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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2016, Volume 20, Number 1, Pages 33–42 (Mi vsgtu1462)  

Differential Equations and Mathematical Physics

On the determination of pure quantum states by the homodyne detection

A. I. Dnestryan

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, 141700, Russian Federation

Abstract: The methods of reconstruction of the wave function of a pure state of a quantum system by quadrature distribution measured experimentally by the homodyne detection are considered. Such distribution is called optical tomogram of a state and containes one parameter $\theta$. Wave function of a state is determined exactly by its optical tomogram if last one is known for all $\theta$. But one can obtain optical tomogram from experiment of homodyne detection only for discrete number of $\theta$. We introduce some approximate methods of reconstructing the state by such information about its optical tomogram.

Keywords: quantum tomography, quantum state, density operator, wave function

DOI: https://doi.org/10.14498/vsgtu1462

Full text: PDF file (665 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 530.145.1
MSC: 81P50
Original article submitted 21/XI/2015
revision submitted – 24/II/2016

Citation: A. I. Dnestryan, “On the determination of pure quantum states by the homodyne detection”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:1 (2016), 33–42

Citation in format AMSBIB
\Bibitem{Dne16}
\by A.~I.~Dnestryan
\paper On the determination of pure quantum states by the homodyne detection
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2016
\vol 20
\issue 1
\pages 33--42
\mathnet{http://mi.mathnet.ru/vsgtu1462}
\crossref{https://doi.org/10.14498/vsgtu1462}
\zmath{https://zbmath.org/?q=an:06964470}
\elib{https://elibrary.ru/item.asp?id=26898072}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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