Regular Article

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

¹ Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow 119991, Russia
² Moscow State Technical University, The 2nd Baumanskaya Street 5, Moscow 105005, Russia
³ Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow Region 141700, Russia

^a e-mail: manko@lebedev.ru

Received: 12 September 2018
Received in final form: 16 November 2018
Published online: 15 January 2019

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.