This progress report covers recent developments in the area of quantum randomness, which
is an extraordinarily interdisciplinary area that belongs not only to physics, but also to …

Contextuality is a hallmark feature of the quantum theory that captures its incompatibility with
any noncontextual hidden-variable model. The Greenberger-Horne-Zeilinger (GHZ)–type …

This paper provides new observations on the Lovász θ-function of graphs. These include a
simple closed-form expression of that function for all strongly regular graphs, together with …

Recently the power of positive partial transpose preserving (PPTp) and no-signalling (NS)
codes in quantum communication has been studied. We continue with this line of research …

We explore several new converse bounds for classical communication over quantum
channels in both the one-shot and asymptotic regimes. First, we show that the Matthews …

Uncertainty relations are a fundamental feature of quantum mechanics. How can these
relations be found systematically? Here, we develop a semidefinite programming hierarchy …

We introduce potential capacities of quantum channels in an operational way and provide
upper bounds for these quantities, which quantify the ultimate limit of usefulness of a …

This thesis aims to improve our understanding of the structure of quantum entanglement and
the limits of information processing with quantum systems. It presents new results relevant to …

We define the relative fractional independence number of a graph $ G $ with respect to
another graph $ H $, as $$\alpha^*(G| H)=\max_ {W}\frac {\alpha (G\boxtimes W)}{\alpha …

We study quantum versions of the Shannon capacity of graphs and non-commutative
graphs. We introduce the asymptotic spectrum of graphs with respect to quantum and …