Variational Benchmarks for Quantum Many-Body Problems
| Autor: | 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 |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The continued development of novel many-body approaches to ground-state problems in physics and chemistry calls for a consistent way to assess its overall progress. Here we introduce a metric of variational accuracy, the V-score, obtained from the variational energy and its variance. We provide the most extensive curated dataset of variational calculations of many-body quantum systems to date, identifying cases where state-of-the-art numerical approaches show limited accuracy, and novel 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 towards quantum advantage for ground-state problems, especially in regimes where classical verifiability is impossible. Comment: 25 pages, 5 figures |
| Databáze: | arXiv |
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