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Linear and nonlinear liftings of states of quantum systems. / Amosov, G. G.; Sakbaev, V. Zh; Smolyanov, O. G.

In: Russian Journal of Mathematical Physics, Vol. 19, No. 4, 01.12.2012, p. 417-427.

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Harvard

Amosov, GG, Sakbaev, VZ & Smolyanov, OG 2012, 'Linear and nonlinear liftings of states of quantum systems', Russian Journal of Mathematical Physics, vol. 19, no. 4, pp. 417-427. https://doi.org/10.1134/S1061920812040024

APA

Amosov, G. G., Sakbaev, V. Z., & Smolyanov, O. G. (2012). Linear and nonlinear liftings of states of quantum systems. Russian Journal of Mathematical Physics, 19(4), 417-427. https://doi.org/10.1134/S1061920812040024

Vancouver

Amosov GG, Sakbaev VZ, Smolyanov OG. Linear and nonlinear liftings of states of quantum systems. Russian Journal of Mathematical Physics. 2012 Dec 1;19(4):417-427. https://doi.org/10.1134/S1061920812040024

Author

Amosov, G. G. ; Sakbaev, V. Zh ; Smolyanov, O. G. / Linear and nonlinear liftings of states of quantum systems. In: Russian Journal of Mathematical Physics. 2012 ; Vol. 19, No. 4. pp. 417-427.

BibTeX

@article{1f2338f9a39d4cf3ad832b8d2991f051,
title = "Linear and nonlinear liftings of states of quantum systems",
abstract = " In this paper, we study the representability of an arbitrary quantum state ρ ∈ Σ(H) as the reduction of a vector state r ∈ Σ(H) of the extended system. We extend the operation of lifting from the set of states Σ n (H) to the set of generalized states Σ(H). A method of constructing the Hilbert space H and the affine linear lifting Σ(H) → Σ(H) is studied. The construction of individual expansion H ρ of the space H for which the state ρ is a reduction of a vector state H ρ is of special interest.",
author = "Amosov, {G. G.} and Sakbaev, {V. Zh} and Smolyanov, {O. G.}",
year = "2012",
month = dec,
day = "1",
doi = "10.1134/S1061920812040024",
language = "English",
volume = "19",
pages = "417--427",
journal = "Russian Journal of Mathematical Physics",
issn = "1061-9208",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "4",

}

RIS

TY - JOUR

T1 - Linear and nonlinear liftings of states of quantum systems

AU - Amosov, G. G.

AU - Sakbaev, V. Zh

AU - Smolyanov, O. G.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In this paper, we study the representability of an arbitrary quantum state ρ ∈ Σ(H) as the reduction of a vector state r ∈ Σ(H) of the extended system. We extend the operation of lifting from the set of states Σ n (H) to the set of generalized states Σ(H). A method of constructing the Hilbert space H and the affine linear lifting Σ(H) → Σ(H) is studied. The construction of individual expansion H ρ of the space H for which the state ρ is a reduction of a vector state H ρ is of special interest.

AB - In this paper, we study the representability of an arbitrary quantum state ρ ∈ Σ(H) as the reduction of a vector state r ∈ Σ(H) of the extended system. We extend the operation of lifting from the set of states Σ n (H) to the set of generalized states Σ(H). A method of constructing the Hilbert space H and the affine linear lifting Σ(H) → Σ(H) is studied. The construction of individual expansion H ρ of the space H for which the state ρ is a reduction of a vector state H ρ is of special interest.

UR - http://www.scopus.com/inward/record.url?scp=84871103337&partnerID=8YFLogxK

U2 - 10.1134/S1061920812040024

DO - 10.1134/S1061920812040024

M3 - Article

AN - SCOPUS:84871103337

VL - 19

SP - 417

EP - 427

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 4

ER -

ID: 41888087