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Star-Product Formalism for the Probability and Mean-Value Representations of Qudits

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Journal of Russian Laser Research Aims and scope

A Correction to this article was published on 05 January 2021

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We develop the quantizer–dequantizer formalism for the probability and mean-value representations of qubits and qutrits. In these representations, the elements of symbols of operators are measurable physical quantities. We derive the star-product kernels, which lead to explicit expressions of the associative product of the symbols of the density operators and quantum observables for qubits. The extension of the quantizer–dequantizer formalism associated with the probability and mean-value descriptions of qudit states is discussed.

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  • 05 January 2021

    In section Acknowledgments, the Russian Science Foundation Grant No. 1871-10091 should read No. 1971-10091.

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Authors and Affiliations

  1. Institute for Solid State Physics and Optics Wigner Research Centre for Physics, H-1525, Budapest, P.O. Box 49, Hungary

    Peter Adam

  2. Institute of Physics, University of Pécs, Ifjúságútja 6, H-7624, Pécs, Hungary

    Peter Adam & Matyas Mechler

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

    Vladimir A. Andreev, Margarita A. Man’ko & Vladimir I. Man’ko

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

    Vladimir I. Man’ko

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

    Vladimir I. Man’ko

  6. Department of Physics, Tomsk State University, Lenin Avenue 36, Tomsk, 634050, Russia

    Vladimir I. Man’ko

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  1. Peter Adam
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  2. Vladimir A. Andreev
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  3. Margarita A. Man’ko
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  4. Vladimir I. Man’ko
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  5. Matyas Mechler
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Correspondence to Vladimir A. Andreev.

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Adam, P., Andreev, V.A., Man’ko, M.A. et al. Star-Product Formalism for the Probability and Mean-Value Representations of Qudits. J Russ Laser Res 41, 470–483 (2020). https://doi.org/10.1007/s10946-020-09900-x

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  • DOI: https://doi.org/10.1007/s10946-020-09900-x

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