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arXiv · 1902.03613

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'ko
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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.

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Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko. 2019-02-10. Correlations in a system of classical--like coins simulating spin-1/2 states in the probability representation of quantum mechanics. https://doi.org/10.1140/epjd%2Fe2018-90487-9

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