Marco Piani, University of Strathclyde, Glascow
Quantum correlations exhibit a variety of non-classical features, which include quantum entanglement, quantum steering, and quantum discord. Such richness and diversity of quantum features calls for meaningful and quantitative approaches to their study. In this talk I will illustrate how it is possible to exploit techniques and insight from convex optimization, especially from semidefinite programming, to provide an operational quantification and interpretation of all the above aspects of the quantumness of correlations. Here, “operational” refers to the consideration of quantum information processing tasks: of process discrimination in the case of entanglement and steering, and of the transmission and redistribution of correlations in the case of quantum discord.