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This article is cited in 4 scientific papers (total in 4 papers)
MATHEMATICS
Mathematical structures related to the description of quantum states
V. V. Kozlova, O. G. Smolyanovb a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
Abstract:
Some representations of states of quantum systems are discussed, and their equivalence is proved. In particular, an approach going back to L.D. Landau in which the density operator is constructed using a reduction of a pure state of a quantum system described by the tensor product of suitable Hilbert spaces is presented. Under these assumptions, changes in the states of subsystems of a quantum system caused by experiments are investigated.
Keywords:
pure state, density operator, tensor product, reduction of states, Bell vector.
Received: 08.11.2021 Revised: 08.11.2021 Accepted: 18.11.2021
Citation:
V. V. Kozlov, O. G. Smolyanov, “Mathematical structures related to the description of quantum states”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 57–61; Dokl. Math., 104:3 (2021), 365–368
Linking options:
https://www.mathnet.ru/eng/danma20 https://www.mathnet.ru/eng/danma/v501/p57
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