{"id":"https://openalex.org/W4415041492","doi":"https://doi.org/10.3390/e27101051","title":"Local Invariance of Divergence-Based Quantum Information Measures","display_name":"Local Invariance of Divergence-Based Quantum Information Measures","publication_year":2025,"publication_date":"2025-10-10","ids":{"openalex":"https://openalex.org/W4415041492","doi":"https://doi.org/10.3390/e27101051","pmid":"https://pubmed.ncbi.nlm.nih.gov/41149009"},"language":"en","primary_location":{"id":"doi:10.3390/e27101051","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27101051","pdf_url":"https://www.mdpi.com/1099-4300/27/10/1051/pdf?version=1760081808","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/1099-4300/27/10/1051/pdf?version=1760081808","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059588482","display_name":"Christopher Popp","orcid":"https://orcid.org/0000-0002-2352-3731"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Christopher Popp","raw_affiliation_strings":["Faculty of Physics, University of Vienna, W\u00e4hringerstra\u00dfe 17, 1090 Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-2352-3731","affiliations":[{"raw_affiliation_string":"Faculty of Physics, University of Vienna, W\u00e4hringerstra\u00dfe 17, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5099381045","display_name":"Tobias C. Sutter","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Tobias C. Sutter","raw_affiliation_strings":["Faculty of Physics, University of Vienna, W\u00e4hringerstra\u00dfe 17, 1090 Vienna, Austria"],"raw_orcid":"https://orcid.org/0009-0008-3179-7979","affiliations":[{"raw_affiliation_string":"Faculty of Physics, University of Vienna, W\u00e4hringerstra\u00dfe 17, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011840878","display_name":"Beatrix C. Hiesmayr","orcid":"https://orcid.org/0000-0001-9062-6039"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Beatrix C. Hiesmayr","raw_affiliation_strings":["Faculty of Physics, University of Vienna, W\u00e4hringerstra\u00dfe 17, 1090 Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0001-9062-6039","affiliations":[{"raw_affiliation_string":"Faculty of Physics, University of Vienna, W\u00e4hringerstra\u00dfe 17, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059588482"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":2.428,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.90688934,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"27","issue":"10","first_page":"1051","last_page":"1051"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9987999796867371,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9984999895095825,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9962999820709229,"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/unitary-state","display_name":"Unitary state","score":0.6687999963760376},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.5895000100135803},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5525000095367432},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5315999984741211},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5171999931335449},{"id":"https://openalex.org/keywords/coherent-information","display_name":"Coherent information","score":0.4544999897480011},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4275999963283539},{"id":"https://openalex.org/keywords/quantum-mutual-information","display_name":"Quantum mutual information","score":0.4242999851703644},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.41819998621940613},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4154999852180481}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6687999963760376},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.5895000100135803},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5525000095367432},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5315999984741211},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5171999931335449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4893999993801117},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.4544999897480011},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.4242999851703644},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.41819998621940613},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4154999852180481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41290000081062317},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.4066999852657318},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39469999074935913},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.38370001316070557},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3716999888420105},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.30790001153945923},{"id":"https://openalex.org/C124805900","wikidata":"https://www.wikidata.org/wiki/Q5159269","display_name":"Conditional mutual information","level":3,"score":0.30559998750686646},{"id":"https://openalex.org/C38764148","wikidata":"https://www.wikidata.org/wiki/Q17098245","display_name":"Interaction