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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2021 Volume 501, Pages 57–61 (Mi danma20)

This article is cited in 5 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.

UDC: 517.17

Received: 08.11.2021
Revised: 08.11.2021
Accepted: 18.11.2021

DOI: 10.31857/S2686954321060114


 English version:
Doklady Mathematics, 2021, 104:3, 365–368

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© Steklov Math. Inst. of RAS, 2025