Bell's theorem proves that quantum theory is inconsistent with local physical models. It has
propelled research in the foundations of quantum theory and quantum information science …

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

Networks have advanced the study of nonlocality beyond Bell's theorem. Here, we introduce
the concept of full network nonlocality, which describes correlations that necessitate all links …

In a Bell experiment, it is natural to seek a causal account of correlations wherein only a
common cause acts on the outcomes. For this causal structure, Bell inequality violations can …

Network Bell experiments give rise to a form of quantum nonlocality that conceptually goes
beyond Bell's theorem. We investigate here the simplest network, known as the bilocality …

We show that some tripartite quantum correlations are inexplicable by any causal theory
involving bipartite nonclassical common causes and unlimited shared randomness. This …

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

The development of large-scale quantum networks promises to bring a multitude of
technological applications as well as shed light on foundational topics, such as quantum …

Networks composed of independent sources of entangled particles that connect distant
users are a rapidly developing quantum technology and an increasingly promising test-bed …

Quantum networks play a major role in long-distance communication, quantum
cryptography, clock synchronization, and distributed quantum computing. Generally, these …