The many-body problem is ubiquitous in the theoretical description of physical phenomena,
ranging from the behaviour of elementary particles to the physics of electrons in solids. Most …

We introduce a method to measure many-body magic in quantum systems based on a
statistical exploration of Pauli strings via Markov chains. We demonstrate that sampling such …

This brief review introduces the reader to tensor network methods, a powerful theoretical
and numerical paradigm spawning from condensed matter physics and quantum information …

Gauge theories are of paramount importance in our understanding of fundamental
constituents of matter and their interactions. However, the complete characterization of their …

Tensor network algorithms provide a suitable route for tackling real-time-dependent
problems in lattice gauge theories, enabling the investigation of out-of-equilibrium dynamics …

Non-stabilizerness–commonly known as magic–measures the extent to which a quantum
state deviates from stabilizer states and is a fundamental resource for achieving universal …

In the last years, a number of theoretical and numerical tools have been developed by a
thriving community formed by people coming from different backgrounds—condensed …

We present a compendium of numerical simulation techniques, based on tensor network
methods, aiming to address problems of many-body quantum mechanics on a classical …

Open quantum many-body systems play an important role in quantum optics and condensed
matter physics, and capture phenomena like transport, the interplay between Hamiltonian …

We introduce a novel tensor network structure augmenting the well-established tree tensor
network representation of a quantum many-body wave function. The new structure satisfies …