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Colloquium: ''Quantum Correlations, Tensor Norms and the Connes Embedding Problem'', Magdalena Musat, University of Copenhagen

Seminarium

Tid: 2018-04-04 15:30 till: 16:30
Plats: Hörmander lecture hall
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In 1980, Tsirelson showed that Bell’s inequalities—that have played an important role in distinguishing classical correlations from quantum ones, and that were used to test, and ultimately disprove the Einstein-Podolski-Rosen postulate of “hidden variables", coincide with Grothendieck’s famous inequalities from functional analysis. Tsirelson further studied sets of quantum correlations arising under two different assumptions of commutativity of observables. While he showed that they are the same in the finite dimensional case, the equality of these sets was later proven to be equivalent to the most famous still open question in operator algebras theory: the Connes embedding problem.

In joint work with Haagerup, we established in 2015 a reformulation of the Connes embedding problem in terms of an asymptotic property of quantum channels posessing a certain factorizability property (that originates in operator algebras). Concrete examples, new results and open problems will also be discussed.