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God Plays Coins or Superposition Principle for Classical Probabilities in Quantum Suprematism Representation of Qubit States
Authors:Vladimir N. Chernega  Olga V. Man’ko  Vladimir I. Man’ko
Affiliation:1.Lebedev Physical Institute,Russian Academy of Sciences,Moscow,Russia;2.Bauman Moscow State Technical University,Moscow,Russia;3.Moscow Institute of Physics and Technology (State University),Dolgoprudny,Russia
Abstract:We construct the quantum density matrix of a spin-1/2 state for three given probability distributions describing positions of three classical coins and associate its matrix elements with the Triada of Malevich’s squares. We present the superposition principle of spin-1/2 states in the form of a nonlinear addition rule for these classical coin probabilities. We illustrate the obtained formulas by the statement “God does not play dice – God plays coins.”
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