God Plays Coins or Superposition Principle for Classical Probabilities in Quantum Suprematism Representation of Qubit States


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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.”

作者简介

Vladimir Chernega

Lebedev Physical Institute, Russian Academy of Sciences

Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991

Olga Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Bauman Moscow State Technical University

编辑信件的主要联系方式.
Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991; The 2nd Baumanskaya Street 5, Moscow, 105005

Vladimir Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow Region, 141700

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