{"id":"https://openalex.org/W7222679570","doi":"https://doi.org/10.48550/arxiv.2610.20694","title":"Quantum Partial Information Decompositions, an Operational Order on Ensembles, and Direct Quantifications of Objective Information","display_name":"Quantum Partial Information Decompositions, an Operational Order on Ensembles, and Direct Quantifications of Objective Information","publication_year":2026,"publication_date":"2026-10-14","ids":{"openalex":"https://openalex.org/W7222679570","doi":"https://doi.org/10.48550/arxiv.2610.20694"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.20694","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.20694","pdf_url":"https://arxiv.org/pdf/2610.20694","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/2610.20694","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5158900257","display_name":"Alexander Nico-Katz","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205274468","display_name":"Trinity College Dublin","ror":"https://ror.org/02tyrky19","country_code":"IE","type":"education","lineage":["https://openalex.org/I205274468"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Nico-Katz, Alexander","raw_affiliation_strings":["School of Physics , Trinity College Dublin , Dublin 2 , Ireland","Trinity Quantum Alliance , Unit 16 , Trinity Technology and Enterprise Centre , Pearse Street , D02 YN67 , Dublin 2 , Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics , Trinity College Dublin , Dublin 2 , Ireland","institution_ids":["https://openalex.org/I205274468"]},{"raw_affiliation_string":"Trinity Quantum Alliance , Unit 16 , Trinity Technology and Enterprise Centre , Pearse Street , D02 YN67 , Dublin 2 , Ireland","institution_ids":["https://openalex.org/I205274468"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5158900257"],"corresponding_institution_ids":["https://openalex.org/I205274468"],"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":0.8690999746322632,"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":0.8690999746322632,"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":0.09149999916553497,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.007300000172108412,"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/holevo-quantity","display_name":"Holevo quantity","score":0.972000002861023},{"id":"https://openalex.org/keywords/quantum-ensembles","display_name":"quantum ensembles","score":0.7649999856948853},{"id":"https://openalex.org/keywords/objective-information","display_name":"objective information","score":0.7730000019073486}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.7092000246047974},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5149000287055969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46880000829696655},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46000000834465027},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4408999979496002},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.4345000088214874},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4332999885082245},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4083000123500824},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33070001006126404},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.31299999356269836},{"id":"https://openalex.org/C38764148","wikidata":"https://www.wikidata.org/wiki/Q17098245","display_name":"Interaction information","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2935999929904938},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.27639999985694885},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.26339998841285706},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.20694","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.20694","pdf_url":"https://arxiv.org/pdf/2610.20694","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.2610.20694","doi":"https://doi.org/10.48550/arxiv.2610.20694","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.20694","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.20694","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.20694","pdf_url":"https://arxiv.org/pdf/2610.20694","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/W7222679570.pdf","grobid_xml":"https://content.openalex.org/works/W7222679570.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1932088538","https://openalex.org/W1964891720","https://openalex.org/W2587693310","https://openalex.org/W7134814327","https://openalex.org/W7164032750"],"related_works":["https://openalex.org/W4389672421","https://openalex.org/W4416240215","https://openalex.org/W1966698790","https://openalex.org/W2025644344","https://openalex.org/W7096260772","https://openalex.org/W1551245402","https://openalex.org/W2012117668","https://openalex.org/W2183126344","https://openalex.org/W2994915336","https://openalex.org/W7097865593"],"abstract_inverted_index":{"The":[0],"partial":[1,77,133],"information":[2,11,22,110],"decomposition":[3],"(PID)":[4],"framework":[5,33],"is":[6],"an":[7,75,131],"extension":[8,30],"of":[9,18,21,31,37,51,74,84,92,142],"classical":[10,62],"theory":[12],"that":[13],"enables":[14],"a":[15,28,56,67,89,119],"systematic":[16],"analysis":[17],"the":[19,35,52,61],"structure":[20],"in":[23,82,111,144,155],"multipartite":[24,38,124],"systems.":[25],"We":[26,47],"advance":[27,137],"simple":[29],"this":[32],"enabling":[34],"construction":[36],"quantum":[39,80,156],"PIDs":[40],"(QPIDs);":[41],"generalizing":[42],"recent,":[43],"exclusively":[44],"bipartite,":[45],"extensions.":[46],"construct":[48],"two":[49],"QPIDs":[50,94,105,125,138],"Holevo":[53,104],"quantity.":[54],"First":[55],"naive":[57],"QPID":[58,69],"based":[59],"on":[60,79,135],"minimum":[63],"mutual":[64],"information.":[65,157],"Second":[66],"sophisticated":[68],"enabled":[70],"by":[71],"our":[72,103],"development":[73],"operational":[76,132],"order":[78,134],"ensembles":[81],"terms":[83],"ensemble":[85],"(inter-)convertability.":[86],"Finally,":[87],"as":[88,139],"concrete":[90],"example":[91],"how":[93],"can":[95,126],"be":[96,127],"applied,":[97],"we":[98],"investigate":[99],"objectivity":[100],"scenarios;":[101],"using":[102],"to":[106,153],"directly":[107],"quantify":[108],"objective":[109],"extended":[112],"graph":[113],"states.":[114],"These":[115],"findings":[116],"ultimately":[117],"establish":[118],"foundation":[120],"upon":[121],"which":[122],"generic":[123],"systematically":[128],"constructed,":[129],"introduce":[130],"ensembles,":[136],"interesting":[140],"objects":[141],"study":[143],"their":[145,150],"own":[146],"right,":[147],"and":[148],"demonstrate":[149],"immediate":[151],"applicability":[152],"problems":[154]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-17T00:00:00"}
