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Nonnegative Discrete Symbols and Their Probabilistic Interpretation

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Journal of Russian Laser Research Aims and scope

Abstract

We review the quantizer–dequantizer formalism of constructing symbols of the density operators and quantum observables, such as Wigner functions and tomographic-probability distributions. We present a tutorial consideration of the technique of obtaining minimal sets of dequantizers (quorum) related to the observable eigenvalues for one-qubit states. We discuss a generalization of the quantizer–dequantizer scheme on the example of spin-1/2 states. We consider the possibilities of extending the results to two-qubit systems using spin tomograms of the state density matrix.

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Authors and Affiliations

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

    Peter Adam

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

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

  3. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russia

    Vladimir I. Man’ko

Authors
  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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Correspondence to Vladimir A. Andreev.

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Adam, P., Andreev, V.A., Man’ko, M.A. et al. Nonnegative Discrete Symbols and Their Probabilistic Interpretation. J Russ Laser Res 38, 491–506 (2017). https://doi.org/10.1007/s10946-017-9673-1

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  • DOI: https://doi.org/10.1007/s10946-017-9673-1

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