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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 501, Pages 57–61
DOI: https://doi.org/10.31857/S2686954321060114 (Mi danma20) 		 
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
Full-text PDF (99 kB) Citations (4)
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DOI: https://doi.org/10.31857/S2686954321060114
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
English version:
Doklady Mathematics, 2021, Volume 104, Issue 3, Pages 365–368
DOI: https://doi.org/10.1134/S1064562421060119
Bibliographic databases:
Document Type: Article
UDC: 517.17
Language: Russian
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
Citation in format AMSBIB
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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