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The Discrete Center-of-Mass Tomogram

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Abstract

A new tomographic function is introduced for the description of qudit states. We utilize the discrete space phase formalism and an analogy with continuous variables systems. It is proved that the new function is nonnegative, normalized and that it unambiguously determines the state. The new function is called the discrete center-of-mass tomogram as it has a counterpart used to determine the states of continuous variables systems.

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Acknowledgments

The work of V. I. Man’ko was supported by the Russian Science Foundation grant No.19-71-10091.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Science, Gubkina st. 8, Moscow, 119991, Russia

    Avanesov A. S.

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

    Avanesov A. S. & Man’ko V. I.

  3. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Avanesov A. S. & Man’ko V. I.

  4. Russian Quantum Center, Skolkovo, Moscow, 143025, Russia

    Man’ko V. I.

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  1. Avanesov A. S.
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S., A.A., I., M.V. The Discrete Center-of-Mass Tomogram. Int J Theor Phys 59, 2404–2424 (2020). https://doi.org/10.1007/s10773-020-04511-3

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