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

被引：18

作者：

Chernega, Vladimir N. ^{[1
]}

Man'ko, Olga V. ^{[1
,2
]}

Man'ko, Vladimir I. ^{[1
,3
]}

机构：

[1] Russian Acad Sci, Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia

[2] Bauman Moscow State Tech Univ, 2nd Baumanskaya St 5, Moscow 105005, Russia

[3] State Univ, Moscow Inst Phys & Technol, Inst Skii Per 9, Dolgoprudnyi 141700, Moscow Region, Russia

来源：

JOURNAL OF RUSSIAN LASER RESEARCH | 2018年 / 39卷 / 02期

关键词：

superposition principle; dichotomic random variables; qubit states; Triada of Malevich's squares; probability representation; TRIANGLE GEOMETRY; SPIN STATES; ENTANGLEMENT; TOMOGRAPHY; TERMS;

D O I：

10.1007/s10946-018-9699-z

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.".

引用

页码：128 / 139

页数：12

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