Quantum states from normalizing flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914823570194432 |
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| author | Lawrence, Scott Shelby, Arlee Yamauchi, Yukari |
| author_facet | Lawrence, Scott Shelby, Arlee Yamauchi, Yukari |
| contents | We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. The use of normalizing flows enables efficient uncorrelated sampling of configurations from the probability distribution defined by the wavefunction, mitigating a major cost of using neural states in simulation. We demonstrate the use of this architecture for both ground-state preparation (for self-interacting particles in a harmonic trap) and real-time evolution (for one-dimensional tunneling). Finally, we detail a procedure for obtaining rigorous estimates of the systematic error when using neural states to approximate quantum evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02451 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum states from normalizing flows Lawrence, Scott Shelby, Arlee Yamauchi, Yukari Quantum Physics Nuclear Theory Computational Physics We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. The use of normalizing flows enables efficient uncorrelated sampling of configurations from the probability distribution defined by the wavefunction, mitigating a major cost of using neural states in simulation. We demonstrate the use of this architecture for both ground-state preparation (for self-interacting particles in a harmonic trap) and real-time evolution (for one-dimensional tunneling). Finally, we detail a procedure for obtaining rigorous estimates of the systematic error when using neural states to approximate quantum evolution. |
| title | Quantum states from normalizing flows |
| topic | Quantum Physics Nuclear Theory Computational Physics |
| url | https://arxiv.org/abs/2406.02451 |