God plays coins or superposition principle for classical probabilities in quantum suprematism representation of qubit states

Abstract

For three given probability distributions describing positions of three classical coins the quantum density matrix of spin-$1/2$ state is constructed and its matrix elements are associated with triada of Malevich's squares. The superposition principle of spin-$1/2$ 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".

Misprints are corrected, to be published in Journal of Russian Laser Research

References in corpus (3)

• Metric on the space of quantum states from relative entropy. Tomographic reconstruction
• Triangle geometry of the qubit state in the probability representation expressed in terms of the triada of Malevich's Squares
• Probability representation of quantum observable and quantum states

Cited by in corpus (6)

• Geometry and Entanglement of Two-Qubit States in the Quantum Probabilistic Representation
• Probability representation of quantum dynamics using pseudostochastic maps
• Correlations in a system of classical--like coins simulating spin-1/2 states in the probability representation of quantum mechanics
• Probability representation of quantum states as a renaissance of hidden variables -- God plays coins
• Spin kinetic equations in the probability representation of quantum mechanics
• Probability representation of photon states and tomography