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Correlations in a system of classical-like coins simulating spin-1/2 states in the probability representation of quantum mechanics

  • Vladimir N. Chernega
  • Olga V. Man’ko
  • Vladimir I. Man’koEmail author
Regular Article
Part of the following topical collections:
  1. Topical Issue: Quantum Correlations

Abstract

An analog of classical “hidden variables” for qubit states is presented. The states of qubit (two-level atom, spin-1/2 particle) are mapped onto the states of three classical-like coins. The bijective map of the states corresponds to the presence of correlations of random classical-like variables associated with the coin positions “up” or “down” and the observables are mapped onto quantum observables described by Hermitian matrices. The connection of the classical-coin statistics with the statistical properties of qubits is found.

Graphical abstract

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Vladimir N. Chernega
    • 1
  • Olga V. Man’ko
    • 1
    • 2
  • Vladimir I. Man’ko
    • 1
    • 3
    Email author
  1. 1.Lebedev Physical Institute, Russian Academy of SciencesMoscowRussia
  2. 2.Moscow State Technical UniversityMoscowRussia
  3. 3.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow RegionRussia

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