Publications by Giuseppe Carleo

Accurate neural quantum states for interacting lattice bosons

In recent years, neural quantum states have emerged as a powerful variational approach, achieving state-of-the-art accuracy when representing the ground-state wave function of a great variety of quantum many-body systems, including spin lattices, interacti ...

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften2025

Spectroscopy of two-dimensional interacting lattice electrons using symmetry-aware neural backflow transformations

Giuseppe Carleo, Jannes Willy E. Nys

Neural networks have shown to be a powerful tool to represent the ground state of quantum many-body systems, including fermionic systems. However, efficiently integrating lattice symmetries into neural representations remains a significant challenge. In th ...

NATURE PORTFOLIO2025

Predicting topological entanglement entropy in a Rydberg analogue simulator

Giuseppe Carleo, Jannes Willy E. Nys

Predicting the dynamical properties of topological matter is a challenging task, not only in theoretical and experimental settings, but also computationally. Numerical studies are often constrained to studying simplified models and lattices. Here we propos ...

2025

Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method

Giuseppe Carleo

We present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC. Based on the Jastrow ansatz, it accounts for quantum fluctuations in a non-perturbative way. T ...

2025

Phase Diagram and Crystal Melting of Helium-4 in Two Dimensions

Giuseppe Carleo, Gabriel Maria Pescia, David Linteau, Jannes Willy E. Nys

American Physical Society (APS)2025

Unusual Energy Spectra of Matrix Product States

Giuseppe Carleo

In approximate ground states obtained from imaginary-time evolution, the spectrum of the state - its decomposition into exact energy eigenstates - falls off exponentially with the energy. Here we consider the energy spectra of approximate matrix product gr ...

2025

Foundation neural-networks quantum states as a unified Ansatz for multiple hamiltonians

Giuseppe Carleo

Foundation models are highly versatile neural-network architectures capable of processing different data types, such as text and images, and generalizing across various tasks like classification and generation. Inspired by this success, we propose Foundati ...

2025

Variational benchmarks for quantum many-body problems

Giuseppe Carleo, Riccardo Rossi, Andreas Martin Läuchli Herzig, Filippo Vicentini, Dian Wu, Jannes Willy E. Nys

The continued development of computational approaches to many-body ground-state problems in physics and chemistry calls for a consistent way to assess its overall progress. In this work, we introduce a metric of variational accuracy, the V-score, obtained ...

American Association for the Advancement of Science2024

Adaptive projected variational quantum dynamics

Giuseppe Carleo, David Linteau, Stefano Barison

We propose an adaptive quantum algorithm to prepare accurate variational time evolved wave functions. The method is based on the projected variational quantum dynamics (pVQD) algorithm, that performs a global optimization with linear scaling in the number ...

Amer Physical Soc2024

Message-passing neural quantum states for the homogeneous electron gas

Giuseppe Carleo, Gabriel Maria Pescia, Jannes Willy E. Nys

We introduce a message-passing neural-network (NN)-based wave function Ansatz to simulate extended, strongly interacting fermions in continuous space. Symmetry constraints, such as continuous translation symmetries, can be readily embedded in the model. We ...

2024