Quantifying progress on the grand challenge of solving quantum many-body problems

The quantum many-body problem is a challenging and fascinating problem that aims at the ultimate understanding of various phenomena in the world by describing emergent properties arising from interactions among elementary particles. In this study, under an international collaboration of research groups having cutting-edge numerical techniques, we have collected state-of-the-art solutions of quantum many-body problems and proposed a unified metric for their accuracy. The quantification of accuracy by the unified metric visualizes the degree of progress of numerical methods on classical computers and clearly defines the target of quantum computation toward the quantum advantage.

 Mountain climbing as a metaphor for the challenging tasks of solving quantum many-body problems.

Papers

Journal: Science

Title: Variational Benchmarks for Quantum Many-Body Problems

Authors: Dian Wu, Riccardo Rossi, Filippo Vicentini, Nikita Astrakhantsev, Federico Becca, Xiaodong Cao, Juan Carrasquilla, Francesco Ferrari, Antoine Georges, Mohamed Hibat-Allah, Masatoshi Imada, Andreas M. Läuchli, Guglielmo Mazzola, Antonio Mezzacapo, Andrew Millis, Javier Robledo Moreno, Titus Neupert, Yusuke Nomura, Jannes Nys, Olivier Parcollet, Rico Pohle, Imelda Romero, Michael Schmid, J. Maxwell Silvester, Sandro Sorella, Luca F. Tocchio, Lei Wang, Steven R. White, Alexander Wietek, Qi Yang, Yiqi Yang, Shiwei Zhang, *Giuseppe Carleo

DOI: 10.1126/science.adg9774