SPRING SCHOOL

Title: "Semidefinite programming in quantum information sciences"

Abstract: Semidefinite programs (SDPs) are a family of well-behaved convex optimization problems with applications across disciplines from engineering to quantum physics. Many relevant problems in quantum information can be casted as an SDP.  By doing so, a plethora of powerful techniques can be exploited. During the tutorial, I will introduce the basic formalism behind SDPs, in particular, duality theorems. In the second part, we will address various applications in current research topics such as the quantum marginal problem and the certification of resources. We will also discuss the numerical implementations with commercially available packages. If time permits, we will finish the session by outlining its use to approximate the solution of a wide class of polynomial optimization problems. 

Bio  Guillem Müller-Rigat is currently a last-year PhD student at ICFO. His research focuses on developing novel theoretical tools to detect and certify quantum correlations in many-body systems. Such correlations include quantum entanglement and Bell nonlocality, which constitute a valuable resource for e.g. metrological applications and other quantum-enhanced technologies.