Simulating adiabatic quantum computation with a variational approach
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916152169463808 |
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| author | Carleo, Giuseppe Bauer, Bela Troyer, Matthias |
| author_facet | Carleo, Giuseppe Bauer, Bela Troyer, Matthias |
| contents | The theoretical analysis of the Adiabatic Quantum Computation protocol presents several challenges resulting from the difficulty of simulating, with classical resources, the unitary dynamics of a large quantum device. We present here a variational approach to substantially alleviate this problem in many situations of interest. Our approach is based on the time-dependent Variational Monte Carlo method, in conjunction with a correlated and time-dependent Jastrow ansatz. We demonstrate that accurate results can be obtained in a variety of problems, ranging from the description of defect generation through a dynamical phase transition in 1D to the complex dynamics of frustrated spin-glass problems both on fully-connected and Chimera graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05147 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simulating adiabatic quantum computation with a variational approach Carleo, Giuseppe Bauer, Bela Troyer, Matthias Quantum Physics Disordered Systems and Neural Networks Computational Physics The theoretical analysis of the Adiabatic Quantum Computation protocol presents several challenges resulting from the difficulty of simulating, with classical resources, the unitary dynamics of a large quantum device. We present here a variational approach to substantially alleviate this problem in many situations of interest. Our approach is based on the time-dependent Variational Monte Carlo method, in conjunction with a correlated and time-dependent Jastrow ansatz. We demonstrate that accurate results can be obtained in a variety of problems, ranging from the description of defect generation through a dynamical phase transition in 1D to the complex dynamics of frustrated spin-glass problems both on fully-connected and Chimera graphs. |
| title | Simulating adiabatic quantum computation with a variational approach |
| topic | Quantum Physics Disordered Systems and Neural Networks Computational Physics |
| url | https://arxiv.org/abs/2403.05147 |