Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …

The operator entanglement (OE) is a key quantifier of the complexity of a reduced density
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …

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

Quantum information carriers, just like most physical systems, naturally occupy high-
dimensional Hilbert spaces. Instead of restricting them to a two-level subspace, these high …

Advances in quantum technology require scalable techniques to efficiently extract
information from a quantum system. Traditional tomography is limited to a handful of qubits …

Gate-based quantum computers typically encode and process information in two-
dimensional units called qubits. Using d-dimensional qudits instead may offer intrinsic …

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 …

Lattice gauge theories are fundamental to various fields, including particle physics,
condensed matter, and quantum information theory. Recent progress in the control of …

Generalized measurements, also called positive operator-valued measures (POVMs), can
offer advantages over projective measurements in various quantum information tasks. Here …

Randomized measurement protocols such as classical shadows represent powerful
resources for quantum technologies, with applications ranging from quantum state …