{"id":"https://openalex.org/W4362569579","doi":"https://doi.org/10.1142/s1230161223500026","title":"G-Circulant Quantum Markov Semigroups","display_name":"G-Circulant Quantum Markov Semigroups","publication_year":2023,"publication_date":"2023-03-01","ids":{"openalex":"https://openalex.org/W4362569579","doi":"https://doi.org/10.1142/s1230161223500026"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161223500026","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161223500026","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","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/A5012571983","display_name":"Jorge R. Bola\u00f1os-Serv\u00edn","orcid":"https://orcid.org/0000-0003-2856-1902"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jorge R. Bola\u00f1os-Serv\u00edn","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048201596","display_name":"Roberto Quezada","orcid":"https://orcid.org/0000-0001-8039-2574"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Roberto Quezada","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040086118","display_name":"Josu\u00e9 V\u00e1zquez-Becerra","orcid":"https://orcid.org/0000-0001-7409-6867"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Josu\u00e9 V\u00e1zquez-Becerra","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico","institution_ids":["https://openalex.org/I200362191"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012571983"],"corresponding_institution_ids":["https://openalex.org/I200362191"],"apc_list":null,"apc_paid":null,"fwci":1.1178,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72683145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"30","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9945999979972839,"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/T11716","display_name":"Random Matrices and Applications","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.9390934705734253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6291907429695129},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5345785617828369},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.4864199161529541},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4611961841583252},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4574129283428192},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4479132890701294},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3340115547180176},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15468859672546387},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07981047034263611},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06425100564956665},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.052111297845840454}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.9390934705734253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6291907429695129},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5345785617828369},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4864199161529541},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4611961841583252},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4574129283428192},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4479132890701294},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3340115547180176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15468859672546387},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07981047034263611},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06425100564956665},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.052111297845840454},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1230161223500026","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161223500026","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W755194005","https://openalex.org/W1486945624","https://openalex.org/W1548798610","https://openalex.org/W1966537508","https://openalex.org/W1987523358","https://openalex.org/W1991524524","https://openalex.org/W2000279093","https://openalex.org/W2007366197","https://openalex.org/W2010420434","https://openalex.org/W2017964195","https://openalex.org/W2024046876","https://openalex.org/W2030300841","https://openalex.org/W2047260100","https://openalex.org/W2050289987","https://openalex.org/W2056389572","https://openalex.org/W2057772708","https://openalex.org/W2065099423","https://openalex.org/W2068767752","https://openalex.org/W2417308591","https://openalex.org/W2478702349","https://openalex.org/W2560221293","https://openalex.org/W2795696665","https://openalex.org/W2998951720","https://openalex.org/W3098432704","https://openalex.org/W3102558967","https://openalex.org/W3102578942"],"related_works":["https://openalex.org/W2354844879","https://openalex.org/W2137652538","https://openalex.org/W2067133893","https://openalex.org/W1499086829","https://openalex.org/W2033311682","https://openalex.org/W4212808623","https://openalex.org/W2029981401","https://openalex.org/W3149033142","https://openalex.org/W2022506535","https://openalex.org/W1967930470"],"abstract_inverted_index":{"We":[0],"broaden":[1],"the":[2,13,27,81,89,126,144],"study":[3],"of":[4,15,83,91,128,151],"circulant":[5,28],"Quantum":[6],"Markov":[7],"Semigroups":[8],"(QMS).":[9],"First,":[10],"we":[11,44,95,137],"introduce":[12],"notions":[14],"[Formula:":[16,22,32,40,48,57,61,66,73,78,84,92,98,107,111,117,122,129,133,152],"see":[17,23,33,41,49,58,62,67,74,79,85,93,99,108,112,118,123,130,134,153],"text]-circulant":[18,24,50,68,119,154],"GKSL":[19,51],"generator":[20,52],"and":[21,121,148],"QMS":[25],"from":[26],"case,":[29],"corresponding":[30],"to":[31,35,142],"text],":[34,59,94],"an":[36,115],"arbitrary":[37],"finite":[38],"group":[39],"text].":[42,75,135],"Second,":[43],"show":[45],"that":[46,97],"each":[47],"has":[53,101],"a":[54,65],"block-diagonal":[55,104],"representation":[56,106],"where":[60,110],"text]":[63,80,86,100,109,113,124,131],"is":[64,114,125],"matrix":[69,105,120],"determined":[70],"by":[71,77,88],"some":[72],"Denoting":[76],"subgroup":[82],"generated":[87],"support":[90],"prove":[96],"its":[102],"own":[103],"irreducible":[116],"index":[127],"in":[132],"Finally,":[136],"exploit":[138],"such":[139],"block":[140],"representations":[141],"characterize":[143],"structure,":[145],"steady":[146],"states,":[147],"asymptotic":[149],"evolution":[150],"QMSs.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
