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Probability Representation of Photon States and Tomography†

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Journal of Russian Laser Research Aims and scope

Abstract

We give a review of the tomographic probability representation of quantum mechanics. We present the formalism of quantum states and quantum observables using the formalism of standard probability distributions and classical-like random variables. We study the coherent and number states of photons in the probability representation and obtain the evolution equation and energy spectra in the form of equations for probability distributions.

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Authors and Affiliations

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

    Vladimir N. Chernega, Olga V. Man’ko & Vladimir I. Man’ko

  2. Bauman Moscow State Technical University, The 2nd Baumanskaya Str. 5, Moscow, 105005, Russia

    Olga V. Man’ko

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

    Vladimir I. Man’ko

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

    Vladimir I. Man’ko

  5. Department of Physics, Tomsk State University, Tomsk, 634050, Russia

    Vladimir I. Man’ko

Authors
  1. Vladimir N. Chernega
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  2. Olga V. Man’ko
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  3. Vladimir I. Man’ko
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Correspondence to Vladimir I. Man’ko.

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Manuscript submitted by the authors in English on September 23, 2019.

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Chernega, V.N., Man’ko, O.V. & Man’ko, V.I. Probability Representation of Photon States and Tomography†. J Russ Laser Res 40, 503–514 (2019). https://doi.org/10.1007/s10946-019-09831-2

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  • DOI: https://doi.org/10.1007/s10946-019-09831-2

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