{"id":"https://openalex.org/W7207559498","doi":"https://doi.org/10.48550/arxiv.2609.01966","title":"Localizing quantum information","display_name":"Localizing quantum information","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7207559498","doi":"https://doi.org/10.48550/arxiv.2609.01966"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.01966","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.01966","pdf_url":"https://arxiv.org/pdf/2609.01966","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.01966","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050957936","display_name":"Fahimeh Bayeh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]},{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Bayeh, Fahimeh","raw_affiliation_strings":["Department of Mathematical Sciences , New Mexico State University Las Cruces , NM 88003 , United States of America","Department of Mathematics and Statistics , Dalhousie University Halifax , NS B3H 4R2 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , New Mexico State University Las Cruces , NM 88003 , United States of America","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , Dalhousie University Halifax , NS B3H 4R2 , Canada","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023599805","display_name":"Andre Kornell","orcid":"https://orcid.org/0000-0002-8930-7126","observed_orcids":["https://orcid.org/0000-0002-8930-7126"]},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kornell, Andre","raw_affiliation_strings":["Department of Mathematics and Statistics , Dalhousie University Halifax , NS B3H 4R2 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , Dalhousie University Halifax , NS B3H 4R2 , Canada","institution_ids":["https://openalex.org/I129902397"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.6449999809265137,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.6449999809265137,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.15639999508857727,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.14830000698566437,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entropy","display_name":"quantum entropy","score":0.6869999766349792},{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"von Neumann entropy","score":0.9139999747276306},{"id":"https://openalex.org/keywords/shannon-entropy","display_name":"Shannon entropy","score":0.7609999775886536},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"noncommutative geometry","score":0.902999997138977},{"id":"https://openalex.org/keywords/bell-states","display_name":"Bell states","score":0.8569999933242798},{"id":"https://openalex.org/keywords/redundant-information","display_name":"information redundancy","score":0.8989999890327454},{"id":"https://openalex.org/keywords/superselection-sectors","display_name":"superselection sectors","score":0.6880000233650208},{"id":"https://openalex.org/keywords/finite-quantum-systems","display_name":"finite quantum systems","score":0.7269999980926514},{"id":"https://openalex.org/keywords/c-algebras","display_name":"C*-algebras","score":0.7369999885559082},{"id":"https://openalex.org/keywords/quantum-information","display_name":"quantum information","score":0.41600000858306885}],"concepts":[{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.8679999709129333},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.7860000133514404},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.7570000290870667},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.754800021648407},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.7504000067710876},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.6229000091552734},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5882999897003174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5735999941825867},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.5569999814033508},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5541999936103821},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.5396999716758728},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.5353999733924866},{"id":"https://openalex.org/C2781002276","wikidata":"https://www.wikidata.org/wiki/Q5930120","display_name":"Superselection","level":3,"score":0.504800021648407},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.47369998693466187},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4390999972820282},{"id":"https://openalex.org/C16609844","wikidata":"https://www.wikidata.org/wiki/Q5159273","display_name":"Conditional quantum entropy","level":5,"score":0.41519999504089355},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4106000065803528},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.4016999900341034},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.3725999891757965},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3617999851703644},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.3555000126361847},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.33730000257492065},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.3248000144958496},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29030001163482666},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.28610000014305115},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.2727000117301941},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2696000039577484},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.2653000056743622},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2632000148296356},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.2549999952316284},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2547000050544739},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.01966","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.01966","pdf_url":"https://arxiv.org/pdf/2609.01966","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,"listed_in":[],"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":"doi:10.48550/arxiv.2609.01966","doi":"https://doi.org/10.48550/arxiv.2609.01966","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.01966","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,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.01966","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.01966","pdf_url":"https://arxiv.org/pdf/2609.01966","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,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7207559498.pdf","grobid_xml":"https://content.openalex.org/works/W7207559498.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W1610058533"],"related_works":["https://openalex.org/W4403887636","https://openalex.org/W2002289461","https://openalex.org/W2058263118","https://openalex.org/W7118080762","https://openalex.org/W4401000813","https://openalex.org/W2507808241","https://openalex.org/W7128297969","https://openalex.org/W1845175544","https://openalex.org/W2342603278","https://openalex.org/W2921525802"],"abstract_inverted_index":{"The":[0],"idea":[1],"that":[2,66,110,121,128,135,159],"information":[3,35,37,62,91],"can":[4,47],"be":[5],"localized":[6],"is":[7,31,38,116,130],"pervasive":[8],"in":[9,21,63,92,104,139],"physics.":[10],"In":[11,33,82],"thermodynamics,":[12],"entropy":[13,25,59,86,115,120,134],"flows":[14],"from":[15,40],"one":[16,41],"reservoir":[17],"to":[18,43],"another,":[19,44],"and":[20,45],"quantum":[22,34,119,133,157],"gravity,":[23],"the":[24,64,73,117,131,146],"content":[26],"of":[27,75,77,98,141],"some":[28],"spatial":[29],"regions":[30],"bounded.":[32],"theory,":[36],"transmitted":[39],"place":[42],"entanglement":[46],"provide":[48],"an":[49,69],"advantage":[50],"when":[51],"there":[52],"are":[53],"constraints":[54],"on":[55,72],"such":[56],"transmission.":[57],"Shannon":[58],"quantifies":[60,122],"localizable":[61,90,123],"sense":[65],"marginalization":[67],"defines":[68],"outer":[70],"measure":[71],"set":[74],"parts":[76],"a":[78,96],"classical":[79,147],"multipartite":[80],"system.":[81],"contrast,":[83],"von":[84,99,113],"Neumann":[85,100,114],"does":[87],"not":[88],"quantify":[89],"this":[93,111,129],"sense.":[94],"However,":[95],"variant":[97],"entropy,":[101],"which":[102],"originates":[103],"noncommutative":[105],"geometry,":[106],"does.":[107],"We":[108,125,149],"prove":[109,127],"adjusted":[112],"minimum":[118],"information.":[124],"also":[126],"unique":[132],"characterizes":[136],"Bell":[137],"states":[138],"terms":[140],"redundant":[142],"information,":[143],"directly":[144],"generalizing":[145],"case.":[148],"work":[150],"with":[151],"finite-dimensional":[152],"$C^*$-algebras":[153],"throughout,":[154],"modeling":[155],"finite":[156],"systems":[158],"may":[160],"have":[161],"superselection":[162],"sectors.":[163]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-04T00:00:00"}