Optimizing design choices for neural quantum states

M Reh, M Schmitt, M Gärttner - Physical Review B, 2023 - APS
Neural quantum states are a new family of variational Ansätze for quantum-many body wave
functions with advantageous properties in the notoriously challenging case of two spatial …

Highly resolved spectral functions of two-dimensional systems with neural quantum states

T Mendes-Santos, M Schmitt, M Heyl - Physical Review Letters, 2023 - APS
Spectral functions are central to link experimental probes to theoretical models in
condensed matter physics. However, performing exact numerical calculations for interacting …

Simplicity of mean-field theories in neural quantum states

FB Trigueros, T Mendes-Santos, M Heyl - Physical Review Research, 2024 - APS
The utilization of artificial neural networks to represent quantum many-body wave functions
has garnered significant attention, with enormous recent progress for both ground states and …

Efficient Optimization of Variational Autoregressive Networks with Natural Gradient

J Liu, Y Tang, P Zhang - arxiv preprint arxiv:2409.20029, 2024 - arxiv.org
Estimating free energy is a fundamental problem in statistical mechanics. Recently, machine-
learning-based methods, particularly the variational autoregressive networks (VANs), have …

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

L Brodoloni, S Pilati - arxiv preprint arxiv:2407.05978, 2024 - arxiv.org
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 …

Fidelity and Overlap of Neural Quantum States: Error Bounds on the Monte Carlo Estimator

T Szołdra - arxiv preprint arxiv:2311.14820, 2023 - arxiv.org
Overlap between two neural quantum states can be computed through Monte Carlo
sampling by evaluating the unnormalized probability amplitudes on a subset of basis …

Simplicity of mean-field theories in neural quantum states

F Ballar Trigueros, T Mendes-Santos, M Heyl - 2024 - opus.bibliothek.uni-augsburg.de
Representing the wave function of complex quantum matter is exceedingly difficult.
Addressing this challenge has prompted the proposal of various techniques and …