{"id":"https://openalex.org/W2581040039","doi":"https://doi.org/10.1109/isit.2017.8006789","title":"Quantum information on spectral sets","display_name":"Quantum information on spectral sets","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2581040039","doi":"https://doi.org/10.1109/isit.2017.8006789","mag":"2581040039"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5021606672","display_name":"Peter Harremo\u00ebs","orcid":"https://orcid.org/0000-0002-0441-6690"},"institutions":[{"id":"https://openalex.org/I4210143031","display_name":"Niels Brock","ror":"https://ror.org/03gzqe894","country_code":"DK","type":"education","lineage":["https://openalex.org/I4210143031"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Peter Harremoes","raw_affiliation_strings":["Niels Brock Copenhagen Business College, Copenhagen"],"affiliations":[{"raw_affiliation_string":"Niels Brock Copenhagen Business College, Copenhagen","institution_ids":["https://openalex.org/I4210143031"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021606672"],"corresponding_institution_ids":["https://openalex.org/I4210143031"],"apc_list":null,"apc_paid":null,"fwci":0.5161,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61433669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"263","issue":null,"first_page":"1549","last_page":"1553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.992900013923645,"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"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9896000027656555,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9812999963760376,"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/regret","display_name":"Regret","score":0.642947793006897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6263630390167236},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5565151572227478},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.4963093400001526},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4908621907234192},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4804101288318634},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4746549725532532},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4736184775829315},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.46565893292427063},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45529675483703613},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.43625354766845703},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42116445302963257},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4205661416053772},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3578280508518219},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21208998560905457},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13574934005737305},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12223049998283386},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08142563700675964}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.642947793006897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6263630390167236},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5565151572227478},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.4963093400001526},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4908621907234192},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4804101288318634},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4746549725532532},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4736184775829315},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.46565893292427063},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45529675483703613},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.43625354766845703},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42116445302963257},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4205661416053772},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3578280508518219},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21208998560905457},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13574934005737305},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12223049998283386},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08142563700675964},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2017.8006789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332731","display_name":"University of Hawai'i at M\u0101noa","ror":"https://ror.org/01wspgy28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1874532152","https://openalex.org/W2001854273","https://openalex.org/W2042980709","https://openalex.org/W2059697626","https://openalex.org/W2069527447","https://openalex.org/W2070945723","https://openalex.org/W2153525082","https://openalex.org/W2479749061","https://openalex.org/W2526033863","https://openalex.org/W2568948068","https://openalex.org/W2581040039","https://openalex.org/W3100509992","https://openalex.org/W3103788441","https://openalex.org/W4205887594"],"related_works":["https://openalex.org/W2518544128","https://openalex.org/W3213547841","https://openalex.org/W4287394599","https://openalex.org/W3120009850","https://openalex.org/W1963551385","https://openalex.org/W2950795472","https://openalex.org/W91784604","https://openalex.org/W343931480","https://openalex.org/W2092766144","https://openalex.org/W4220876393"],"abstract_inverted_index":{"For":[0],"convex":[1,18,38],"optimization":[2],"problems":[3],"Bregman":[4],"divergences":[5],"appear":[6],"as":[7,105],"regret":[8,11,28],"functions.":[9],"Such":[10],"functions":[12],"can":[13,102],"be":[14,31,41,103],"defined":[15],"on":[16,62],"any":[17],"set,":[19],"but":[20],"if":[21,91],"a":[22,52,88,120],"sufficiency":[23],"condition":[24],"is":[25,67,81,95],"added":[26],"the":[27,37,92],"function":[29],"must":[30,40],"proportional":[32],"to":[33,69,84],"information":[34,73],"divergence":[35],"and":[36,78],"set":[39],"spectral.":[42,96],"Spectral":[43],"sets":[44,46,65,101],"are":[45],"where":[47],"different":[48],"orthogonal":[49],"decompositions":[50],"of":[51,108],"state":[53,93],"into":[54],"pure":[55],"states":[56],"have":[57],"unique":[58],"mixing":[59],"coefficients.":[60],"Only":[61],"such":[63],"spectral":[64,100],"it":[66],"possible":[68,83],"define":[70],"well":[71],"behaved":[72],"theoretic":[74],"quantities":[75],"like":[76],"entropy":[77],"divergence.":[79],"It":[80],"only":[82],"perform":[85],"measurements":[86],"in":[87],"reversible":[89],"way":[90],"space":[94],"The":[97],"most":[98],"important":[99],"represented":[104],"positive":[106],"elements":[107],"Jordan":[109,117],"algebras":[110,118],"with":[111],"trace":[112],"1.":[113],"This":[114],"means":[115],"that":[116],"provide":[119],"natural":[121],"framework":[122],"for":[123],"studying":[124],"quantum":[125],"information.":[126]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
