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Description of the evolution of finite-dimensional quantum systems by permutation groups
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 134-152 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider constructive approaches to quantum theory: quantum \break mechanics based on permutation representations of finite groups and the Weyl–Schwinger finite phase space quantum mechanics. We show that both approaches lead to the conclusion that, at a deep level, quantum evolution is based on permutations of finite sets. 
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V. V. Kornyak. Description of the evolution of finite-dimensional quantum systems by permutation groups. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 134-152. http://geodesic.mathdoc.fr/item/ZNSL_2023_528_a8/

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