The promise of quantum computers is that certain computational tasks might be executed
exponentially faster on a quantum processor than on a classical processor 1. A fundamental …

We investigate a hybrid quantum-classical solution method to the mean-variance portfolio
optimization problems. Starting from real financial data statistics and following the principles …

The promise of quantum computing lies in harnessing programmable quantum devices for
practical applications such as efficient simulation of quantum materials and condensed …

Quantum computers promise to solve certain computational problems much faster than
classical computers. However, current quantum processors are limited by their modest size …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

In this paper, we suggest an extension of the Rosenzweig-Porter (RP) model, the LN-RP
model, in which the off-diagonal matrix elements have a wide, log-normal distribution. We …

One of the major application areas of interest for both near-term and fault-tolerant quantum
computers is the optimization of classical objective functions. In this work, we develop …

Multifractal dimensions allow for characterizing the localization properties of states in
complex quantum systems. For ergodic states the finite-size versions of fractal dimensions …

We study the spectral properties of the adjacency matrix in the giant connected component
of Erdös-Rényi random graphs, with average degree p and randomly distributed hop** …

We study the stability of nonergodic but extended (NEE) phases in non-Hermitian systems.
For this purpose, we generalize the so-called Rosenzweig-Porter random-matrix ensemble …