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 …

Quantum theory is commonly formulated in complex Hilbert spaces. However, the question
of whether complex numbers need to be given a fundamental role in the theory has been …

In the past decade, the toolkit of quantum information has been expanded to include
processes in which the basic operations do not have definite causal relations. Originally …

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 …

We use hyperentanglement to experimentally realize deterministic entanglement swap**
based on quantum elegant joint measurements. These are joint projections of two qubits …

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 …

These are exciting times for quantum physics as new quantum technologies are expected to
soon transform computing at an unprecedented level. Simultaneously network science is …

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

Certifying quantum properties with minimal assumptions is a fundamental problem in
quantum information science. Self-testing is a method to infer the underlying physics of a …