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

The concept of randomized measurements on individual particles has proven to be useful
for analyzing quantum systems and is central for methods like shadow tomography of …

The Schmidt number represents the genuine entanglement dimension of a bipartite
quantum state. We derive simple criteria for the Schmidt number of a density matrix in …

Characterizing entanglement is central for quantum information science. Special
observables which indicate entanglement, so-called entanglement witnesses, are a widely …

The generalized Bloch decomposition of a bipartite quantum state gives rise to a correlation
matrix whose singular values provide rich information about nonlocal properties of the state …

High-dimensional entanglement has been identified as an important resource in quantum
information processing, and also as a main obstacle for simulating quantum systems. Its …

We investigate the dimensionality of bipartite quantum systems by construction of a device-
independent null witness test. This test assesses whether a given bipartite state conforms …

Determining whether a subspace spanned by certain quantum states is entangled and its
entanglement dimensionality remains a fundamental challenge in quantum information …

Bell diagonal states constitute a well-studied family of bipartite quantum states that arise
naturally in various contexts in quantum information. In this paper we generalize the notion …

Quantum entanglement has been identified as a crucial concept underlying many intriguing
phenomena in condensed matter systems, such as topological phases or many-body …