The relations among a given set of observables on a quantum system are effectively
captured by their so-called joint numerical range, which is the set of tuples of jointly …

We introduce a framework unifying the mathematical characterisation of different measures
of general quantum resources and allowing for a systematic way to define a variety of faithful …

We show that the linear group of automorphism of Hermitian matrices which preserves the
set of separable states is generated by natural automorphisms: change of an orthonormal …

We study bipartite unitary operators which stay invariant under the local actions of diagonal
unitary and orthogonal groups. We investigate structural properties of these operators …

The totality of normalized density matrices of dimension N forms a convex set in. Working
with the flat geometry induced by the Hilbert–Schmidt distance, we consider images of …

In this work, we analyze the local certification of unitary quantum channels, which is a
natural extension of quantum hypothesis testing. A particular case of a quantum channel …

Genuinely entangled subspaces (GESs) are the class of completely entangled subspaces
that contain only genuinely multiparty entangled states. They constitute a particularly useful …

For a given Hamiltonian H on a multipartite quantum system, one is interested in finding the
energy E 0 of its ground state. In the separability approximation, arising as a natural …

The main aim of this paper is to generalize matrix numerical ranges to the tensor case based
on tensor norms. We show that the basic properties of matrix numerical ranges such as …

The restricted numerical range WR (A) of an operator A acting on a D-dimensional Hilbert
space is defined as a set of all possible expectation values of this operator among pure …