activity
20222026
most citedTransformer variational wave functions for frustrated quantum spin systems

91 citations · 222 across the 17 of their papers we have counts for

collaborators

18 papers

cond-mat.str-el2026

Designing Strongly Correlated Quantum Phases of Matter with Foundation Neural-Network Quantum States

Alessandro Sinibaldi, Luciano Loris Viteritti, Riccardo Rende +2

Materials design is an inverse problem: finding the couplings of a microscopic Hamiltonian whose ground state exhibits a desired property. For strongly correlated quantum systems,…

cond-mat.str-el2026

Kibble-Zurek Dynamics in Two-dimensional Frustrated Systems with a Neural Foundation-state Subspace Method

Linda Mauron, Luciano Loris Viteritti, Zakari Denis +2

Universal scaling generated when a strongly interacting quantum many-body system is driven across a continuous phase transition provides a dynamical probe of equilibrium criticalit…

cond-mat.str-el2026

Superconductivity in the - Hubbard Model from Symmetry-Preserving Neural-Network Quantum States

Riccardo Rende, Luciano Loris Viteritti, Antoine Georges

Despite its fundamental importance in the theory of strongly correlated electrons, the nature of the ground state of the two-dimensional doped Hubbard model remains intensely debat…

cond-mat.str-el2026

Thermalization Dynamics in the Two-Dimensional Hubbard Model with Neural-Network Quantum States

Alessandro Sinibaldi, Luciano Loris Viteritti, Riccardo Rende +2

Thermalization in strongly correlated fermionic systems remains a central open problem in quantum many-body physics. In this work, we investigate the real-time dynamics and the app…

cond-mat.str-el2026

Fermi surface change and -wave superconductivity in the square lattice Kondo-Heisenberg model

Alexander Nikolaenko, Riccardo Rende, Luciano Loris Viteritti +2

We study the two-dimensional Kondo-Heisenberg model on a square lattice, with the conduction electrons away from half-filling, using neural network quantum states. Mapping the grou…

cond-mat.dis-nn2026

Scaling Laws for Neural-Network Quantum States

Riccardo Rende, Alessandro Sinibaldi, Luciano Loris Viteritti +3

Scaling laws, the power-law relations between loss, architecture size, and compute observed in modern neural networks, offer a quantitative way to characterize the complexity of a…

cond-mat.str-el2026

Beyond Variational Bias: Resolving Intertwined Orders in the Hubbard Model

Luciano Loris Viteritti, Riccardo Rende, Christopher Roth +3

The two-dimensional Hubbard model at finite doping hosts competing or intertwined orders, resulting in conflicting conclusions from different computational approaches regarding its…

cond-mat.str-el2026

Transformer Neural-Network Quantum States for lattice models of spins and fermions: Application to the Ancilla Layer Model

Riccardo Rende, Alexander Nikolaenko, Luciano Loris Viteritti +2

We introduce a variational wave function based on Neural-Network Quantum States (NQS) to study lattice systems whose local Hilbert space contains both spin and fermionic degrees of…

cond-mat.str-el2026

Approaching the Thermodynamic Limit with Neural-Network Quantum States

Luciano Loris Viteritti, Riccardo Rende, Subir Sachdev +1

Accessing the thermodynamic-limit properties of strongly correlated quantum matter requires simulations on very large lattices, a regime that remains challenging for numerical meth…

cond-mat.dis-nn2025

Quantum Spin Glass in the Two-Dimensional Disordered Heisenberg Model via Foundation Neural-Network Quantum States

Luciano Loris Viteritti, Riccardo Rende, Giacomo Bracci-Testasecca +4

We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quan…

quant-ph2025★ 17 cited

Foundation Neural-Networks Quantum States as a Unified Ansatz for Multiple Hamiltonians

Riccardo Rende, Luciano Loris Viteritti, Federico Becca +3

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…

cond-mat.dis-nn2024★ 9 cited

Are queries and keys always relevant? A case study on Transformer wave functions

Riccardo Rende, Luciano Loris Viteritti

The dot product attention mechanism, originally designed for natural language processing tasks, is a cornerstone of modern Transformers. It adeptly captures semantic relationships…

cond-mat.dis-nn2024★ 10 cited

Fine-tuning Neural Network Quantum States

Riccardo Rende, Sebastian Goldt, Federico Becca +1

Recent progress in the design and optimization of neural-network quantum states (NQSs) has made them an effective method to investigate ground-state properties of quantum many-body…

quant-ph2024★ 7 cited

Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings

Giulio Crognaletti, Giovanni Di Bartolomeo, Michele Vischi +1

Level spectroscopy stands as a powerful method for identifying the transition point that delineates distinct quantum phases. Since each quantum phase exhibits a characteristic sequ…

cond-mat.str-el2023★ 29 cited

Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model

Luciano Loris Viteritti, Riccardo Rende, Alberto Parola +2

Understanding quantum magnetism in two-dimensional systems represents a lively branch in modern condensed-matter physics. In the presence of competing super-exchange couplings, mag…

cond-mat.str-el2023★ 58 cited

A simple linear algebra identity to optimize Large-Scale Neural Network Quantum States

Riccardo Rende, Luciano Loris Viteritti, Lorenzo Bardone +2

Neural-network architectures have been increasingly used to represent quantum many-body wave functions. These networks require a large number of variational parameters and are chal…

cond-mat.dis-nn2022★ 91 cited

Transformer variational wave functions for frustrated quantum spin systems

Luciano Loris Viteritti, Riccardo Rende, Federico Becca

The Transformer architecture has become the state-of-art model for natural language processing tasks and, more recently, also for computer vision tasks, thus defining the Vision Tr…

cond-mat.str-el2022★ 1 cited

Accuracy of Restricted Boltzmann Machines for the one-dimensional Heisenberg model

Luciano Loris Viteritti, Francesco Ferrari, Federico Becca

Neural networks have been recently proposed as variational wave functions for quantum many-body systems [G. Carleo and M. Troyer, Science 355, 602 (2017)]. In this work, we focus o…