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

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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    G. G. Amosov

  2. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow, 141700, Russia

    A. I. Dnestryan

Authors
  1. G. G. Amosov
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  2. A. I. Dnestryan
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Corresponding author

Correspondence to G. G. Amosov.

Additional information

Original Russian Text © G.G. Amosov and A.I. Dnestryan, 2013, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, No. 3, pp. 62–67.

Submitted by A.M. Bikchentaev

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

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  • DOI: https://doi.org/10.3103/S1066369X13030079

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