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| Main Authors: | , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2302.04919 |
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| _version_ | 1866914982370738176 |
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| author | 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 |
| author_facet | 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 |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_04919 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Variational Benchmarks for Quantum Many-Body Problems 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 Quantum Physics Strongly Correlated Electrons Computational Physics 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. |
| title | Variational Benchmarks for Quantum Many-Body Problems |
| topic | Quantum Physics Strongly Correlated Electrons Computational Physics |
| url | https://arxiv.org/abs/2302.04919 |