We demonstrate that quantum incompatibility can always be detected by means of a state
discrimination task with partial intermediate information. This is done by showing that only …

This paper is devoted to the study of vector valued reproducing kernel Hilbert spaces. We
focus on two aspects: vector valued feature maps and universal kernels. In particular, we …

It is one of the peculiar features of quantum physics that some sets of measurements are
incompatible in the sense that they cannot be performed simultaneously. Incompatibility is an …

We introduce the notion of incompatibility witness for quantum channels, defined as an affine
functional that is non-negative on all pairs of compatible channels and strictly negative on …

The existence of maximally incompatible quantum observables in the sense of a minimal joint
measurability region is investigated. Employing the universal quantum cloning device it is …

We characterize the reproducing kernel Hilbert spaces whose elements are p-integrable
functions in terms of the boundedness of the integral operator whose kernel is the reproducing …

In this paper we review some properties of fuzzy observables, mainly as realized by
commutative positive operator valued measures. In this context we discuss two representation …

We show that there are informationally complete joint measurements of two conjugated
observables on a finite quantum system, meaning that they enable the identification of all …

We discuss the following variant of the standard minimum error state discrimination problem:
Alice picks the state she sends to Bob among one of several disjoint state ensembles, and …

We consider the problem of learning a set from random samples. We show how relevant
geometric and topological properties of a set can be studied analytically using concepts from …