Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

A central building block of many quantum algorithms is the diagonalization of Pauli
operators. Although it is always possible to construct a quantum circuit that simultaneously …

Correlations in multiparticle systems are constrained by restrictions from quantum
mechanics. A prominent example for these restrictions are monogamy relations, limiting the …

Abstract The Shor–Laflamme distribution (SLD) of a quantum state is a collection of local
unitary invariants that quantify k-body correlations. We show that the SLD of graph states …

Fathoming out quantum state space is a challenging endeavor due to its exponentially
growing dimensionality. At the expense of being bound in its expressiveness, the discrete …

We consider the problem of characterizing states of a multipartite quantum system from
restricted, quasi-local information, with emphasis on uniquely determined pure states. By …

The aim of this thesis is to deepen the understanding of correlations between particles in
quantum mechanical systems. It focuses on finding relationships between the correlations …

With limited control over quantum systems, how can we extract information about them and
characterize their properties? This thesis addresses this question from several perspectives …

Determining whether the original global state is uniquely determined by its local marginals is
a prerequisite for some efficient tools for characterizing quantum states. This paper shows …

Fathoming out quantum state space is a challenging endeavor due to its exponentially
growing dimensionality. At the expense of being bound in its expressiveness, the discrete …