Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

State, trace, and moment polynomials are polynomial expressions in several operator or
random variables and positive functionals on their products (states, traces or expectations) …

With limited control over quantum systems, how can we extract information about them and
characterize their properties? This thesis addresses this question from several perspectives …

Characterizing the set of correlations that can arise from performing measurements in a
quantum description of Nature is a relevant, but challenging task. Such a characterization …