{"id":"https://openalex.org/W7203683890","doi":"https://doi.org/10.48550/arxiv.2608.15116","title":"Quantum channels on duals of von Neumann algebras in the Schr\u00f6dinger picture","display_name":"Quantum channels on duals of von Neumann algebras in the Schr\u00f6dinger picture","publication_year":2026,"publication_date":"2026-08-15","ids":{"openalex":"https://openalex.org/W7203683890","doi":"https://doi.org/10.48550/arxiv.2608.15116"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.15116","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.15116","pdf_url":"https://arxiv.org/pdf/2608.15116","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","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/2608.15116","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040894380","display_name":"Sviatoslav V. Dzhenzher","orcid":"https://orcid.org/0009-0008-3513-4312","observed_orcids":["https://orcid.org/0009-0008-3513-4312"]},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Dzhenzher, Sviatoslav V.","raw_affiliation_strings":["Moscow Institute of Physics and Technology 141701 , Institutskii lane , 9 , Dolgoprudny , Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology 141701 , Institutskii lane , 9 , Dolgoprudny , Russia","institution_ids":["https://openalex.org/I153845743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040894380"],"corresponding_institution_ids":["https://openalex.org/I153845743"],"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.00019999999494757503,"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":0.00019999999494757503,"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/quantum-channels","display_name":"quantum channels","score":1.0},{"id":"https://openalex.org/keywords/von-neumann-algebras","display_name":"von Neumann algebras","score":0.9049999713897705},{"id":"https://openalex.org/keywords/schrodinger-picture","display_name":"Schr\u00f6dinger picture","score":0.9269999861717224},{"id":"https://openalex.org/keywords/completely-positive-maps","display_name":"completely positive maps","score":0.9940000176429749},{"id":"https://openalex.org/keywords/pettis-integral","display_name":"Pettis integral","score":0.8859999775886536},{"id":"https://openalex.org/keywords/topological-groups","display_name":"topological groups","score":0.828000009059906},{"id":"https://openalex.org/keywords/group-representations","display_name":"group representations","score":0.5270000100135803},{"id":"https://openalex.org/keywords/infinite-dimensional-quantum-systems","display_name":"infinite-dimensional quantum systems","score":0.5669999718666077}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.8547999858856201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5523999929428101},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5289000272750854},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.5134000182151794},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4893999993801117},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.4449000060558319},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.39660000801086426},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.3779999911785126},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C153408630","wikidata":"https://www.wikidata.org/wiki/Q1970172","display_name":"Von Neumann algebra","level":3,"score":0.32739999890327454},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.32350000739097595},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.2833999991416931},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2754000127315521},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27379998564720154},{"id":"https://openalex.org/C180180088","wikidata":"https://www.wikidata.org/wiki/Q1022829","display_name":"CCR and CAR algebras","level":5,"score":0.2711000144481659},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.26460000872612},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2599000036716461},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.25380000472068787}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.15116","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.15116","pdf_url":"https://arxiv.org/pdf/2608.15116","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.15116","doi":"https://doi.org/10.48550/arxiv.2608.15116","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.15116","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.15116","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.15116","pdf_url":"https://arxiv.org/pdf/2608.15116","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203683890.pdf","grobid_xml":"https://content.openalex.org/works/W7203683890.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4392092207","https://openalex.org/W2000786318","https://openalex.org/W4377371539","https://openalex.org/W2952959569","https://openalex.org/W1610209260","https://openalex.org/W2081503736","https://openalex.org/W4387946781","https://openalex.org/W4296181720","https://openalex.org/W2115297457","https://openalex.org/W7098062854"],"abstract_inverted_index":{"The":[0],"theory":[1],"of":[2,38,51,59],"quantum":[3,29],"channels":[4,30,53],"is":[5],"traditionally":[6],"studied":[7],"either":[8],"on":[9,22,35],"finite-dimensional":[10],"state":[11],"spaces":[12],"or":[13],"within":[14],"the":[15,36,44,49],"Heisenberg":[16],"picture":[17],"as":[18,31],"completely":[19,32],"positive":[20,33],"maps":[21,34],"C^*-algebras.":[23],"In":[24],"this":[25],"paper,":[26],"we":[27],"consider":[28],"duals":[37],"general":[39],"von":[40],"Neumann":[41],"algebras":[42],"in":[43],"Schrodinger":[45],"picture.":[46],"We":[47],"investigate":[48],"construction":[50],"such":[52],"through":[54],"Pettis":[55],"integrals":[56],"using":[57],"representations":[58],"topological":[60],"groups.":[61]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-08-19T00:00:00"}
