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Bibliographic Details
Main Authors:	Wu, Dian, Rossi, Riccardo, Vicentini, Filippo, Astrakhantsev, Nikita, Becca, Federico, Cao, Xiaodong, Carrasquilla, Juan, Ferrari, Francesco, Georges, Antoine, Hibat-Allah, Mohamed, Imada, Masatoshi, Läuchli, Andreas M., Mazzola, Guglielmo, Mezzacapo, Antonio, Millis, Andrew, Moreno, Javier Robledo, Neupert, Titus, Nomura, Yusuke, Nys, Jannes, Parcollet, Olivier, Pohle, Rico, Romero, Imelda, Schmid, Michael, Silvester, J. Maxwell, Sorella, Sandro, Tocchio, Luca F., Wang, Lei, White, Steven R., Wietek, Alexander, Yang, Qi, Yang, Yiqi, Zhang, Shiwei, Carleo, Giuseppe
Format:	Preprint
Published:	2023
Subjects:	Quantum Physics Strongly Correlated Electrons Computational Physics
Online Access:	https://arxiv.org/abs/2302.04919
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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.

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