{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T15:15:46Z","timestamp":1761664546630,"version":"3.41.2"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"CONACYT-Mexico","award":["CF-2019-684340"],"award-info":[{"award-number":["CF-2019-684340"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2023,3]]},"abstract":"<jats:p> We broaden the study of circulant Quantum Markov Semigroups (QMS). First, we introduce the notions of [Formula: see text]-circulant GKSL generator and [Formula: see text]-circulant QMS from the circulant case, corresponding to [Formula: see text], to an arbitrary finite group [Formula: see text]. Second, we show that each [Formula: see text]-circulant GKSL generator has a block-diagonal representation [Formula: see text], where [Formula: see text] is a [Formula: see text]-circulant matrix determined by some [Formula: see text]. Denoting by [Formula: see text] the subgroup of [Formula: see text] generated by the support of [Formula: see text], we prove that [Formula: see text] has its own block-diagonal matrix representation [Formula: see text] where [Formula: see text] is an irreducible [Formula: see text]-circulant matrix and [Formula: see text] is the index of [Formula: see text] in [Formula: see text]. Finally, we exploit such block representations to characterize the structure, steady states, and asymptotic evolution of [Formula: see text]-circulant QMSs. <\/jats:p>","DOI":"10.1142\/s1230161223500026","type":"journal-article","created":{"date-parts":[[2023,4,4]],"date-time":"2023-04-04T08:45:43Z","timestamp":1680597943000},"source":"Crossref","is-referenced-by-count":1,"title":["G-Circulant Quantum Markov Semigroups"],"prefix":"10.1142","volume":"30","author":[{"given":"Jorge R.","family":"Bola\u00f1os-Serv\u00edn","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico"}]},{"given":"Roberto","family":"Quezada","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico"}]},{"given":"Josu\u00e9","family":"V\u00e1zquez-Becerra","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana, Iztapalapa Campus, San Rafael Atlixco 186, 09340 Iztapalapa, Mexico City, Mexico"}]}],"member":"219","published-online":{"date-parts":[[2023,3,31]]},"reference":[{"key":"S1230161223500026BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S0219025716500090"},{"key":"S1230161223500026BIB002","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1007\/BF01391504","volume":"258","author":"Agarwal G. 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