Recent years have seen significant advances in the study of symmetric informationally
complete (SIC) quantum measurements, also known as maximal sets of complex …

Quantum measurements play a fundamental role in quantum mechanics. Especially,
generalized quantum measurements provide a powerful and versatile tool to extract …

Intuitively, if a density operator has small rank, then it should be easier to estimate from
experimental data, since in this case only a few eigenvectors need to be learned. We prove …

Symmetric informationally complete positive operator-valued measures provide efficient
quantum state tomography in any finite dimension. In this work, we implement state …

Standard projective measurements (PMs) represent a subset of all possible measurements
in quantum physics, defined by positive-operator-valued measures. We study what quantum …

We introduce two families of criteria for detecting and quantifying the entanglement of a
bipartite quantum state of arbitrary local dimension. The first is based on measurements in …

Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …

The most common form of measurement in quantum mechanics projects a wavefunction
onto orthogonal states that correspond to definite outcomes. However, generalized quantum …

This chapter expresses what a breath of fresh air it has been since a few phenomenological
philosophers have started to engage with QBism. In service of the newfound discussion, the …

We show that a special type of measurements, called symmetric informationally complete
positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection …