From Bell Inequalities to Tsirelson's Theorem: A Survey

Details From Bell Inequalities to Tsirelson's Theorem: A Survey From Bell Inequalities to Tsirelson's Theorem: A Survey

2008-12-29

arxiv.org/abs/0812.4887v1

IEICE Trans. on Fundamentals, vol. E92-A, No.5, pp.1254-1267, 2009

Physics

Quantum Physics

25 pages

Scientific paper

The first part of this paper contains an introduction to Bell inequalities and Tsirelson's theorem for the non-specialist. The next part gives an explicit optimum construction for the "hard" part of Tsirelson's theorem. In the final part we describe how upper bounds on the maximal quantum violation of Bell inequalities can be obtained by an extension of Tsirelson's theorem, and survey very recent results on how exact bounds may be obtained by solving an infinite series of semidefinite programs.

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