A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

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 …

A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

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

Despite the conceptual importance of contextuality in quantum mechanics, there is a hitherto
limited number of applications requiring contextuality but not entanglement. Here, we show …

Quantum measurements cannot be thought of as revealing preexisting results, even when
they do not disturb any other measurement in the same trial. This feature is called …

Bell inequalities constitute a key tool in quantum information theory: they not only allow one
to reveal nonlocality in composite quantum systems, but, more importantly, they can be used …

We show that some sets of quantum observables are unique up to an isometry and have a
contextuality witness that attains the same value for any initial state. We prove that these two …

The goal of machine learning is to facilitate a computer to execute a specific task without
explicit instruction by an external party. Quantum foundations seek to explain the conceptual …

In addition to the important role of contextuality in foundations of quantum theory, this
intrinsically quantum property has been identified as a potential resource for quantum …