{"id":"https://openalex.org/W2159453351","doi":"https://doi.org/10.1109/tit.2009.2016012","title":"Symmetric Measurements Attaining the Accessible Information","display_name":"Symmetric Measurements Attaining the Accessible Information","publication_year":2009,"publication_date":"2009-04-22","ids":{"openalex":"https://openalex.org/W2159453351","doi":"https://doi.org/10.1109/tit.2009.2016012","mag":"2159453351"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2016012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2016012","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042463876","display_name":"Thomas Decker","orcid":"https://orcid.org/0000-0001-9683-0620"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Thomas Decker","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042463876"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.14907928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"55","issue":"5","first_page":"2375","last_page":"2383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9987000226974487,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/povm","display_name":"POVM","score":0.7107180953025818},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5966441035270691},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5923131704330444},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5871210098266602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5693703293800354},{"id":"https://openalex.org/keywords/representation-theory-of-the-symmetric-group","display_name":"Representation theory of the symmetric group","score":0.5688092708587646},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5054736137390137},{"id":"https://openalex.org/keywords/irreducible-representation","display_name":"Irreducible representation","score":0.5045183897018433},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.49654704332351685},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"Representation theorem","score":0.4908214509487152},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.4865807294845581},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.4653964936733246},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.4156368672847748},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4135865569114685},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36712801456451416},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32319629192352295},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3218182921409607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25413551926612854},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2179076373577118},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.13710945844650269},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12292587757110596}],"concepts":[{"id":"https://openalex.org/C179957908","wikidata":"https://www.wikidata.org/wiki/Q907206","display_name":"POVM","level":5,"score":0.7107180953025818},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5966441035270691},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5923131704330444},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5871210098266602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5693703293800354},{"id":"https://openalex.org/C54506234","wikidata":"https://www.wikidata.org/wiki/Q7314231","display_name":"Representation theory of the symmetric group","level":3,"score":0.5688092708587646},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5054736137390137},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.5045183897018433},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.49654704332351685},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.4908214509487152},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.4865807294845581},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.4653964936733246},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4156368672847748},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4135865569114685},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36712801456451416},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32319629192352295},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3218182921409607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25413551926612854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2179076373577118},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.13710945844650269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12292587757110596},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2009.2016012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2016012","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:cds.cern.ch:885200","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/885200","pdf_url":null,"source":{"id":"https://openalex.org/S4306402194","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W655478034","https://openalex.org/W1505437954","https://openalex.org/W1596185498","https://openalex.org/W1602423691","https://openalex.org/W1762430620","https://openalex.org/W1977909688","https://openalex.org/W1990573885","https://openalex.org/W1991808482","https://openalex.org/W2016645836","https://openalex.org/W2017928198","https://openalex.org/W2021871756","https://openalex.org/W2033934891","https://openalex.org/W2039087220","https://openalex.org/W2048430946","https://openalex.org/W2051869207","https://openalex.org/W2083910521","https://openalex.org/W2085397031","https://openalex.org/W2094626706","https://openalex.org/W2099111195","https://openalex.org/W2099382096","https://openalex.org/W2135650458","https://openalex.org/W2135932112","https://openalex.org/W2159205241","https://openalex.org/W3047183350","https://openalex.org/W3098774950","https://openalex.org/W3105341777","https://openalex.org/W4206028667","https://openalex.org/W4213380319","https://openalex.org/W4300826418"],"related_works":["https://openalex.org/W2168014985","https://openalex.org/W2970317223","https://openalex.org/W2316951283","https://openalex.org/W2440518863","https://openalex.org/W2073642707","https://openalex.org/W2148297012","https://openalex.org/W1582868162","https://openalex.org/W2008180982","https://openalex.org/W2078907098","https://openalex.org/W123303044"],"abstract_inverted_index":{"A":[0],"theorem":[1],"of":[2,35],"Davies":[3],"shows":[4],"that":[5,18,24,71],"for":[6,53,72],"symmetric":[7,13],"quantum":[8],"states":[9,74],"there":[10],"exists":[11],"a":[12,20],"positive":[14],"operator-valued":[15],"measure":[16],"(POVM)":[17],"has":[19,39],"simple":[21],"structure":[22],"and":[23,64],"maximizes":[25],"the":[26,33,36,44,61,75],"mutual":[27],"information.":[28],"To":[29],"apply":[30],"this":[31],"theorem,":[32],"representation":[34],"symmetry":[37],"group":[38],"to":[40,60],"be":[41],"irreducible.":[42],"In":[43],"following":[45],"discussion,":[46],"similar":[47],"yet":[48],"weaker":[49],"results":[50,57],"are":[51,58],"obtained":[52],"reducible":[54],"representations.":[55],"The":[56],"applied":[59],"double":[62],"trines":[63],"it":[65],"is":[66,79],"shown":[67],"with":[68],"numerical":[69],"methods":[70],"these":[73],"pretty":[76],"good":[77],"measurement":[78],"optimal.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
