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Mathematics Colloquium


Date:  Tuesday, March 20, 2012

Title:  Dvoretzky's theorem and additivity conjectures in quantum information theory

Abstract:  The quest to build a quantum computer is one of the major scientific and technological chalenges of the 21st century, and quantum information theory (QIT) provides theoretical framework for that quest. Over the last few years it became clear that QIT enjoys very close links to geometric functional analysis (Banach space theory, operator spaces). In this talk we will exemplify these links by showing how the questions about additivity properties of quantum channels, recently solved by Hayden-Winter and Hastings, can be reformulated (and answered) as instances of Dvoretzky's theorem on almost spherical sections of convex bodies. Based on joint work with G. Aubrun and E. Werner; arxiv:0910.1189/J. Math. Phys. (2010) and arxiv:1003.4925/Comm. Math. Physics (2011).

Speaker:  Stanislaw Szarek
Institution:  Case Western University


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