information","level":2,"score":0.30160000920295715},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3005000054836273},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.3003999888896942},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2913999855518341},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2896000146865845},{"id":"https://openalex.org/C191608238","wikidata":"https://www.wikidata.org/wiki/Q5249552","display_name":"Decoherence-free subspaces","level":5,"score":0.28949999809265137},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.28839999437332153},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C33098168","wikidata":"https://www.wikidata.org/wiki/Q108537107","display_name":"Rotational invariance","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.2651999890804291},{"id":"https://openalex.org/C179957908","wikidata":"https://www.wikidata.org/wiki/Q907206","display_name":"POVM","level":5,"score":0.2547000050544739},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2547000050544739}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e27101051","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27101051","pdf_url":"https://www.mdpi.com/1099-4300/27/10/1051/pdf?version=1760081808","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:41149009","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41149009","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:2509.04079","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.04079","pdf_url":"https://arxiv.org/pdf/2509.04079","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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:3af07d22a0a94e5cbadb07f547f2be97","is_oa":true,"landing_page_url":"https://doaj.org/article/3af07d22a0a94e5cbadb07f547f2be97","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 27, Iss 10, p 1051 (2025)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:11367461","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12564846","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":"Text"}],"best_oa_location":{"id":"doi:10.3390/e27101051","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27101051","pdf_url":"https://www.mdpi.com/1099-4300/27/10/1051/pdf?version=1760081808","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/G6305060309","display_name":null,"funder_award_id":"10.55776/P36102","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G709573086","display_name":"Free versus Bound Entanglement in High Dimensional Systems","funder_award_id":"P 36102","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415041492.pdf","grobid_xml":"https://content.openalex.org/works/W4415041492.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1409569118","https://openalex.org/W1621050367","https://openalex.org/W1907064244","https://openalex.org/W1968087916","https://openalex.org/W1986556555","https://openalex.org/W2004980778","https://openalex.org/W2007159481","https://openalex.org/W2007737215","https://openalex.org/W2013695092","https://openalex.org/W2045702468","https://openalex.org/W2068143801","https://openalex.org/W2069515215","https://openalex.org/W2082592501","https://openalex.org/W2122166994","https://openalex.org/W2132840498","https://openalex.org/W2144277460","https://openalex.org/W2148725952","https://openalex.org/W2168792807","https://openalex.org/W2288095892","https://openalex.org/W2292970846","https://openalex.org/W2415267262","https://openalex.org/W3038121199","https://openalex.org/W3101663526","https://openalex.org/W3103277421","https://openalex.org/W3103744872","https://openalex.org/W3125212723","https://openalex.org/W4392904784"],"related_works":[],"abstract_inverted_index":{"Quantum":[0],"information":[1,6,19,28,60,91,120,129],"quantities,":[2],"such":[3,90],"as":[4],"mutual":[5],"and":[7,15,34,66,96,115],"entropies,":[8],"are":[9],"essential":[10],"for":[11,48,59],"characterizing":[12],"quantum":[13,18,128],"systems":[14],"protocols":[16,95],"in":[17,63],"science.":[20],"In":[21],"this":[22],"contribution,":[23],"we":[24,56],"identify":[25],"types":[26],"of":[27,76,89,127],"measures":[29,121],"based":[30],"on":[31,71],"generalized":[32],"divergences":[33],"prove":[35],"their":[36,97],"invariance":[37,58],"under":[38],"local":[39,49],"isometric":[40],"or":[41,93],"unitary":[42],"transformations.":[43],"Leveraging":[44],"the":[45,53,72,77,87,111,125],"reversal":[46],"channel":[47],"isometries":[50],"together":[51],"with":[52,122],"data-processing":[54],"inequality,":[55],"establish":[57],"quantities":[61,92],"used":[62],"both":[64],"asymptotic":[65],"one-shot":[67],"regimes":[68],"without":[69],"relying":[70],"specific":[73],"functional":[74],"form":[75],"underlying":[78],"divergence.":[79],"These":[80],"invariances":[81],"can":[82],"be":[83],"applied":[84],"to":[85,113],"improve":[86,110],"computation":[88],"optimize":[94],"output":[98],"states,":[99],"whose":[100],"performance":[101],"is":[102],"determined":[103],"by":[104],"some":[105],"invariant":[106],"measure.":[107],"Our":[108],"results":[109],"capability":[112],"characterize":[114],"compute":[116],"many":[117],"operationally":[118],"relevant":[119],"application":[123],"across":[124],"field":[126],"processing.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-11T00:00:00"}