From the perspective of many-body physics, the transmon qubit architectures currently
developed for quantum computing are systems of coupled nonlinear quantum resonators. A …

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

Quantum chaotic systems are often defined via the assertion that their spectral statistics
coincides with, or is well approximated by, random matrix theory. In this paper we explain …

Krylov complexity has recently emerged as a new paradigm to characterize quantum chaos
in many-body systems. However, which features of Krylov complexity are prerogative of …

We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix
ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation …

In this paper, we consider an extension of the Rosenzweig-Porter model, the Lévy-RP (L-
RP) model, in which the off-diagonal matrix elements are broadly distributed, providing a …

We study the thermalizing properties of the mass-deformed Sachdev-Ye-Kitaev model, in a
regime of parameters where the eigenstates are ergodically extended over just portions of …

We generalize Page's result on the entanglement entropy of random pure states to the many-
body eigenstates of realistic disordered many-body systems subject to long-range …

We study the effects of partial correlations in kinetic hopping terms of long-range disordered
random matrix models on their localization properties. We consider a set of models …