Some extremal problems related to Bell-type inequalities
Boris Tsirelson
TL;DR
This paper investigates extremal problems related to Bell-type inequalities by calculating the best approximation of simple two-valued functions of two variables using bounded product functions.
Contribution
It introduces new extremal problem formulations and provides solutions for approximating specific two-valued functions in the context of Bell inequalities.
Findings
Derived explicit bounds for approximations
Identified extremal functions achieving these bounds
Enhanced understanding of Bell-type inequality approximations
Abstract
The best approximation by bounded product functions is calculated for some very simple two-valued functions of two variables.
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Taxonomy
TopicsMathematical Inequalities and Applications