Quantum real-time evolution using tensor renormalization group methods
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909380448878592 |
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| author | Hite, Michael Meurice, Yannick |
| author_facet | Hite, Michael Meurice, Yannick |
| contents | We introduce an approach for approximate real-time evolution of quantum systems using Tensor Renormalization Group (TRG) methods originally developed for imaginary time. We use Higher- Order TRG (HOTRG) to generate a coarse-grained time evolution operator for a 1+1D Transverse Ising Model with a longitudinal field. We show that it is effective and efficient in evolving Gaussian wave packets for one and two particles in the disordered phase. Near criticality behavior is more challenging in real-time. We compare our algorithm with local simulators for universal quantum computers and discuss possible benchmarking in the near future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum real-time evolution using tensor renormalization group methods Hite, Michael Meurice, Yannick Quantum Physics High Energy Physics - Lattice We introduce an approach for approximate real-time evolution of quantum systems using Tensor Renormalization Group (TRG) methods originally developed for imaginary time. We use Higher- Order TRG (HOTRG) to generate a coarse-grained time evolution operator for a 1+1D Transverse Ising Model with a longitudinal field. We show that it is effective and efficient in evolving Gaussian wave packets for one and two particles in the disordered phase. Near criticality behavior is more challenging in real-time. We compare our algorithm with local simulators for universal quantum computers and discuss possible benchmarking in the near future. |
| title | Quantum real-time evolution using tensor renormalization group methods |
| topic | Quantum Physics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2411.05301 |