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

## TL;DR

This paper introduces a classical coin-based model to represent qubit states, establishing a correlation framework that bridges classical probability with quantum spin-1/2 systems.

## Contribution

It presents a novel bijective mapping of qubit states onto three classical coins, linking classical correlations with quantum observables in the probability representation.

## Key findings

- Mapping of qubit states onto classical coins established
- Correlation structures mimic quantum spin-1/2 properties
- Connection between classical coin statistics and quantum statistics demonstrated

## 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.