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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.11605 |
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| _version_ | 1866929595584872448 |
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| author | Sarmiento, J. Rozalén Rios, A. |
| author_facet | Sarmiento, J. Rozalén Rios, A. |
| contents | We present an overview of the method of Neural Quantum States applied to the many-body problem of atomic nuclei. Through the lens of group representation theory, we focus on the problem of constructing neural-network ansätze that respect physical symmetries. We explicitly prove that determinants, which are among the most common methods to build antisymmetric neural-network wave functions, can be understood as the result of a group convolution. We also identify the reason why this construction is so efficient in practice compared to other group convolutional operations. We conclude that group representation theory is a promising avenue to incorporate explicitly symmetries in Neural Quantum States. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermionic Neural Networks through the lens of Group Theory Sarmiento, J. Rozalén Rios, A. Nuclear Theory Quantum Physics We present an overview of the method of Neural Quantum States applied to the many-body problem of atomic nuclei. Through the lens of group representation theory, we focus on the problem of constructing neural-network ansätze that respect physical symmetries. We explicitly prove that determinants, which are among the most common methods to build antisymmetric neural-network wave functions, can be understood as the result of a group convolution. We also identify the reason why this construction is so efficient in practice compared to other group convolutional operations. We conclude that group representation theory is a promising avenue to incorporate explicitly symmetries in Neural Quantum States. |
| title | Fermionic Neural Networks through the lens of Group Theory |
| topic | Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2411.11605 |