Bell inequalities, classical cryptography and fractals

E. Shchukin

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arXiv · quant-ph/0703259

Bell inequalities, classical cryptography and fractals

E. Shchukin

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Abstract

The relation between the boolean functions and Bell inequalities for qubits is analyzed. The connection between the maximal quantum violation of a Bell inequality and the nonlinearity of the corresponding boolean function is discussed. A visualization scheme of boolean functions is proposed. An attempt to classify Bell inequalities for qubits is made, a weaker result (classification with respect to Jevons group) is obtained. The fractal structure of the classification is shown. All constructs are illustrated by Mathematica code.

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E. Shchukin. 2007-04-04. Bell inequalities, classical cryptography and fractals. https://arxiv.org/abs/quant-ph/0703259

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