Variational benchmarks for quantum many-body problems

• 成果类型: Article
• 署名作者: Wu, Dian; Rossi, Riccardo; Vicentini, Filippo; Astrakhantsev, Nikita; Becca, Federico; Cao, Xiaodong; Carrasquilla, Juan; Ferrari, Francesco; Georges, Antoine; Hibat-Allah, Mohamed; Imada, Masatoshi; Lauchli, 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
• 署名单位: Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS); Universite PSL; College de France; University of Zurich; University of Trieste; Simons Foundation; Flatiron Institute; Vector Institute for Artificial Intelligence; University of Toronto; Swiss Federal Institutes of Technology Domain; ETH Zurich; Goethe University Frankfurt; University of Geneva; Perimeter Institute for Theoretical Physics; University of Waterloo; University of Waterloo; Waseda University; Sophia University; University of Tokyo; Swiss Federal Institutes of Technology Domain; Paul Scherrer Institute; University of Zurich; International Business Machines (IBM); IBM USA; Columbia University; New York University; Keio University; Tohoku University; Universite Paris Saclay; CEA; Centre National de la Recherche Scientifique (CNRS); University of California System; University of California Irvine; International School for Advanced Studies (SISSA); Polytechnic University of Turin; Consiglio Nazionale delle Ricerche (CNR); Istituto di Chimica della Materia Condensata e di Tecnologie per l Energia (ICMATE-CNR); Chinese Academy of Sciences; Institute of Physics, CAS; Songshan Lake Materials Laboratory; Max Planck Society; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS; William & Mary
• 刊物名称: SCIENCE
• ISSN/ISSBN: 0036-12625
• DOI: 10.1126/science.adg9774
• 发表日期: 2024-10-18
• 页码: 296-301
• 关键词: renormalization-group method; ferromagnetism; insulator; physics

摘要

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.