Quantum correlations between two parties are essential for the argument of Einstein,
Podolsky, and Rosen in favor of the incompleteness of quantum mechanics. Schrödinger …

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

Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

Shor's factoring algorithm provides a superpolynomial speedup over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …

We establish an operational characterization of general convex resource theories—
describing the resource content of not only states but also measurements and channels …

Resource theories can be used to formalize the quantification and manipulation of resources
in quantum information processing such as entanglement, asymmetry and coherence of …

We consider a thermodynamic framework to quantify instrument incompatibility via a
resource theory subject to thermodynamic constraints. We use the minimal thermalization …

We demonstrate that quantum incompatibility can always be detected by means of a state
discrimination task with partial intermediate information. This is done by showing that only …

For any resource theory it is essential to identify tasks for which resource objects offer
advantage over free objects. We show that this identification can always be accomplished …

In quantum mechanics performing a measurement is an invasive process which generally
disturbs the system. Due to this phenomenon, there exist incompatible quantum …