Lecture 15, HUJI MIP* seminar
Автор: MIP* HUJI seminar
Загружено: 2021-04-19
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Speaker: Alon Dogon
This is the second part of the talk
Title: Kirchberg's QWEP conjecture and its relation to Tsirelson's problem
Abstract:
The talk is devoted to proving that Kirchberg's QWEP Conjecture implies the positive answer to Tsirelson's Problem. The latter is a fundamental question in quantum information theory concerning equality of different correlation sets modeling strategies for non-local games. The former is an important operator-algebraic question involving the full C*-algebra of the free group, which emerges naturally due to the fact that there is no canonical definition of the tensor product for C*-algebras. On the way we will understand quantum-commuting correlations better, and prove that they form a closed convex set.
Last semester we explained why Tsirelson's problem has a negative answer as a consequence of MIP*=RE, thus, Kirchberg's conjecture is refuted. All the necessary definitions from both quantum information and operator algebras will be provided in the talk.
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