Self-testing is a method to infer the underlying physics of a quantum experiment in a black
box scenario. As such it represents the strongest form of certification for quantum systems. In …

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 …

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 …

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

Bell inequalities play a key role in certifying quantum properties for device-independent
quantum information protocols. It is still a major challenge, however, to devise Bell …

Mutually entangled multi-photon states are at the heart of all-optical quantum technologies.
While impressive progresses have been reported in the generation of such quantum light …

Quantum mechanics imposes limits on the statistics of certain observables. Perhaps the
most famous example is the uncertainty principle. Similar trade-offs also exist for the …

We consider the task of device-independent quantum state certification in a network where
some of the nodes may collude and act dishonestly. We introduce the paradigm of self …

The challenge of preparing a system in a designated state spans diverse facets of quantum
mechanics. To complete this task of steering quantum states, one can employ quantum …

Self-testing is a procedure for characterizing quantum resources with the minimal level of
trust. Up to now it has been used as a device-independent certification tool for particular …