Neural network representation of quantum systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909139676954624 |
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| author | Hashimoto, Koji Hirono, Yuji Maeda, Jun Totsuka-Yoshinaka, Jojiro |
| author_facet | Hashimoto, Koji Hirono, Yuji Maeda, Jun Totsuka-Yoshinaka, Jojiro |
| contents | It has been proposed that random wide neural networks near Gaussian process are quantum field theories around Gaussian fixed points. In this paper, we provide a novel map with which a wide class of quantum mechanical systems can be cast into the form of a neural network with a statistical summation over network parameters. Our simple idea is to use the universal approximation theorem of neural networks to generate arbitrary paths in the Feynman's path integral. The map can be applied to interacting quantum systems / field theories, even away from the Gaussian limit. Our findings bring machine learning closer to the quantum world. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Neural network representation of quantum systems Hashimoto, Koji Hirono, Yuji Maeda, Jun Totsuka-Yoshinaka, Jojiro High Energy Physics - Theory Disordered Systems and Neural Networks Artificial Intelligence Machine Learning Quantum Physics It has been proposed that random wide neural networks near Gaussian process are quantum field theories around Gaussian fixed points. In this paper, we provide a novel map with which a wide class of quantum mechanical systems can be cast into the form of a neural network with a statistical summation over network parameters. Our simple idea is to use the universal approximation theorem of neural networks to generate arbitrary paths in the Feynman's path integral. The map can be applied to interacting quantum systems / field theories, even away from the Gaussian limit. Our findings bring machine learning closer to the quantum world. |
| title | Neural network representation of quantum systems |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks Artificial Intelligence Machine Learning Quantum Physics |
| url | https://arxiv.org/abs/2403.11420 |