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It is shown that it provides the quantum counterpart of the classical speed limit derived in <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mtext class=\"MJX-tex-mathit\" mathvariant=\"italic\">Phys. Rev. Lett. 120 (2018), 070402<\/mml:mtext><\/mml:mrow><\/mml:math> and the <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi class=\"MJX-variant\">\u210f<\/mml:mi><mml:mo stretchy=\"false\">\u2192<\/mml:mo><mml:mn>0<\/mml:mn><\/mml:math> limit of the former yields the latter. The existence of classical limit is related to the degree of mixing of the quantum state.<\/jats:p>","DOI":"10.22331\/q-2021-06-24-482","type":"journal-article","created":{"date-parts":[[2021,7,5]],"date-time":"2021-07-05T20:59:02Z","timestamp":1625518742000},"page":"482","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Classical and quantum speed limits"],"prefix":"10.22331","volume":"5","author":[{"given":"Katarzyna","family":"Bolonek-Laso\u0144","sequence":"first","affiliation":[{"name":"Department of Statistical Methods, Faculty of Economics and Sociology University of Lodz, 41\/43 Rewolucji 1905 St., 90-214 Lodz, Poland"}]},{"given":"Joanna","family":"Gonera","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Faculty of Physics and Applied Informatics University of Lodz, 149\/153 Pomorska St., 90-236 Lodz, Poland"}]},{"given":"Piotr","family":"Kosi\u0144ski","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Faculty of Physics and Applied Informatics University of Lodz, 149\/153 Pomorska St., 90-236 Lodz, Poland"}]}],"member":"9598","published-online":{"date-parts":[[2021,6,24]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"L. 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