A cb-Bohnenblust-Hille Inequality with Constant One and Its Applications in Learning Theory

Explore a 41-minute lecture on the cb-Bohnenblust-Hille inequality and its applications in quantum learning theory. Delve into the main result demonstrating that the Bohnenblust-Hille inequality for m-homogeneous polynomials holds with constant one when using the completely bounded norm instead of the operator norm. Discover the interesting consequences of this finding in quantum learning theory. Examine the extension of the Bohnenblust-Hille inequality to other contexts, including recent results by Volberg and Zhang. Learn about the application of this inequality within the framework of "Learning Low-Degree Quantum Objects." Gain insights into advanced mathematical concepts and their relevance to quantum computing and learning theory from Francisco Escudero Gutiérrez at the Hausdorff Center for Mathematics.