Challenges of variational quantum optimization with measurement shot noise

G Scriva, N Astrakhantsev, S Pilati, G Mazzola - Physical Review A, 2024 - APS
Quantum enhanced optimization of classical cost functions is a central theme of quantum
computing due to its high potential value in science and technology. The variational …

Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing

A Hartmann, W Lechner - New Journal of Physics, 2019 - iopscience.iop.org
We present a coherent counter-diabatic quantum protocol to prepare ground states in the
lattice gauge map** of all-to-all Ising models (LHZ) with considerably enhanced final …

Learnability scaling of quantum states: Restricted Boltzmann machines

D Sehayek, A Golubeva, MS Albergo, B Kulchytskyy… - Physical Review B, 2019 - APS
Generative modeling with machine learning has provided a new perspective on the data-
driven task of reconstructing quantum states from a set of qubit measurements. As …

Quantum Monte Carlo study of the role of -wave interactions in ultracold repulsive Fermi gases

G Bertaina, MG Tarallo, S Pilati - Physical Review A, 2023 - APS
Single-component ultracold atomic Fermi gases are usually described using noninteracting
many-fermion models. However, recent experiments reached a regime where p-wave …

Self-learning projective quantum Monte Carlo simulations guided by restricted Boltzmann machines

S Pilati, EM Inack, P Pieri - Physical Review E, 2019 - APS
The projective quantum Monte Carlo (PQMC) algorithms are among the most powerful
computational techniques to simulate the ground-state properties of quantum many-body …

Population control bias and importance sampling in full configuration interaction quantum Monte Carlo

K Ghanem, N Liebermann, A Alavi - Physical Review B, 2021 - APS
Population control is an essential component of any projector Monte Carlo algorithm. This
control mechanism usually introduces a bias in the sampled quantities that is inversely …

Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states

L Brodoloni, S Pilati - Physical Review E, 2024 - APS
A continuous-time projection quantum Monte Carlo algorithm is employed to simulate the
ground state of a short-range quantum spin-glass model, namely, the two-dimensional …

Projective quantum Monte Carlo simulations guided by unrestricted neural network states

EM Inack, GE Santoro, L Dell'Anna, S Pilati - Physical Review B, 2018 - APS
We investigate the use of variational wave functions that mimic stochastic recurrent neural
networks, specifically, unrestricted Boltzmann machines, as guiding functions in projective …

Simulating disordered quantum Ising chains via dense and sparse restricted Boltzmann machines

S Pilati, P Pieri - Physical Review E, 2020 - APS
In recent years, generative artificial neural networks based on restricted Boltzmann
machines (RBMs) have been successfully employed as accurate and flexible variational …

Supervised learning of random quantum circuits via scalable neural networks

S Cantori, D Vitali, S Pilati - Quantum Science and Technology, 2023 - iopscience.iop.org
Predicting the output of quantum circuits is a hard computational task that plays a pivotal role
in the development of universal quantum computers. Here we investigate the supervised …