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

In both classical and quantum many-body physics, it is a core issue to characterize statistical
correlations among different degrees of freedom. From this point of view, a natural question …

The standard definition of genuine multipartite entanglement stems from the need to assess
the quantum control over an ever-growing number of quantum systems. We argue that this …

Quantum networks are promising tools for the implementation of long-range quantum
communication. The characterization of quantum correlations in networks and their …

In research concerning quantum networks, it is often assumed that the parties can classically
communicate with each other. However, classical communication might introduce a …

Distributed quantum information in networks is paramount for global secure quantum
communication. Moreover, it finds applications as a resource for relevant tasks, such as …

Quantum networks lead to novel notions of locality and correlations and an important
problem concerns the question of which quantum states can be experimentally prepared …

Quantum nonlocality as a witness of entanglement plays a crucial role in various fields.
Existing quantum monogamy relations rule out the possibility of simultaneous violations of …

Beyond future applications, quantum networks open interesting fundamental perspectives,
notably novel forms of quantum correlations. In this Letter we discuss quantum correlations …

Bell's theorem shows that correlations created by a single entangled quantum state cannot
be reproduced classically. Such correlations are called nonlocal. They are the elementary …