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From Bell Inequalities to Tsirelson's Theorem: A Survey

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arxiv 0812.4887 v1 pith:UKK4MQN2 submitted 2008-12-29 quant-ph

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keywords parttheoremtsirelsonbellinequalitiesboundsobtainedsurvey
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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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  1. Quantum advantage in decentralized control of POMDPs: A control-theoretic view of the Mermin-Peres square

    math.OC 2025-01 conditional novelty 6.0 of 10

    In a specifically designed two-agent decentralized POMDP, quantum entanglement supplied at a fixed rate strictly beats every classical strategy with common randomness under the long-term average reward criterion.

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