{"id":"https://openalex.org/W3002052509","doi":"https://doi.org/10.3390/e22020138","title":"Quantum Relative Entropy of Tagging and Thermodynamics","display_name":"Quantum Relative Entropy of Tagging and Thermodynamics","publication_year":2020,"publication_date":"2020-01-24","ids":{"openalex":"https://openalex.org/W3002052509","doi":"https://doi.org/10.3390/e22020138","mag":"3002052509","pmid":"https://pubmed.ncbi.nlm.nih.gov/33285913"},"language":"en","primary_location":{"id":"doi:10.3390/e22020138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020138","pdf_url":null,"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":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e22020138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048820505","display_name":"Jose Diazdelacruz","orcid":"https://orcid.org/0000-0002-5809-2089"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose Diazdelacruz","raw_affiliation_strings":["Department of Applied Physics and Materials Engineering, Universidad Politecnica de Madrid, 28040 Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5809-2089","affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Materials Engineering, Universidad Politecnica de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048820505"],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.1163,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.36682215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"2","first_page":"138","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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":0.9980000257492065,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9918000102043152,"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/second-law-of-thermodynamics","display_name":"Second law of thermodynamics","score":0.6511646509170532},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.6481279730796814},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5838145017623901},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.5581016540527344},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5509001612663269},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5137094259262085},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5087817311286926},{"id":"https://openalex.org/keywords/quantum-thermodynamics","display_name":"Quantum thermodynamics","score":0.45152631402015686},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.41421326994895935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4117189347743988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37039485573768616},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3110365867614746},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.256946861743927},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11896571516990662}],"concepts":[{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.6511646509170532},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6481279730796814},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5838145017623901},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.5581016540527344},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5509001612663269},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5137094259262085},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5087817311286926},{"id":"https://openalex.org/C2776897741","wikidata":"https://www.wikidata.org/wiki/Q12212546","display_name":"Quantum thermodynamics","level":3,"score":0.45152631402015686},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.41421326994895935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4117189347743988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37039485573768616},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3110365867614746},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.256946861743927},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11896571516990662}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e22020138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020138","pdf_url":null,"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:33285913","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33285913","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:pubmedcentral.nih.gov:7516547","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7516547","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:doaj.org/article:ffd00eac86514d64be4839c310f3fbb1","is_oa":true,"landing_page_url":"https://doaj.org/article/ffd00eac86514d64be4839c310f3fbb1","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 22, Iss 2, p 138 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/2/138/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22020138","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","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e22020138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020138","pdf_url":null,"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":[],"awards":[{"id":"https://openalex.org/G3009946308","display_name":null,"funder_award_id":"FIS 2017-91460-EXP","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G8972533125","display_name":null,"funder_award_id":"S2018/TCS-4342","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G978144369","display_name":null,"funder_award_id":"S2018/TCS-4342 (QUITEMAD-CM)","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"}],"funders":[{"id":"https://openalex.org/F4320313831","display_name":"Comunidad de Madrid","ror":null},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W384246089","https://openalex.org/W1571385165","https://openalex.org/W1963710852","https://openalex.org/W1964419199","https://openalex.org/W1965114392","https://openalex.org/W1967548147","https://openalex.org/W1970814175","https://openalex.org/W1980424780","https://openalex.org/W1984695174","https://openalex.org/W1985763576","https://openalex.org/W1994849659","https://openalex.org/W2006991014","https://openalex.org/W2007252927","https://openalex.org/W2014886687","https://openalex.org/W2020127339","https://openalex.org/W2021631433","https://openalex.org/W2031451638","https://openalex.org/W2065747607","https://openalex.org/W2071214852","https://openalex.org/W2073536894","https://openalex.org/W2088288840","https://openalex.org/W2094545983","https://openalex.org/W2107626567","https://openalex.org/W2151773880","https://openalex.org/W2155068770","https://openalex.org/W2206699244","https://openalex.org/W2227470455","https://openalex.org/W2346216023","https://openalex.org/W2520387704","https://openalex.org/W2586072886","https://openalex.org/W2783610217","https://openalex.org/W2784079687","https://openalex.org/W2784995913","https://openalex.org/W2799305664","https://openalex.org/W2802308087","https://openalex.org/W2803874592","https://openalex.org/W2811173390","https://openalex.org/W2886865637","https://openalex.org/W2915661561","https://openalex.org/W2949321739","https://openalex.org/W2950941656","https://openalex.org/W2979427825","https://openalex.org/W3098165131","https://openalex.org/W3101159797","https://openalex.org/W3101930298","https://openalex.org/W3104103967","https://openalex.org/W3105536403","https://openalex.org/W3106530684","https://openalex.org/W3161191222","https://openalex.org/W4238838407","https://openalex.org/W4250022066","https://openalex.org/W6663201527","https://openalex.org/W6785537774"],"related_works":["https://openalex.org/W1964570781","https://openalex.org/W1481671301","https://openalex.org/W2135196932","https://openalex.org/W2265912127","https://openalex.org/W4285077567","https://openalex.org/W3161684485","https://openalex.org/W4313483483","https://openalex.org/W2318484023","https://openalex.org/W4281387982","https://openalex.org/W4317528979"],"abstract_inverted_index":{"Thermodynamics":[0,184],"establishes":[1],"a":[2,12,15,61,74,78,99,145,173],"relation":[3,49],"between":[4,50,127],"the":[5,25,32,51,55,71,91,96,118,123,134,177,190],"work":[6,42],"that":[7,111,156,166],"can":[8,38],"be":[9,39],"obtained":[10],"in":[11],"transformation":[13],"of":[14,34,73,80,89,98,130,136,140,148],"physical":[16,75,100,131],"system":[17,76,101,188],"and":[18,54,133,185],"its":[19],"relative":[20,52,92,128],"entropy":[21,53,93],"with":[22],"respect":[23],"to":[24,67,109,171,176],"equilibrium":[26],"state.":[27],"It":[28],"also":[29],"describes":[30],"how":[31],"bits":[33,57,135],"an":[35,47],"informational":[36,56],"reservoir":[37],"traded":[40],"for":[41,102,153,182],"using":[43],"Heat":[44],"Engines.":[45],"Therefore,":[46],"indirect":[48],"is":[58,155,168],"implied.":[59],"From":[60],"different":[62],"perspective,":[63],"we":[64,121,164],"define":[65],"procedures":[66],"store":[68],"information":[69,137],"about":[70],"state":[72],"into":[77,115],"sequence":[79],"tagging":[81],"qubits.":[82],"Our":[83],"labeling":[84,187],"operations":[85],"provide":[86],"reversible":[87],"ways":[88],"trading":[90],"gained":[94],"from":[95],"observation":[97],"adequately":[103],"initialized":[104],"qubits,":[105],"which":[106,183],"are":[107],"used":[108],"hold":[110,142],"information.":[112],"After":[113],"taking":[114],"account":[116],"all":[117],"qubits":[119],"involved,":[120],"reproduce":[122],"relations":[124],"mentioned":[125],"above":[126],"entropies":[129],"systems":[132],"reservoirs.":[138],"Some":[139],"them":[141],"only":[143],"under":[144],"restricted":[146],"class":[147],"coding":[149],"bases.":[150],"The":[151],"reason":[152],"it":[154,167],"quantum":[157],"states":[158],"do":[159],"not":[160],"necessarily":[161],"commute.":[162],"However,":[163],"prove":[165],"always":[169],"possible":[170],"find":[172],"basis":[174],"(equivalent":[175],"total":[178],"angular":[179],"momentum":[180],"one)":[181],"our":[186],"yield":[189],"same":[191],"relation.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
