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research article

Variational benchmarks for quantum many-body problems

Wu, Dian  
•
Rossi, Riccardo  
•
Vicentini, Filippo  
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October 18, 2024
Science

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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Type
research article
DOI
10.1126/science.adg9774
Scopus ID

2-s2.0-85206872570

PubMed ID

39418373

Author(s)
Wu, Dian  

École Polytechnique Fédérale de Lausanne

Rossi, Riccardo  

École Polytechnique Fédérale de Lausanne

Vicentini, Filippo  

École Polytechnique Fédérale de Lausanne

Astrakhantsev, Nikita

Universität Zürich

Becca, Federico

Università degli Studi di Trieste

Cao, Xiaodong

Simons Foundation

Carrasquilla, Juan

Vector Institute

Ferrari, Francesco

Goethe-Universität Frankfurt am Main

Georges, Antoine

Centre de Physique Theorique de l' Ecole Polytechnique

Hibat-Allah, Mohamed

Vector Institute

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Date Issued

2024-10-18

Publisher

American Association for the Advancement of Science

Published in
Science
Volume

386

Issue

6719

Start page

296

End page

301

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CQSL  
LLTCP  
FunderFunding(s)Grant NumberGrant URL

Department of Innovation, Science and Economic Development

NCCR MARVEL

Ministry of Colleges and Universities

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Available on Infoscience
January 25, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/243973
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