dorsal/arxiv
View SchemaBell inequalities, classical cryptography and fractals
| Authors | E. Shchukin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703259 |
| URL | https://arxiv.org/abs/quant-ph/0703259 |
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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"date_created": "2026-03-02T18:02:37.847000Z",
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"abstract": "The relation between the boolean functions and Bell inequalities for qubits\nis analyzed. The connection between the maximal quantum violation of a Bell\ninequality and the nonlinearity of the corresponding boolean function is\ndiscussed. A visualization scheme of boolean functions is proposed. An attempt\nto classify Bell inequalities for qubits is made, a weaker result\n(classification with respect to Jevons group) is obtained. The fractal\nstructure of the classification is shown. All constructs are illustrated by\nMathematica code.",
"arxiv_id": "quant-ph/0703259",
"authors": [
"E. Shchukin"
],
"categories": [
"quant-ph"
],
"title": "Bell inequalities, classical cryptography and fractals",
"url": "https://arxiv.org/abs/quant-ph/0703259"
},
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"execution_id": "58456d85-1eed-4656-8660-b89d7311a9fa",
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