Variational Benchmarks for Quantum Many-Body Problems
Abstract
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 from the variational energy and its variance. We provide an extensive curated dataset of variational calculations of many-body quantum systems, identifying cases where state-of-the-art numerical approaches show limited accuracy, and future algorithms or computational platforms, such as quantum computing, could provide improved accuracy. The V-score can be used as a metric to assess the progress of quantum variational methods toward a quantum advantage for ground-state problems, especially in regimes where classical verifiability is impossible.
Cite
@article{arxiv.2302.04919,
title = {Variational Benchmarks for Quantum Many-Body Problems},
author = {Dian Wu and Riccardo Rossi and Filippo Vicentini and Nikita Astrakhantsev and Federico Becca and Xiaodong Cao and Juan Carrasquilla and Francesco Ferrari and Antoine Georges and Mohamed Hibat-Allah and Masatoshi Imada and Andreas M. Läuchli and Guglielmo Mazzola and Antonio Mezzacapo and Andrew Millis and Javier Robledo Moreno and Titus Neupert and Yusuke Nomura and Jannes Nys and Olivier Parcollet and Rico Pohle and Imelda Romero and Michael Schmid and J. Maxwell Silvester and Sandro Sorella and Luca F. Tocchio and Lei Wang and Steven R. White and Alexander Wietek and Qi Yang and Yiqi Yang and Shiwei Zhang and Giuseppe Carleo},
journal= {arXiv preprint arXiv:2302.04919},
year = {2024}
}
Comments
27 pages, 6 figures