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

We present the experimental measurement, on a quantum processor, of a series of
polynomial lower bounds that converge to the quantum Fisher information (QFI), a …

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 …

Estimating global properties of many-body quantum systems such as entropy or bipartite
entanglement is a notoriously difficult task, typically requiring a number of measurements or …

We present a technique for enhancing the estimation of quantum state properties by
incorporating approximate prior knowledge about the quantum state. This consists in …

Randomized measurements are useful for analyzing quantum systems especially when
quantum control is not fully perfect. However, their practical realization typically requires …

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 …