{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:08:40Z","timestamp":1753880920246,"version":"3.41.2"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100004281","name":"Narodowe Centrum Nauki","doi-asserted-by":"crossref","award":["DEC-2015\/18\/A\/ST2\/00274"],"award-info":[{"award-number":["DEC-2015\/18\/A\/ST2\/00274"]}],"id":[{"id":"10.13039\/501100004281","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001870","name":"Foundation for Polish Science","doi-asserted-by":"crossref","award":["POIR.04.04.00-00-17C1\/18-00"],"award-info":[{"award-number":["POIR.04.04.00-00-17C1\/18-00"]}],"id":[{"id":"10.13039\/501100001870","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> We study the problem of accessibility in a set of classical and quantum channels admitting a group structure. Group properties of the set of channels, and the structure of the closure of the analyzed group [Formula: see text] plays a pivotal role in this regard. The set of all convex combinations of the group elements contains a subset of channels that are accessible by a dynamical semigroup. We demonstrate that accessible channels are determined by probability vectors of weights of a convex combination of the group elements, which depend neither on the dimension of the space on which the channels act, nor on the specific representation of the group. Investigating geometric properties of the set [Formula: see text] of accessible maps we show that this set is nonconvex, but it enjoys the star-shape property with respect to the uniform mixture of all elements of the group. We demonstrate that the set [Formula: see text] covers a positive volume in the polytope of all convex combinations of the elements of the group. <\/jats:p>","DOI":"10.1142\/s1230161222500020","type":"journal-article","created":{"date-parts":[[2022,8,31]],"date-time":"2022-08-31T03:01:15Z","timestamp":1661914875000},"source":"Crossref","is-referenced-by-count":0,"title":["Accessible Maps in a Group of Classical or Quantum Channels"],"prefix":"10.1142","volume":"29","author":[{"given":"Koorosh","family":"Sadri","sequence":"first","affiliation":[{"name":"Department of Physics, Sharif University of Technology, Tehran, Iran"}]},{"given":"Fereshte","family":"Shahbeigi","sequence":"additional","affiliation":[{"name":"Department of Physics, Sharif University of Technology, Tehran, Iran"},{"name":"Center for Theoretical Physics, Polish Academy of Sciences, 02\u2013668 Warsaw, Poland"}]},{"given":"Zbigniew","family":"Pucha\u0142a","sequence":"additional","affiliation":[{"name":"Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, 44\u2013100 Gliwice, Poland"},{"name":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krak\u00f3w, Poland"}]},{"given":"Karol","family":"\u017byczkowski","sequence":"additional","affiliation":[{"name":"Center for Theoretical Physics, Polish Academy of Sciences, 02\u2013668 Warsaw, Poland"},{"name":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krak\u00f3w, Poland"}]}],"member":"219","published-online":{"date-parts":[[2022,8,31]]},"reference":[{"key":"S1230161222500020BIB001","doi-asserted-by":"publisher","DOI":"10.1063\/1.522979"},{"key":"S1230161222500020BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608499"},{"key":"S1230161222500020BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161217400017"},{"key":"S1230161222500020BIB004","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.150402"},{"volume-title":"Open Quantum Systems. 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