God plays coins or superposition principle for classical probabilities in quantum suprematism representation of qubit states
Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko

TL;DR
This paper explores a novel quantum representation of classical coin probabilities using spin-$1/2$ states and Malevich's squares, revealing a superposition principle as a nonlinear addition rule for classical probabilities.
Contribution
It introduces a quantum-like framework for classical probabilities, linking them to quantum density matrices and superposition principles in a geometric representation.
Findings
Quantum density matrices constructed from classical coin probabilities.
Superposition principle expressed as a nonlinear addition rule.
Geometric visualization using Malevich's squares.
Abstract
For three given probability distributions describing positions of three classical coins the quantum density matrix of spin- state is constructed and its matrix elements are associated with triada of Malevich's squares. The superposition principle of spin- states is presented in the form of nonlinear addition rule for these classical coin probabilities. We illustrate the formulas by the statement"God does not play dice - God plays coins".
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