Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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