Learning phases with quantum Monte Carlo simulation cell
Journal
Machine Learning: Science and Technology
Journal Volume
6
Journal Issue
4
Start Page
045017
ISSN
2632-2153
Date Issued
2025-10-27
Author(s)
Abstract
We propose the use of the ‘spin-opstring’, derived from Stochastic Series Expansion quantum Monte Carlo (QMC) simulations as machine learning (ML) input data. It offers a compact, memory-efficient representation of QMC simulation cells, combining the initial state with an operator string that encodes the state’s evolution through imaginary time. Using supervised ML, we demonstrate the input’s effectiveness in capturing both conventional and topological phase transitions, and in a regression task to predict non-local observables. We also demonstrate the capability of spin-opstring data in transfer learning by training models on one quantum system and successfully predicting on another, as well as showing that models trained on smaller system sizes generalize well to larger ones. Importantly, we illustrate a clear advantage of spin-opstring over conventional spin configurations in the accurate prediction of a quantum phase transition. Finally, we show how the inherent structure of spin-opstring provides an elegant framework for the interpretability of ML predictions. Using two state-of-the-art interpretability techniques, Layer-wise Relevance Propagation and SHapley Additive exPlanations, we show that the ML models learn and rely on physically meaningful features from the input data. Together, these findings establish the spin-opstring as a broadly-applicable and interpretable input format for ML in quantum many-body physics.
Subjects
interpretable machine learning
phase classification
quantum Monte Carlo methods
supervised learning
topological phase transition
transfer learning
Publisher
IOP Publishing
Type
journal article