Convex algebraic geometry of quantum correlations

Date: Thursday 8 June 2023

Abstract

Linear algebra has been a successful and important tool in many branches of science because it provides methods and tools to deal with first-order approximations of natural phenomena. But these phenomena are certainly nonlinear in nature and so the more powerful methods of nonlinear algebra are required for better descriptions. In quantum information, very often we have to deal with convex semialgebraic objects which are the intended objects of study for an emerging field: convex algebraic geometry. In this talk, I will showcase a successful example in the study of quantum correlations. This is an important problem in quantum physics dating back to 1980. It turns out that many concepts and tools from convex algebraic geometry are of immediate relevance to answer questions posed by physicists. This talk serves as an invitation to join this new and active research field.