State polynomials: positivity, optimization and nonlinear Bell inequalities

Overview of attention for article published in Mathematical Programming, November 2023

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RT @mathFAbot: Igor Klep, Victor Magron, Jurij Volčič, Jie Wang: State polynomials: positivity, optimization and nonlinear Bell inequalitie…

exploited. To obtain the above-mentioned results, techniques from noncommutative algebra, real algebraic geometry, operator theory, and convex optimization are employed. [7/7 of https://t.co/GKgiKnMDyn]

quadratic Bell inequalities in the bipartite and the bilocal tripartite scenario are analyzed. To reduce the size of the constructed SDPs, sparsity, sign symmetry and conditional expectation of the observables' group structure are [6/7 of https://t.co/G…

the study of correlations in quantum networks. Determining the maximal quantum violation of a polynomial Bell inequality for an arbitrary network is reformulated as a state polynomial optimization problem. Several examples of [5/7 of https://t.co/GKgiKn…

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