex.org/W2963581439","https://openalex.org/W2965594754","https://openalex.org/W2993383518","https://openalex.org/W3098857864","https://openalex.org/W3098895776","https://openalex.org/W3099872142","https://openalex.org/W3101292872","https://openalex.org/W3101463058","https://openalex.org/W3102855270","https://openalex.org/W3104822214","https://openalex.org/W3105573210","https://openalex.org/W3208190654","https://openalex.org/W4245113599","https://openalex.org/W4245439180","https://openalex.org/W4246466113","https://openalex.org/W4251776440","https://openalex.org/W4255218330","https://openalex.org/W4255243486","https://openalex.org/W4255783720","https://openalex.org/W6833385495"],"related_works":["https://openalex.org/W3099813660","https://openalex.org/W3123254516","https://openalex.org/W4220904742","https://openalex.org/W4299619851","https://openalex.org/W2312487757","https://openalex.org/W1963508963","https://openalex.org/W3189471838","https://openalex.org/W3101292872","https://openalex.org/W4300360364","https://openalex.org/W4292102287"],"abstract_inverted_index":{"In":[0],"this":[1,100],"paper,":[2],"we":[3,17,70],"generalize":[4],"the":[5,12,21,49,62,65,73,96,102,123,126],"notion":[6,127],"of":[7,20,51,55,64,99,108,125,128],"Shannon's":[8],"entropy":[9,67,129,133],"power":[10,68,130],"to":[11,91,131],"R\u00e9nyi-entropy":[13],"setting.":[14],"With":[15],"this,":[16],"propose":[18],"generalizations":[19],"de":[22],"Bruijn":[23],"identity,":[24],"isoperimetric":[25],"inequality,":[26],"or":[27],"Stam":[28],"inequality.":[29],"This":[30],"framework":[31,47],"not":[32],"only":[33],"allows":[34],"for":[35,48],"finding":[36],"new":[37],"estimation":[38,138],"inequalities,":[39],"but":[40],"it":[41],"also":[42,141],"provides":[43],"a":[44,52,79,86],"convenient":[45],"technical":[46],"derivation":[50],"one-parameter":[53],"family":[54],"R\u00e9nyi-entropy-power-based":[56],"quantum-mechanical":[57],"uncertainty":[58],"relations.":[59],"To":[60],"illustrate":[61,95],"usefulness":[63],"R\u00e9nyi":[66],"obtained,":[69],"show":[71],"how":[72],"information":[74],"probability":[75],"distribution":[76],"associated":[77],"with":[78,101],"quantum":[80,118],"state":[81],"can":[82],"be":[83],"reconstructed":[84],"in":[85,114,137],"process":[87],"that":[88],"is":[89],"akin":[90],"quantum-state":[92],"tomography.":[93],"We":[94],"inner":[97],"workings":[98],"so-called":[103],"\"cat":[104],"states\",":[105],"which":[106],"are":[107,140],"fundamental":[109],"interest":[110],"and":[111,134],"practical":[112],"use":[113],"schemes":[115],"such":[116],"as":[117],"metrology.":[119],"Salient":[120],"issues,":[121],"including":[122],"extension":[124],"Tsallis":[132],"ensuing":[135],"implications":[136],"theory,":[139],"briefly":[142],"discussed.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
