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Reconstruction of a pure state from incomplete information on its optical tomogram. / Amosov, G. G.; Dnestryan, A. I.

In: Russian Mathematics, Vol. 57, No. 3, 01.03.2013, p. 51-55.

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

Harvard

Amosov, GG & Dnestryan, AI 2013, 'Reconstruction of a pure state from incomplete information on its optical tomogram', Russian Mathematics, vol. 57, no. 3, pp. 51-55. https://doi.org/10.3103/S1066369X13030079

APA

Amosov, G. G., & Dnestryan, A. I. (2013). Reconstruction of a pure state from incomplete information on its optical tomogram. Russian Mathematics, 57(3), 51-55. https://doi.org/10.3103/S1066369X13030079

Vancouver

Amosov GG, Dnestryan AI. Reconstruction of a pure state from incomplete information on its optical tomogram. Russian Mathematics. 2013 Mar 1;57(3):51-55. https://doi.org/10.3103/S1066369X13030079

Author

Amosov, G. G. ; Dnestryan, A. I. / Reconstruction of a pure state from incomplete information on its optical tomogram. In: Russian Mathematics. 2013 ; Vol. 57, No. 3. pp. 51-55.

BibTeX

@article{c5138dc82a7e4f1881347e827dfb0a7c,
title = "Reconstruction of a pure state from incomplete information on its optical tomogram",
abstract = "We consider the problem of reconstructing a state (i.e., a positive unit-trace operator) fromincomplete information on its optical tomogram. For the case, when a (pure) state is determined by a function representing a linear combination of N ground and excited states of a quantum oscillator, we propose a technique for reconstructing this state from N values of its tomogram. For N = 3 we find an exact solution to the problem under consideration.",
keywords = "eigenfunctions of integral operator, Keywords and phrases: state, optical tomogram",
author = "Amosov, {G. G.} and Dnestryan, {A. I.}",
year = "2013",
month = mar,
day = "1",
doi = "10.3103/S1066369X13030079",
language = "English",
volume = "57",
pages = "51--55",
journal = "Russian Mathematics",
issn = "1066-369X",
publisher = "Allerton Press, Inc.",
number = "3",

}

RIS

TY - JOUR

T1 - Reconstruction of a pure state from incomplete information on its optical tomogram

AU - Amosov, G. G.

AU - Dnestryan, A. I.

PY - 2013/3/1

Y1 - 2013/3/1

N2 - We consider the problem of reconstructing a state (i.e., a positive unit-trace operator) fromincomplete information on its optical tomogram. For the case, when a (pure) state is determined by a function representing a linear combination of N ground and excited states of a quantum oscillator, we propose a technique for reconstructing this state from N values of its tomogram. For N = 3 we find an exact solution to the problem under consideration.

AB - We consider the problem of reconstructing a state (i.e., a positive unit-trace operator) fromincomplete information on its optical tomogram. For the case, when a (pure) state is determined by a function representing a linear combination of N ground and excited states of a quantum oscillator, we propose a technique for reconstructing this state from N values of its tomogram. For N = 3 we find an exact solution to the problem under consideration.

KW - eigenfunctions of integral operator

KW - Keywords and phrases: state

KW - optical tomogram

UR - http://www.scopus.com/inward/record.url?scp=84876231479&partnerID=8YFLogxK

U2 - 10.3103/S1066369X13030079

DO - 10.3103/S1066369X13030079

M3 - Article

AN - SCOPUS:84876231479

VL - 57

SP - 51

EP - 55

JO - Russian Mathematics

JF - Russian Mathematics

SN - 1066-369X

IS - 3

ER -

ID: 41888036