{"id":"https://openalex.org/W3011519557","doi":"https://doi.org/10.22331/q-2020-11-08-360","title":"On the Alberti-Uhlmann Condition for Unital Channels","display_name":"On the Alberti-Uhlmann Condition for Unital Channels","publication_year":2020,"publication_date":"2020-11-08","ids":{"openalex":"https://openalex.org/W3011519557","doi":"https://doi.org/10.22331/q-2020-11-08-360","mag":"3011519557"},"language":"en","primary_location":{"id":"doi:10.22331/q-2020-11-08-360","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2020-11-08-360","pdf_url":"https://quantum-journal.org/papers/q-2020-11-08-360/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2020-11-08-360/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sagnik Chakraborty","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Sagnik Chakraborty","raw_affiliation_strings":["Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzi\u0105dzka 5/7, 87-100 Toru\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzi\u0105dzka 5/7, 87-100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I4210086947","https://openalex.org/I3019271933"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Dariusz Chru\u015bci\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Dariusz Chru\u015bci\u0144ski","raw_affiliation_strings":["Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzi\u0105dzka 5/7, 87-100 Toru\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzi\u0105dzka 5/7, 87-100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I4210086947","https://openalex.org/I3019271933"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Gniewomir Sarbicki","orcid":null},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]},{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Gniewomir Sarbicki","raw_affiliation_strings":["Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzi\u0105dzka 5/7, 87-100 Toru\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzi\u0105dzka 5/7, 87-100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I4210086947","https://openalex.org/I3019271933"]}]},{"author_position":"last","author":{"id":null,"display_name":"Frederik vom Ende","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142743","display_name":"Munich Center for Quantum Science and Technology","ror":"https://ror.org/04xrcta15","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210142743","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frederik vom Ende","raw_affiliation_strings":["Department of Chemistry, Technische Universit\u00e4t M\u00fcnchen, 85747 Garching, Germany","Munich Centre for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Technische Universit\u00e4t M\u00fcnchen, 85747 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Munich Centre for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210142743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3019271933","https://openalex.org/I4210086947"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.1371,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52816357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"4","issue":null,"first_page":"360","last_page":"360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.5740000009536743,"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":0.5740000009536743,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.08839999884366989,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.03400000184774399,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/unital","display_name":"Unital","score":0.8163999915122986},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5422999858856201},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5060999989509583},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.48159998655319214},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.32839998602867126}],"concepts":[{"id":"https://openalex.org/C160873635","wikidata":"https://www.wikidata.org/wiki/Q17148807","display_name":"Unital","level":3,"score":0.8163999915122986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6841999888420105},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5422999858856201},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5060999989509583},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.48159998655319214},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3668999969959259},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36010000109672546},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3010999858379364},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.28870001435279846},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.2809000015258789}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2020-11-08-360","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2020-11-08-360","pdf_url":"https://quantum-journal.org/papers/q-2020-11-08-360/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2003.07889","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.07889","pdf_url":"https://arxiv.org/pdf/2003.07889","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:4c6c7af8c6d040c382557dcf929a1f0b","is_oa":true,"landing_page_url":"https://doaj.org/article/4c6c7af8c6d040c382557dcf929a1f0b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 4, p 360 (2020)","raw_type":"article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1611244","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1611244","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2020-11-08-360","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2020-11-08-360","pdf_url":"https://quantum-journal.org/papers/q-2020-11-08-360/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3011519557.pdf","grobid_xml":"https://content.openalex.org/works/W3011519557.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W24239088","https://openalex.org/W391578156","https://openalex.org/W1602420091","https://openalex.org/W1930481778","https://openalex.org/W1963924384","https://openalex.org/W1997314000","https://openalex.org/W2006991014","https://openalex.org/W2023747038","https://openalex.org/W2029134277","https://openalex.org/W2051869207","https://openalex.org/W2081503736","https://openalex.org/W2125151656","https://openalex.org/W2139132944","https://openalex.org/W2142453065","https://openalex.org/W2160212841","https://openalex.org/W2161321725","https://openalex.org/W2331274486","https://openalex.org/W2963580681","https://openalex.org/W2980241118","https://openalex.org/W2990961515","https://openalex.org/W2994771363","https://openalex.org/W3036621969","https://openalex.org/W4249726483"],"related_works":[],"abstract_inverted_index":{"We":[0,19],"address":[1],"the":[2,21,35],"problem":[3],"of":[4,6,16,23,37,44],"existence":[5,36],"completely":[7],"positive":[8],"trace":[9],"preserving":[10],"(CPTP)":[11],"maps":[12],"between":[13,41],"two":[14,42],"sets":[15],"density":[17],"matrices.":[18],"refine":[20],"result":[22],"Alberti":[24],"and":[25,27,31],"Uhlmann":[26],"derive":[28],"a":[29,38],"necessary":[30],"sufficient":[32],"condition":[33],"for":[34],"unital":[39],"channel":[40],"pairs":[43],"qubit":[45],"states":[46],"which":[47],"ultimately":[48],"boils":[49],"down":[50],"to":[51],"three":[52],"simple":[53],"inequalities.":[54]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2020-03-23T00:00:00"}
